PHOTOSTAT FACSIMILE REPRODUCED FROM THE COPY IN THE HENRY E. HUNTINGTON LIBRARY FOR REFERENCE ONLY. NOT FOR REPRODUCTION -33303^ tat Jtjn&j oj oat ixpo ooioj ptrtajfo -jrp 3U3 jo aans anaj atp 3ou 3J}3Jiq,w ssjpujpy jj otuni Xbui •tpjtsit ui 3anpu3 03 so Xpoq 313U J jnpy UOq\\ }?3JJ3 XjBHlpjoeiJX3 cu JjJO.Vi ]{M 31 JBIJIUIEJ 003 Jl 3JTEU1 noX jl *3i posu hbljj noX usq-w Xpoq JnoX 03 3§UB^ L | 003 33q|l!/V\3I 'J3q33§03 -[b q3|B3q ui jptiXqd Xy noXji Suujbj ©uotjo 3da33jd}joq3q3 si'ojpjsxijo put 4 3d33[l JO pUB ' 33B31U JO S3Jnoq 3B pjodjip XjiiipJtaip pirepapiMtu 33JJ Dq OJ[ *3l 03 3, J3J 3q3 3y *3I 33JOJU X^lJpOSUJI pUB *33ip JO 3Ulod 3B3j3 Xub ui o£uBq:> suitppnj Xub jo sjem -3g 'jpjj c5uiqj0UIBJ3q3 3Opo33OU ioti 9 3JUIU3 pit* c S3BaXjO UO SlIIlU IIIOD atp JO CU333JIQ. *3Sb srq flq UBU1B Suiiyv -O OJB q^Itf v\«S3fp:>X3 XuBUl J3nOU33j -jedqanoX ui 33113*11 joqj§i»5jjJoj '3I3jaXbUI { 3JOjD33q3 Siqi JO '33U3J -joou apuij I SupiBqj'aidnuuiloo SOU JJI.W f 3JOJ333q3 ( 3UJ l[3I,W J|DA\ 3ouq333o3e siqj^ 'Xej O3uoynpuo3i J3JBJ b si 31 3ng *q3jBoq 3ai3j3jdo3 sjpijXqj jjaq 3ip si 'jo jjnq S3puy 3q 3BqM pus Jo poo§ S3ptIIJ__ 33q 3Equ uoi3cru3;qu| UJfed subui y 'sjpyXqj ■jos3|iu 3qs puoXxjsap, UI 3lUOp3JIM S SI 333Jj! Jo$v?mt2*xJo lussuiuScin 310^0 33q Xbui 3q r 30U 3UJH333 3Bq3 SJ33 JBOI ui 3ng *3nuuuo3 3jnuj 3uun$3q 3doo q3iq.w*s383Bq.') tnq8no mem v 'S32um3g sXisod 03 sdnoy Q Of tfegccidting. wth whom oticdtalcsararo^.then to fall vpon the point ac firft, cxcrpt you mcanc to /urprifc him by fome fli»rt queition. It is bcrter dealing I with men in appetite then with thole which arc where they would be. If* man dealt with another vpon con- | UtLioiMjthc ftartoi Hrft pcrfoimancc i ual, which a man cannot reafonably J demaund, except either the nature of I the thing b rfnch which muft go be- %*.^brc- pr elf* i a van JT Of fo&mer$K*& friends. not vpon facility.lt is a good precept generally in feconding another : yet to adde lbmewhac of ones own, a> if you will graunc his opinion, let it be with fome de/nndtion.lfyou wil fol- low his motion: let it be with condi- tion :ifyou allow his counlell, let it be will 1 alleadging further realon. Of f$llmer$a*d friends. ^ ,.f~ .J..U ' I oj uaijl *s3$.irq:> Xilid sffpuq f ot aiqtjououjtp D[)3| si :t Xtuouiosput : s?injja|T5uij ^ndnpjouXtui^Jitdol 01 33ty c qnq 3ciu 3j-jjj3:i33Ui st 3jq« -3c3Utnptftp st Xjucuiuioj si Sutrpj Xytq joj 4 3uo| 003 uo unJ 31 §iii333j til st f 3tutppnj ooj 2ut3q ui Sjpjunq UtRl 1J3M St XtUl 3q 33tjp suttu t jo $OUCtap v\ 'spqnj 3jp| put snojsuin 3JOX 31t 3M3U JOj 'U33JO UI3tp 3§utq3 put tjX'qoXojdujs 3q uioqw 3joqi pM sjntpqjoq pasu ptq *33tjj3 tJMO siq ojui ajjooj loutnn 3tq3 3^ jfutCfJUVtJ iHOCf 11*1 p M3 $Xjiduuv3s*puH0da mq u3>{o.iq 3t puij jrtuj Xaqi i^sdpj uiX;oq utpui 03m sanpjuiaqi §u jq 03 Suuqnop jnq 'auojt 3Dio§qf?3u oJa jou jt 3jt3qjqj 9UIOS *3JtlJ3 3UMO JI3qj C3UI 3)fOOT pUT pU33|lp 03 3,pJt3J§ 3q3 JOJ 3JJ9U Oftq ou si 3 1 'ptojqt uoijtujijp 3tp |pq3 3[P[ : q Xtiu S3[pq oqj 3tq3'M3qi sjaqaqsoj psjapjo put 'S3utuj3f 30 9jnqt put 33i3.-»3p 03 ipsiqnj iou put p:»l&€. Further, declaring thef>rfctt making and large vfe of the Carpenters Ruler, containing a Quadrant Gcometricall : compre- hending alfo the rare vfe of the Squire. And in the end a little Trcatife adioyning, opening the composition and appliancic of an In- ftrumentjcalled the profitable Stafte. With other things pleafanc and ncccflarie, molt conducible for Surucyers, LandmeatcrSjIoynerSjCar- penters^nd Mafons. Pub/ijhcd by Leonard D i g o b s Gentleman, in thejeertofiurLird, 1556. Imprinted & London by Felix Kyngston, dwelling in Pater-nofter row, ouer againil the ilgne of the Checker. 100$. . & ^ L. D. To the Reader, Lihouoh (gentle Redder) many, excellent in Geometrie, vpon infallible grounds haste put forth diuers moft cer- t*inc andfuffictent Rules touching the mcajurtng of all manner Superficies : yet in that the Art ofnumbrin? hath been required,: ea chiefly tbofe Rules hid,anda4 it were locked M in ft range Tongues jhey doe profit (or bane further c£)very In tie the moft part : Certes nothing at all, the Landmeater, Carpenter, Afafon,vr anting the aforefaid. For their fakes,! am here pronoked not to hide, but to open, and fo encreafe the Talent which lhaue re- ceived : yea to publift in this our tongue very fhortly (if God fine life) a volume containing the flowers of the Sciences Mathematu. call,Urgely applied to our outward pratltfe profit ably plea fant to all manner men tnthis Realme. futbemeane time fJhaR defire the Artificers aboue named, to be contented with this In tie Booke [a tafle of my good "will towards them) ftbtch I wtfh euenfo to further the Readers, as I know it fuffcient for the true meafurtng and rea- die account of all manner LAr.d,Ttmbcr,Sionc£oord,G}a[f ei PaHe- ment.&c. He re mine adttice fliaUbe to thefe ^Artificers that will profit in thisjr any of my booke t,nowpubltfhed,or that hereafter Jhall be,firft anfufely to reade them through, then with more iudgement. Reade at the third readtngfrittcly topraclife : SofeVo things flj all bevn- knovine. Note,oft diligent reading, ioyucd with ingenious pratftji ctufitb profitable labour, Th;u moft hart ely farewell ( louing Reader) to whom Itvifh my fc/feprefent, to further thy defire and praUtfeinthefc. A z The THE PLEASANT PROFIT OR content of this little Booke, and in what it cxcecdcth all other fMJhed, iTbct bookes toforcputfoith in ourEnglifti tongue, contained onely the bare mcrrfuring or"Land,TW- y^^^! her, and Boordrhow agreeable in all places to the rules olGromcttie, let the learned nidge. Horc (gentle Rea- dcr)cheu (hale plainly pcrceiue through ttiiigent reading, hovv to meafure truly,and very fpcedily all tmnncr Land, Timber, Stonr,Stcep!es, Pillers.Globes.Boord/jlafle, Paixmcntj&c. without any trouble : not painted with many ruIcs,or obfeure tearmes, nor yet with the multitude of Tables, as heretofore hath been: in which not a few errors were committed : for thatcaufeno tuft account might any way be had. Furthcr,yc (hall by this booke vndcrHand the whole making and comely handling of the Carpenters Ruler, with the true meafure, &c. And his vfc appointed to the readic mealuringofallkindc of Timber,Stor,c,Boord,&c. Alfotheleuelling of grounds, and taking of heights, is plcafantly and diuerfly pratfifed by the Ruler. Ye haue here not the common, but the rare vfe of the Squire,applied to heights, lcngths,&c. And to the finding of thciult hourc of the day diucrs waics, through the aide of pleafant Tables newly adioyncd to my generall Progn oftica- tion : by the which the pioportion of things, dircdt or fquire- Kvife (tanding.are by their fhadowes knownc. To conclude, in thcendofthis Bookeis added aTreatife.. (hewing the making, and vie of an Inftrumcnt, by which yce (hall get lcngths,iieight$,brcadths,wideneiTes, where or ,j howfocuer they Hand. Other ncceiTaric things arc contained in this little volume^vhich I •g commit to the diligent I I Reader. DIVERS THI NGS CONDVCIBLE TO THE ARTE OF Mcafufing. The firft Chapter. &rbercarc fetoe draftfmen Uibfcb charter bane all tbc tuners of ftrfrbmetihe namaSti reao:lt>: fo 3S dqc fuppofe none fo ig* nojant, but tbat ticv noe, oj map rafiltc pereeiue tbc fimple flgntfica* M'ona of rhefc £barattcrs oj figures, 1.2.3.4.5.(5.7.8.9.10. 3no alfo tbelr ff rcngtb in tbe firtt, fecono, ano tbiro rames placet). i5ffioecfbaf,tb?i'niua bee familiar toitbtbefe anD fucb like fractions* I " 7 ti Tf ? t Tr-OefirnftefUDartbetohenetbcncfe. Fraction*. tono pare of an tobole,bc it pcarcb,3ncb, 0; anp ctber mca» Tare : tbe ntjtt,ene tbiro,tben one fcuentb part : t be otber t\\> fulng,enc urreciub.^conr tbtctic ana t!»3 parrs of an Iiub. Cbcnfolloto rlr.ee fourths : foorc ftfttjs. setje (ad is nine tetttbtf of an 3ncb : t ijat is nine parts of an 3tacb,bmi0eo (nto tenne portions. Cbefc 3 Doe intense to pat in my examples , anD in mp tables ano margtucs follototna/, tu repjefent parts of pear* (lies 0; Jncljcs. fls tf 31 tooulo u>aue balfean 3 tub, aftec a 5 n)ts 3 rf ;' The Art of " rbfs manner I.SSbm quarters of an mcb tbus) £>uee(gbC of a pwrcJj.on 1 1) is Uitfe \ so of tbe reft. 3U is rcquifite aifo ijcrc to open tobat a yeareb>a Dap U) oibe,a ftaoBc>anD an Nereis. aitbougb tberc are timers opinions engcnD:co th:ongft longcnftontc(amanpplarcfl,oftbclengt!jofal3earcl>Ct)pon \yfcicb our cbfefc matter oepcnDetb)pet tberc is but one true l^earcb bp Statute nppopnteDtom:afarc bp. C&bcrefn is o;oamcO t h; it Barlp copies ? t c a n c r o u no to make an incr): ttoelue Intbes,a Jfootc : tbjee $ cotc^a Acre. !*aroc : 6uc garoes, ano ;. a pcarcb : f::ri'c pcarcocs in lengtb.ano foure (n fc:cast b an Acre. &o an flrrc bp ttatnte ongrjt to eontame ifo.pcarcbcs; the balfe 3rrc 8o.pearcrjcs 3 a ftarte com* rnenlp ealteDa qnsrtcr -to.pcarcbrSja bap 100384. Wearcbes.Lobcrc tbe Acre crpjcHco toltb bis lcngtb,ano b: eactb- Ionruments % muff not omit tjcre to fell pou tob at tbing Is meet eff to lol ?" fu j e mcafnrelano toftb.SEbeutifeeommonip In tbc countrfcttoo cord knoSed ^oalcs ; dtbcr of tbcm tbc lengtb of a pearcbEbep arc Ucrp p f oGtabic SQ0&. ?? c t fo; all ftinDc of Jlano, a Cojoe flue Pcarcbcs In ttaffc. icng t b,ioc ll fearco ajitrj toarc ano rofen, hnottcn 0; marbeo at tbc cno of cucrp lPcareb,fs mo j c mate ano r caoicr .l5u t in rap fan tafie,tbc fnttrument bicb be ruttctb) ano toitb tbat Iengtb and bjcaotb enter pour table of aceounf,as there fs fe t fojtb. &o ty.Ul fe pcrcauc tbc number of :3crcs,tt opo^D wtoo; Hmc. Example. r;©; tbe perfect meafurfng cf STrf angle e afo;c fignrr o,ano alt otber,fappo fc tbc fee one of tbefe latt nine figures of the otberuoe, bauing tojitten aboue ita.b.c.d.tobccapeeeeof Iano,Uibercof J tooulobaue tbc true meafure, BlfinDebp a Ccjoe, otberunfe, tbc p:tchcD banging line a. b. to bee 23. pcaccbcs : tbc fioe b.c. tobteb it cuttctb fqutretaife^. Ipear* cbe0,lobofeba!fei02 2. caitbtbcfezi.aim^. tbceonuent' rnt iengtb ano b:caotb, 3 enter tbc table of account. SEbcre 31 finer bp tbat ££nb!c at tbecojncr Uiijeic botb tbc line* cf conuenient Iengtb anu bjeabtb oai meete j. tfcref, 6. Dap tuo;Hc3,nr d tiuo pcarcbes to be in tbat triangle. SEbus of all befoje figurcD. dperc note pour ECablc mnft rocrfece entree toitb all tbc This Table jaearrreo of tbcbangtng Une, ano toitb batfe tbc fioe tbat be toiiowcih. cuttctb fejufreluifc* £>; toitb tbcbalfe banging Une, ano tbe tobotcfiaccut. -C A figure The Art of A figure of a double Triangle. Tfyis figure e.f.g.h. is bat ttoo Crf> angles: anatberef sic meafarcD as aboue in ttuo parrs. Q: tljus : SDbe banging Kite, c.g.tS33 Pearebeo : tbe 0dc f.h.tiwtbec cu tctbfqutretoifc 20. pcarcbes,tbc baifcof tbeiobicbi* io« $oto enter pour £ able as afoje, \u ttb 3 3. ana 10. tbe conucnicnt Icngtb ano b;caotb. £>o (ball pc ftnDc ttoo acres, tuJoE>aptoojRcs,anDtfo)o Pearcbcs, tbe true content cf tbfo figure e.f.g.h. Another example. AtDmit ilcl.m.lano to be meauucb.UBecaufe it fsno man* ner2£tfangte,ftiimfi be b;ougl)U» imagination, as 31 ny Angles. ^ f ^ j ntfl fl rr f (anglc fl , £r r f ans |J£ m fa fmagfoatt- on is becre fignificD b i> tbe hue aa tyco LI. Subcn as aboue is Declares, ft ougbtfo bee meafarcD (aeeoj&mg fotbe rule of SCrianj!rs;mtU)3parts,bceaufctn::rc arefiuo SCrftnglci in tbat lauD. bo bp p;cofc ye ujai! finOe in tbe Upper i. ™. 1. enc 8cre,?.tUoDes,ano fine $Daptoo?iis;fn tbe otbcn.k.l.une 3ae.£Cbu6 3igat!3crl!)c tobolc content of tbat JLano,to bee tujo 8crcs,tb;ee Koobes,anfi Cue gDapfoajftf. ft one meafuriog of Land. #oneotbertoifc of tbe aofopncD n.o.p.q; ana all other ft* gurcsfollotmnjj : ano otfccr IMatfoeuer tbep are,tbat bp anp mcanes map be b;ougbt Into SEiiangles. i?urtbermo;e mtoti) tbat tbc figure i.k.l.m. is rcabtlp tbus WfafurcD. floce tbe jpcarrbesofbotb tbe bangmg lines to* getbertfo bane pee 2^. CCLlitb totes number, ano toitb fcatfc tbeprarcbes of tt)c Coc,i.!.Uitjtcb bec cuttettj fqaircwtfe, be* tug io.1Pcartbes,cntcrpcurIDible.^ofsfQun&as afoje. SDbcfc ttoo figures foltotufng map alfo beef bus mcafurco, otbci totfc tben b^tije rule of SErtanglcs. Cnrr r pour 2Lable lDi;l) tyefr comicnicnt lengtbanc bjeaotb.^o Ojaii pou finoe tbe contents cf all fuck JCbefc tlncc figures follotofng,aIfbongb tbepmap bernea* furcsup tbe rule of EDrtangtes, pet foj qufefeer fuccoe, tbcp tan: alfo tbeir pzoper mcafuring as enfuet i). Lap togctber the tloo noes tobfeb are parallels of the fir ff figure a. tbat Is <5.f 1 S.mahfng z^tbc balfc is 1 2. tbe bieaotb 5- Cntcr Uritb jano 1 2.pour tabte.&o banc pou one rmD.anb flue bap toojfts. j*o? tbe otber ttoo b.cano fucb if !?c,lopne tbe Ijcaos 0; cnos in one:ano enter pour table toltb balfe of tbofc pear c tjes, nnD foil Ij tbe Xurjcte number of tbe m too Ic line. b € l \ nc to 7*\ X » ± s w x *• The Art of lion Foorc rules following. How by fupputruion to mcafurc ah mangled land. Tomeaitre T£)pne all tbe fiocs together s tafte balfc on? of rbaf balfc, trUngted und lpuilcncrpfiOc, noting tl): Difference. SClKiunuhMpUf the by lupjHia- oiafercncc8,tbc one in rtjt otbcr,ano tbe rbus D (Terence aug» ment fit tbe p:oou. A rule for all aianer Regular or nVht fquared Land of many lideSjas 5.(5.7.8.9.10.20 100.&C. 7^* tiif. Chapter. 3afurcf.no lap all tbe Ores fogc tbe r. fa Mug fbe lalfe number of ^:anbrs tbere conr ipucO. &bcn o:ali) a ri gb: bang»ng line from tbe Ccn* I fcr 0: mi&Ccft of tbat figure, 02 tbe uitccrft of fame one fioc. anotoitbtbat lengtban&tbe o» tbcr,cn'er pour Cable, #otctbat tbe JErianglr of alt ftoes llbc , ano "tbe £uao;ate figure are alfo mcafurcb bp tfcts rule Example. Sappofe this figure a.b.c.d. to bar a ffre fguare pare of JLanfi.ano eucrpfioe m- Ipearcijcs. £&c tjaliefunwtc of all To mcafurc land ot many ii-.-s. meafiring of Land. 5 aUfiDesfo7*.p™rcncs:tbcrfa^t&angfng pjfchcb Imea.c. » 1 . pear ct?c0. »tb tbc fc t lau numbers pe mud enter pour Cable of account f oilaiwmg bcrcafter. 3nD D je as is openro In trie Declaration t Ik re »oi j ,>nco, Voben lumbers farmount trjc Cable as rbet> Dae here. 3>o U>ili PcfmOey 3crr*^.ttiBD,nnD8.£Mt>iDD:*tfs, tbe content ofttys figure a. b.c.d.©uen tbus ts tbeor^cr nme fqaarco figures mc afureo,dno fuch HKc. 1+ f\ ac t» «a Z* ^4 A Rule for round Land,and * the parts thereof. Tbev.Ch*fter. fllfetbc Diameter multiplied in balfc the <£fr. Archimedes |i umfcrence, u>u>etb tbc content of anp Circle, in libciio or- 4D?tbus mo:e platnlp. ?e $all enter ponr cu,,menfui * "able toub balfe tbc number of pearcbes of the uonw - tohole Circumference dj rompaffc, ano toitb the nun b^rof tjalfc trjr Diameter o;b;caDtb 3>o bane p« tbc content. B 3 Example The Art of Example, SdppofcapffccoflnneM^coft^eccmpaffciuioo.pear* cbes,tbe b;eaOtl) p.t.^e; r£t)i 0, J tooulb Rnoto bcUnnucb Long is in tbis figure .enter pout Stable lo:i:j batfe tbc com- paffe, tbat (s 5°*ano v»itO balfe rte .^J ? - », b;caerb, tbat is i6.pcarrijrs. JBc* y^ 1 tmife in tbc Stable 3 cannot nncc 5 C » / foj tbe grcatett lengtb fs 40. (tfcerc* / I fo;c 31 enter loftb 40. ) ano 1 6. &>o c I* ** 3 fount) fonrc £eres. SD&cn 3! enter a> V gainetottlntf.lPearcbes remamiinr, V ano 1 6. tbc b:ea&tb as bcfo;c , Hat ^^ .. Iijtngctft i.Scrr. i^ototorcnelutrbpaDofUon of i.an»4-J finDe fine 3crcs in that ronuDLauD,U)bcrcticl:ecoiJtpaCrc is 5o.pearcfces,ano tbe bjcactl; itf.pearcocs. How parts ofPe.mhcs arc to be counted in mcafuring. F£>j perfect fenotolcasc ano fcfc of tbte Sable follofofng, toben parts cfpcarcbcsarc aDisjuicD, note lutit tbis o« tber trample t(:at mfnrtb, ana alfouibat is faio of tbc occla* rattan annercD bnto the table, fD&en parts of Pearrbcs arc in tbe lcngtb 3 bjcat;t. f ?,o; botb. imagine £gh. to be arouno peecc of LanD : 3! finfie by mca* fare tbc U)bole compaflc, 99. jj locate Ijes. Ebe battels 49. ~. SDbc banging &fne o; balfe bjcaotb iB 1$. £. (Snter poor Stable toitrj t!;c to&olc ^ear» cbes, tbat is 49. ano 15 lea* uingout ;.mu<.i.u>&tcb tocre but parts of pearcbes-^obauc meafuringofLand. 6 pc4.3err«, 2. Uacs, 5.2)apUjo2fej,an3 ?.]9tb ecntrartc toifeintbclcngtb. jftbercbcefocboooe parts in botb, tben rcchcntbentoftbe!cngtbmtbett>boleb;caetb, ana tbcm of tpcb2caotbui trje lofiolc lengeb, lopnwg to t\)t otber afoie Sottcn,remembj4E>ap* Uio;ks,5.pearcbes,anb|.ofapearcb,tbepjoouctoftbconc f radio muMplfeo in tbe otber fuboucieD.£2lbat mutt be bono loben tbc numbers toberewttb pe ftjcnlo enter, ercccbc pour table,coanfcl tbc Declaration of pour tabic tbcre aofapneo. Ofthehalfc Circle. F^MbisbalfetfrclMrTrertbe %, g To^cafure Cable totfb batfc tbc com* J* — Sr"**V J*«"«W pnflTe. anb Urftb baifc tbc SDfa> */ I*. X * merer of tbe Circle, oilmtb tbe Icngtb of tbe pjlcueb bangfog line, k.!. &>o tbc content of tbts balfcCtrrle fs 2. Acres, i.Ucdo, 7.pr.ptoo;Ues, 1 .]^earcb,ant'-; ^,of a I^arc'o. Another The Art of Tomeafure parts of cir- cled Land. X N I ac Another example of Portions and parts ofa Circle. S&ppofe n.ra .o.follaimng, loerc a part of a Circle 02 ptrce of HanD,tobofc Content i_>c ccfiuo.Stjc toboleCompaffe of rtie xltrclc tulilcb tfjis poitfcn repjefentctb, (s (as afo;e> fan) 99. pcarcbes : bis Diameter 0; b;eaDtb 31. ;. Cue rnefecD arbe 02 Compaffe, n .m.o. 15 74. #oto to f tb t be balfc 15icaD tb 0; S>r mtoia meter of the Circle, 1 5 . {.ano UHtb 37. the balfc of :hc pjlcheo Compaffe : en. cr pour Cable. £>o nauepe 5. acres, z.UooDcs, s.DaptoojRcs.ftjcarcbes, ano -J-.of a pcareb, the Content oi the pace of llano full of p ju Its, to tbe fioes cf the SCrtangle p jtclicc. ?f pc Oefire to an to tbe fum of pcarcbes In the other poi* tton beneath the 2Enancjlc,fe* parafcD bp the Lmem.o.rce mutt abbe the Content of tbe STriangle (tobteb ts^.Uoobes ano ,'• ofa pearcb, founD bp tbe Hate of £T r tangles ) to tbe Seres ano Searches before fcarcheD. ©0 untie re 4. acres, one Uoobe,5 SD iptoo2BS,tb2ee pcarcbes, and ;.of apcarcb. SCfafe fuburactcn 02 pulleD from tbe number conrafneo (n the tobofe Circle, the remafnt is the Pc arches tnefaBco mtbc fmall peece beneath tbe SCriang U .£b .u is, 1 .U© o, $ 6 .pear* c&cs, ano -;- of a pear cb* How mixed Figures are meafured. Land com- TSbnihcncnenoto totll Doubt bote tbefet too figures fol* pounded of XloVDingarcmcafureOjbecaufe tbep arcmaoc of portions oj paru P ar ** of Circles, tobofe mcafure is bcfoie fuffuieiulp ope* neo fo 2 5* 4hk ■*■ 4- \ meafu ring of Land. y neb^be one conOffmcf of tlDO balfc Circles, f a ©uabjangle: tbe otljcr tetafl tfcc pc;uons of tbe Circle, m o.ooubleb. o let it t ben be meafur eo : anD after, from tbe p;obwt pull aioap tbat pe aocco : tbe remafne is tbe Content. To findc the content fupcrficiall of Steeples, ColumncsjGlobeSjand their parti. TQ tbe 3rftbmetfcten 3 tap : fo; pfcheo atopics, muUU Tomeafure pUc tbe tobole ffce in balfe tbe Circumference of tbe steepics,Co- 5Bafe,aDrjfngtbepIafneoftbat H5aff. fo} ptllcrs, augment }£?■* tbe Circumference of tbe HBafeln tbe Wgbts, putting to Globe »>** tbe piafne of botb IBafes. for tibtef ,tbe Diameter in tbe Circumference multiplied : euen fo of j?r apments o? parts* ILettbemtbat bee feoioc of arftbmetthe enter mp Cable of account following, mitlj furb numbers as 3 nolo taflleD tbe gritbmeticfan to tnnltrplie, not forgetting tebat 3 bane be f o;e w; tt ten. £o % feruc tbeir tunic. C Or Tomeafare pare* of Globes. The Artofmeafuring Or thus by the rule of proportion, the parts of a Globe are found. SEJppofc a. b. c. to b& a pace of a C5t3be,an*4. to be a p:opo:tion of tbc Di' amctc r,rbc tobole being 14. SI) us 31 fdt', 1 4. t be togole piamctcr giuctb 616. tbe Content fapcrficiall oftbe Circle : fobat $All 4. b;fng i &o banepe i76.u>bicb te tbc content of tbatpecce. To find the Diameter by feme knownc portion thereof! To finde the Tjf pe be fgnojant fobat lengtb tbc Dimeter oftbe <£51obe vnknownc Jj0,tobofe pjopojtfon pe banc ,tbe bclgbt 0; part of toe SDc r,'i!^ tcrof a meet ent being 4-foote,augincnt balfe tbc Hnc a.b. u>bfcb fa 6*. L in bmtfelfc, nno tbe p; ocuet omiDe bp 4.&0 banc pe 1 o . to be aooco to 4. tobieb mafcetb 1 4-tbe tu bole D tame ter. The true meafuringof Moun^ taincs and Valleys. Tbe vi. Chapter. Tr ft pe (ball meaforc tbc cfrcoff of tbc f oof e, ox Bafe of tbe £d oun tame : t be n tbe compare oftbe S?ummittc c; top,a:&ingtbcmtogrtl?rr. doQal jneOoe oftbe 3 cenfes, (bat ta,t be going bp from tbe foote to tbe top, i opntng tbc ineafure of tbe longer an^djoucrtn one. #oto tafcetbcbalfe of tbc circuit aooeo,ano tbe balfcpart of tbc 0fcenfc0fopnco,anD enter pour Sable ; tbcre u)all pe fee tbe Content. Enfample. Globe. Tomeafiue MouQtainci. iOO Mountaines and Valleys. 8 Enfamplc. A.b.c. is the SBonnfainc: a.c.tbc cfrrnff of tlic 13aff,bcfngF;cureofa loc P(?.rcl?cs, b. t be top i6.pcauljCS. ©SblCb toplieO tflgC Mountains fbrt make n6.b.c. tbc one afccnfe is S5.]pcarcbes:tbe o* t&cr 75. £Cbe(e ao* 6rD make 1 30.C0C balfe of tbc circuits Is 5S.the baUe orttic flfccnfrs 65. loir!? tbefe t\oo famines pec fintl enter pour Cable of account, ttrfjerc pit fbaltfinae %l .acres, 2. Uodcs, ano i o. jrfcarcbes, ttje true content of t&tefigureobiU. Of the Valley. A& m tbc e&ountamc pe meafureo tbe circuit o? compact To meafuit of tbc I5afc 0? if oote : fo bcre romrarte per Ctjaii mcetc Vaiicyt. rouno about the circuit o: cempaffe of fbc bcigbt of tbc Vtib lep. 3no as per got tbc mcafur e o; compaffe of tbc top of tbe fountain e : fc mcafurc tbe circuit of tbeoeptbof tbe SUaW lep. 3n like manner as per meafureo tbe afccnfe,t bat fs,tbe gomg.top from tbc fotc to tbc top:fo mcafurc tbc Difccnfc 02 going 00 tone of tbe lmll,to tbc beptb of tbc Haltcp.JEbc reft al \D02k, as 3 banc u)etoeo poo in mcafuttng tbc SpGuntain. iFonnoje plain* * mm , ncs,bcboiDtbte enfampte 0: ft* m ^^^ ^**^^& gnrc. "it pc lap togctbertbeetr? CUItCi of toe befgbt % Dcpiti, •«■© f tobtrb is 2 1 o. * ano so^taiitng tljebalfepartof tbofc ttoo Circnttcs, maWng Figure of a ValJcy. an The Art of meafuring anno s tbcn tbe ftoo 3feenfcs 140. ano 60. a&oeo in one p;oDuct 2oo.tlj€i)airc thereof being 100: tuirh tins ano 120. tbeotberbalfc of tbe bfcb beginnctb at 1. ano enoetb rigbt- Tabic ' toaroat 40. Lone tbe otber fumuic of Pearcbcs (J meane rye i5\:caotb)fn tbe rigbtfiocano banging margine, from 1. Dcfcensing to 50. #ou>at rbc meeting of tbelfncs,toberc tbeone am'toerctb tbeotber cirectlp ma fquare, pou tyall finbe toe acr*0,ttooDe*, SDap U>ojke0,anopearcbe0. i^ote tbat t'oc firtt number fct on toe left Goe, ano tipper part in a* np fquare, Ognlfi e to tbe number of acres. S3bc figure 1 . fet In toe tipper part, ano rtgbtffoe,Dolb betohen a*toooe:tbe figure 2. there ttoo ttoooe0, ?. tb jec ttooces. flnb tbe fi* v ur c in tbe left Goe beneatb, Ggntftetb a SDap Id o;ft c, 0; Dap tejoihes. 3 figure in tbe lotucr part rfgbttoarD, Decjarctb pearcbes. A Declaration adioyned. WOenftcbancctb tbat tbe one number 0; botb, toitb tbe tobtcb pee ft): ■ ilo enter tbis Cable, arc greater tbanaupberefouno: ft begouctb pouto tali e tbe balfc of tbe one,nno tbe tobctc of tbe 1 bcr,oi tobat parts pe lid of botb, molrcomuioOiousfoj pour purpefe, t fo enter pour SCnblc. L ool;c tben tubat is there fcuno, ano it u) ill beare bis name of tbe parts multfpllco in tbcmfclues. Enfainple. Mountafncs and Valleys, 9 Enfimple. fenppofe t be number ton!) tb'c tobt'rb pe CrjotilD cm rr ponr 2Cable to bee io;.p;arcbcs In length, ano tbe bzeaotitfo. neither eftbefe map befautto rn tbc margin cs : tohcrcfoje 31 take tbc tbita part of an 130. toljicb is 3 4. pearcbes, ano one remainctb. SLbebalfe 60. tb^f is 30. 3! finoc toub entrust bem at tbe common meeting tf.flrrfs, 1 . ttootsc, ano 5. Dap toojhes. Cbfs fumntc muft banc bts name of tbe parte augmentea in Look c what 1 tocmfelucs. 31 tooftetbe tbtropartoftbe one,anobalfe tbc haue (hewed otber number, therefore *. muft be multiplies in 3 .0: con* i' 1 rhc chapter trarie: fo baue pe fire, tobicb fignifietb that pe bauefouno of PS5* bp entrfng,buttbefirtpartof tbc number pefyoulo finbe. hcreofwhoi. SClhercnwc 31 mud tafte this fumme tofojc founo (being Pearehes. SLtttfi, 1. UooDc,anD5.Dap too:hc3) fire times as mucb. leaiHubtr*. ^obane p« 33.arres,anoencfcojDe. jfoj tbc Ipcareb re> ftiD s»* c « main ing in tbe length , reckon bim in tbc bjcaotb (as is af o:e bcclarctOin tbc a ft Cbaptcr of tbe Uemaincs : To baue pe 60. pearcbes moje to bee aoocQ. &>a tbe encrcafe of rbcfc ttoo numbers, 1 03. anb 60. amount to 38. acres, ttoo ftoebes, anb5.Daptoojhc0. iEbue anp manner length antf bjeabtb is rebneebtc tbfs Eable follotoing, tobicb fuff icctb. Cbns toitb fcto toojes fsenocDtbe rertainc mcafurmg of all manner tano, touching tbe &upernculi Contrnfs. GHberefoje noto tyall folio to tbe true meafurlng of &im> bcr, fcfone, Steeples, pillars, ©lobes, ar:o;omg to tbclc CraHttnoe. feucb as are altogether fgnojant of flrftbmctine , map rechon bp our CBnglffb ropncaltotomg fo: cocrp pearcb in length ci bjeabtb a penfe, ano fo cuerp $tarbe mahes an Sere, eucrp $3blc balfc an 2:rc eucrpfohe pence 0; balfc #oblc,aHa)De,«n&cuerppennica fquarcpcard).3no fobp mcmo3fctottbout£Dablcs,map in fomcruaeana gro0ema« ner, eait Up rcafonablc iatt the true contents of all Clofcs, $peootoes,^aru>0,l£)ilsQj aallcrs. €3 oj at a CX3~tA-BVIyS^s COMPVTATlONlStO 10 w«3i TO THE READER. T commeth commonly to parte, that Carpenters , Mafons, and fuch like Artificers, are put ei- ther to meafurc timber eueric way fquare, or fquared logges, broader on the one fide than on the other : yea,many times mu- tilate or vnpeifeel ftuffe. Some- times threejfiue^enjOr twentic fquare in thehead,and fb through : oftentimes round Stone or Timber with holIowed,&c. Afore I (hew vntothem whatmuft be done with fuch peeccs of Timber or Stone,to get their true meafure, my defire mall be, that fuch Craftmen will Ieaue to be heady or fclf willed: yea [6 greedily to (tide to their corrupted iules,thatvtterly they refute to be taught. Both learning and experience declarcth vnto me, that the grounds which thebeft of them haue,are falfc. To open how and where,it needcth not : neither doth ftappertainc to inftruclion, onelyit may fuffice him- that Jiketh the true way,herc to receiuc it appointed to him. Yet to fatisfie and content him which will not be- lceue any fuch errors or falfe grounds to be,I f ly (and truly) that the Ruler of Timber meafure, which the moft part of them hath, is not made by right Art. Be- fides - Totbc^Reader. fldcs that , their craft in feeling the Square of Come Timber is very falle. They vfein meafuring, to lay the broader and narrower fides together in a lumme,and to take the halfe of that number for the Square. Then they feeke this vntrue Square vpon thefalie Ruler,and fo meafuring the Timber,they conclude of it vntruly. As this is corrupted, lo are other Grounds which they take to be infallible. Now to the purpofe : tou- ching the correction of thofe Errors , with other not mentioned, whereby true meafuring may enfue, this way fhall be taken. After I haue opened how you muft handle all fuch fafliioncd Timber (as afore is fpoken of) there fhall follow a Table, in which ye may finde (as I will declare) the Square of any Stone or Timber. fcaFoote Thatknowne,itisrequifiteto haueanotherTableim- tJnVd j"™" mediatly following, which may appoynt to all true inches. Squares from i. to6. inches, theiuftlengthtomakea Footc euery way fquare. With the length agreeable to your Square, your Logge muft bemeafured. And as oft as ye find it from the one ende to the other of your Timber,(b oft ye may conclude the Footc fquare to be contained in that timber Logge, or Stone : that is, Co many fquare Feetc there to be included. This Table of Timber meafure ftandeth in the place of a good Ruler, well decked with true meafures. By this yc may make or correct Rulers at pleafure,as after appcareth. Now orderly fottoweih the true medfuring ofallfajbhned Timber or Stone aforentmed. II How Timber or Stone fourefquare cueryway,or broader ontheoneildc than on theother } is mcafurcd. Thevij.Chdfter. ' Jf a prccc of Stfmbet 02 fr tone, be e(* tber equally fquarc, bjoaocr on tbc one (ioe,tban ott t be otbcr, pee f^all take tlje tuft meafure.l meane, boto manp Jnchcs t!;c b:oaDer fioe con* tainctb : cacti fc of tbc narrower. £f)ff Donc,pre n aft feckc in tbc £Ca* [,ble oi snu.irc0 follototng,tbemea' fnre of tbc tooaDcrfioe 01' tbc Sim* bcr o) s tone , fn tfyt bppcr margfnc of tbat Sable. STbcrt Iffihe fo? (be number of 3ncbes,cf tbc equatl 02 narrower Coc in tbc rigbtp3rtano banging margfne. 2Lt tbc common meeting tobcre tbc one number anftoerctb aircnlp to tbc o« tbcr,tbcrc poor true Square (ball appeare. Sbts square fo founo, (ball be rcferreo to pour Sable of HDtmber meafure : in tbc loblcb pee map plainclp fee (if poo runnebotone bp tbc left margine,tjntill pour Jnttico fqnare appeare) bo to utanp 5?e etc j 3 nebes of pour JKucr bclongetb to a Jfootc fquarc. tf 3 often as tbat mcafure tberc founo te contafneb in tbc SCfmbrr 0: fetcne, fo often ano asmanp Jfcetc fquarc pee map r wluoc(um bou t &cabt}tbe pcccc of Z tmbcr 0; stone to bauc. £) Enfample. 20 The Artofmeafaring Enfamplc. ^uppofc tbfs fqnareb timber o: £>tonc a.b. c. d.focr? f o fcemcaioreDjtlje bjoaoerfioea.b.io.Tncbes, tbe narrower foeb. c.n.3nctje0,tt)elcngt!)4o.3ncbe». ilioto 3 mud fec«et!>cb:Q:.bcrfioe 2o,mebebppennarglne of tbe Sable. SCbe narrower fibe 1 3 , nmft bee f oono In tt*e rlgljt G&e ano Ranging margine. Sit tbetr common mcetmg,i<5.Inebes,anD;.partofan 3ncb fyal appeare. Sbfs true fqoari matt be fearcbeb fo: in t lie Sable of SDunbcr meafure. Cbercfoje loohc fo? i6.iu tbc margine of tbis ffl> Me. 311 ftcS&quarcs tort bbimr.gb l* tsarb, pe ftjall finoe 6.3ncbcs, anb J. tobfeb is t b:ce quarters of an 3ncb. g&omc beale left of pour Uulcr t ban 6.anD ;. latD out topon tbc EDfmber, mafectb a jfoote Square. 0nD tbat meafnrc fobfrectlp banbleb, is con* rawebui tbe lenjtb of poor SlmberGrc timts. CGbtrcfeje affirms fire f oote there to be, befibe tbat ts left 5 V part of a If cote, #otc becanfe tbe squares at all times (In tbis On* temple) rife not to earn 3ncbes,but fometime to obse parts: rbcrcfo:c aeeo;btng to pour bifcretion,aooc 0; tahe atoap feme part mo; c 02 teffe in fctt tng foo;trj tbc JToote fquarc, as aboue is perfo;meo. Ht toere Intolerable febfoufnefTe, pea foipofflWe to fet fooitb tbetrne quantities of Ctmbrr meafure, to all oDDt qua.ititfcs of squares. Sbebifcreete handling of tinfe, tbe in: fa fyall tying to a uiffgfent eraaneffe. Of Timber or Stone. iz Of Timber or Stone,}. 5. 10. 20. or moe fides Square,&c. The vtij.Chapter. rfeen SCfmbcr barb Diners equall £>qoflre« mtbe I bcao ,ano fo tu? ougb : firtt meafare ail tbe fqaare Gccsrouno about tbe beao 01 eno of tbcSCnm ber. SDbctt takebalfe tbe number of tlje lubole •'meafare fo; one b;cao tb- 2Dbcn mcafurc from tbe Centrc(to>bfrb is (be mfoote of tbe teao,o; eno of tbe Cimber) to tbe mtolett of tbe fquare fioe, bettoeene tbe ttoo angle*, ano take tbe mtafure or tbatbi* flame fo; tbe otber b;ea»tb- #oti> rcfojt M tb tbe meafaref of tbefe ttoo bjcaotb*, (as tofo:e) to t be Cable of &qnarei : fee hing tbe bigger n um bcr j b*ea*tb (it t b c bpper mar 3 m r , anD tbe otber letter in tbe fioe margme. ffifrtb tbe Square tbere forme, bane reconrfe to tbe Cable of &tmbcr meafare, ano ooe as 31 bane mffr nctcD. Enfample. flomft this fmall peece of Ctoiber fine fquar c,c. f. g. h. fljouU) be meafarefr,enei:p floe being 1 2.3Jncbco.3f peaooeiogetber in one fnmme all tbe fine Goes ,tbe y mafce 60 I nebes. Cbe balte (030: tbat fcruetb f 0; one bjeaot b Cbcn tbe tine e.f. tobirb soetb from tbe Centre 0} iniooeftof tbe jbquare to tbe mioole of one fioe, is 8.3n« cbe*.Oicttoo numbers 30 snDS muft be fougbt (as before) m tbe table of squares f ottotof ng, 8t tbe common meeting, pour V fquare u)a!l appeare 1 5.3itcfcef,t ;. Chi* KWS| P£ fqnare 1 j.fechc in tbe Cable of SClmbec ;Kij meafure. Cbcre pee map fee right toitb It >* 7 •tobcSjanD ;. JSoto becaufe cf \, tbe oatc quantttfe of tbe K> 2 £qnatt The Art of meafuring fcq^ireabouc i^3ncbco,iapfomctbmgleu"c. SSfcrnfee fjofo ct.cntitnrfl tbnt mcafurc (fo toi$ ctfrrction tar.cttD) b front tbc c iu ntfc of pour iLimber to tbc cti)cr: auD aifir mc fo ma* up tm.ca a footc fquacc tbcrc to be, as tbat mcafurc is fouin in iljc Icngtl; of pour Jicggc. How round and hollow TimbcrjSteeplcs, PillerSjGlobcs^&c.arc to be mcaiured.. The ix. Chapter, It ft gfrb (be 1 oggc renins about to it I) feme line: tljcn ciufoe tbc line tob.'f b compaGct b tbat ttm* ber In ttoo equal! parts : fcorpetbe one part fo; tbc bigger b;eactb. 3fter,pe dial I ctutoc agaf ne tbattobolclcngtb(tbe ttooanottocntftb part ratt atoai>)ut tbjecparf*, ano take the bait* of one of tbent fo; tbc otber narrotoer bjcaotlj. OTtb tbc meawr cs of tbcie ttoo tjeac tbs,batt to your tabte,pcrfo;imng all things aj a* fojeteopeneo. Enfamplc. feappofe tbte little priece of timber, i.k.l.m. lucre to be tncafureMbc com* paffc o; giroing 3 tf .3ncbc», tbc balfe of , tbat is 1 8. being tbc one u;eaotb : tfcen tljc tbirD part of 96J0 1 2: tbc balfe of it (0 6. tobicb is the otber narrotoer b icaotb, toitb tbefe ttoo number* tf.ano 1 s.cntcr tbc Cable of squares follotofng, ano fo tbe SCable of SDmbcr meafurc. at tbc latt(all tbmg* pcrfo;meO m before) pa (ball ftnoe tn tins rouno Hog, tbe lengtb l.m. being eigbfane Sncbeo, one f oote, an& ; part of a f oote. %\)\s is fuffiefent To; mi fqctj Ube. TimberjSceepIes^&c. 13 A note of hollowed Timber. Itfttebanretb^t boMotofo tfmbfrbcfobsmr.u'UDtttc.Ti fare tbe tohole JLoggcns tfcongbtrtucrenotljcUjUwr;* boueiflDccljrio. SHUcn mcafurc tbe itarrotocrano b:oaorc 0De of ttjc bollalo, anD fee \wbat is contamco in fl) it, na rbooobtttocrcmaffic5Df.nbrr. #3tu pull out rsi; Content of tr/romtbc tobaleabonc mcafureo: tbercmame of fo;tc mad iijcU) tobat timber fe mclabcb to tbat OoUqUjco boDp. IHm Citable fnfeloiDo:os to rrp:cffcto tbebnleanieo, bv tobat meane pp;amrtnf l,o: pfche o regular Steeples of al fafljtone ace meafarc*. fllfo ;• otu p liters, bo& tbe Content of eiobf 0: ^dU)Ic0 arc fearcbeb, bnleffc tbe Art of mim* fcfna tocre taft t-o. £bat Oeing folio tone : tOuo (as nolu fol> IttnoDltettfe How rhc craflitude ofpicked Scceplcs is knowne. Mmt i pl(c tbe plame of tbe Bafe fn tbe tofrb part of tbe 5)cigbt:fopa?b3uctbe CratntuDe. £D:multfpu> tbe Contrnt fupern'ci'al! ( founo as 3 bane inffruaebj in tbe bcfgbt of tbe ©treple, taking foj poor purpofe tlje tbiro part of t bat p;oDua. How tke Content of Pillcrs is knowne. E #creafe tbe Bafc pinmc fn tits illttfuoe o) $cujbf: fo bane pc your ocQtc. D 3 How The Art of meafur ing HowthcCubicall bodies of Globes arc fearched. % TIDc Conrcnt feuperfkiall founo, (a* 3! banc epenro) timll ic multiplied tn tl?c Ort part of tbc Diameter : t be p:oond is tbat pe require 2); tbc tbfro part of toe fuprrfecl* all Content tn balfe tbe Diameter. 2D;moltrpite tbeplatnc oft be Circle in toe tobolc Diameter :tbm take ttoo tb»ro parts, uiljierj atocD.mahe tbc Cramfuoe. Ofthehalfe Circle. HJs Superficial Content mnlfipltcD(as 31 fafD)b;ingetb tbe magnituoeof b«m.3lf an? man require enfamplc* of tbefc latt matters, oj mo:e fufficcnt bawling : tc t tbcm re* fo;t onto mv bockes publlftjcD of c»comctnc> lo!;ci c trjep (ball be fatifficc. 2Trjefc little appcrtaine to Carpenters qa a?afons : tberefo;e not by enfample occinrco. A gcnerall note. W$eti tb on (bait be put to mcafnre forne BcDp, 1 utt^ cut o j ocr d; fafijion, lacking part of bis fenuarc, o i baumgmojetban fcistf cornet ffitlac&r,tbouu)altmafceft perfect bp obferuing fiilfgcntlp tbe running fogetber of tbe fioes. Ebcparts toantinciCjtill fee meafareOj astbeugi tbe? Ujeretbcre, tobtebpojtienftmuft be fatten from tbc lobole 3©ot)femcafarcD. 0lfo toben tberc rcfulf rtb an? mo:e tban tb( fojmc o? re* gular feqnare : firft meafurc tbc fqoare JBoofe : then tbe Craffituoetebfcbabouncctb. 91! pnttQgetbcr,fcocfl)ctotbe tobolc irregular XSoOir . £bfe tofficetb. A A Table to finde the iufl: Radix or Square of any Timber or Stone. E bcl; sd::c t!) vou to knots t&af tbfs ECable fo[< losing is maDe fo; tbe erne fquarcof anp nu* ncr SLtmbcr. Sbcrefoje bnoceff nno tbat tfjc numbers from r.t0 4o.fct aboue in tbe hi:^ margfuc, betaken tbe inebes of toe b;oaocc fi'jcof tbe timber. 3nD tbe numbers from i.ano fo Solon- ion re to 3 ?. put in i be right part i banging margme of this f ab I e,fi g n Ific tbe incites of tbe narrower Boe: an o to conclude u;feflp,tbe Clement oj figure fetiti eaerpfquarc roome, bt> token the lutt fquare. Xbe bigger figures teftloarD in cuertc fnuarcptace.OgntfictbcluboU inches. 3no tbe otber leffer r^btiuaro in tbe fame fquare oiuioco bp a line tbe parts of fncnes,as }. %c. SCWs nrfr jfractfon totoaro tbe left bant befohenetb one balfcpartof an mcb: tbcotbcrttoa fiftsof an mcb,ano ene* rfe figure 02 fraction bautng a point atJi'opnco Unto bwi,fome rjealcleffetban tbat part fs:as tbfs part,; repjefenfetb fcant ba(fe an mcb, a t»crp tittle quant itic leffe. and if it ba» ttiis p: trues by bim.be fljeulo baue DectareOfooie quant (tie mo;c : as tijis other fraction 0; part,; : tobfeb is mo;e tban ttoo fiffs,aunaUoeale. It had not been needfull to hauc put the parts of the Square f» prccifely as they arc here : neither is it requifitc focurioufly to take them. n 4. \m Si ti* zf-* % tj StjuaT I 7 d QtA BVL A RA BTCV M^>0 The Table of Timber meafure, with the declaration and vie of it. Thex.Cbdpter. Tfefe Sable (as pee fee) is rjfofCcD (it* to t too Columne* o* Uo toes : the one beep u)o : t, t (j c oi bcr longer* 3 n tbc bcao of t be fit ft, 3! banc pat tbis too? a fait : in toe fee o no r o to, 3 n cbes, ano parte: to ffgntfic JFeetc, Jncljes.ano parts of fe tbes. 2Cbe fummrs tn tbc margin e an D left part of tbc full ano feconl r olumnc, Dc dare tlje quantity of Cbe fqnarc of K imbec o? stone, ftom i. to 36, 3:ncl3Cfl fqnare. frltitbintbc ro toes puii mapfinoc tbciutt lengtb to a foote fquare, If pee enter into 1 tbem in rigbt o;ocr accojoing to tbc fquaie. Example. S&ppofe tbc fquarc of poor Sttatber toere 7 . Incbes, ano tbat pec DcGreO to fcnoto tobatmeafure 01 lengtb of tberolcr tooulo malic a t'oote fquarc: feehe in tbc left margfne, fenen Jncbes : ano toitb bun in tbat joer totoaro tbc rigbt bano, pe ujal fino 2. f mte, 1 1 . Sncbes, ano J. of an 3ncb. i^otebenufc the fraction -!batb apjiehbp bun, it befoftenetb fomc fmall quantity lefle tben *. of an 3!neb. 31f ft baD i.pjtches 0} points tbus :; ft Ujulo fignf fie feme little qnantitfemojc. J^citbcr maHcfbit matter tobct ber pe obferue t bi3 pitching j no, tlie quantttfe is fo little to be aebeo 0; pulleo atoap. #ofe fobat Imtb been fpofcen of IDmbcr, ' tbe fame alio fo to be tmocrttooo of done, Uhcteifctobcmcafurco. Thus is finished the mcafuring of Timber. Now enfucih oi Boor j. *w »J 2t __T 7 -4 4 i^ Z . 33 14- g 1 2 !_$ — *&citcntctb to fire inebca, asp« map plafoclp perceiue u pc ratine Dotone bt> that 33 irgtne* SCbtsbatbbfs Cable on tberigbt floe aDiopmngtmrobtw. SCbe otber rabetb bis beginning at ffre Inrbrs , ;. ano enoetfc attlueluc,baamgbfsp:oper xaolcalD. ipje tt>irO from tu ;.toi3.3no fo from 1 8.^024: from 24. J. to 30.:^ hff ipargtnclsfrom :o. *. tu ;6.anotberc titOetfr, &ftbt* tbat fi fafo, poa map gatber ib.iteaerpSDargfne batb bis SCaMe on bis rigbt Cor. aifo pou mutt tmo\o tbat trt tbe top,ati& bencarb, 31 baur pnt (as in tbc SC able of 2Limbcr meaftire) tbefe n>o;&s,jFootc, Jncb at* pirts, to figmfie 5Fcctc,3nchc?,inD parts of an 3nrfe. ^hrnforuerpcliftto meafure i5cD:o,©!affe,o: ar.p otber fucb,uu: b the bjeaotb of I f, enter tbtc £C ablc,miv> feefec tbat b;caotb in bis p;oprt mar* guir rtljcrc pre $all finoetn rlgbtoioer botomanp jFerte, 3m b-0,0 j parts of an 3ncb,belong to a JFote fqaare.&o of* Ion as tbc meafure fs in your ttuflv, ttift as man p ifaete bane ptrm tbat iSojjb.oj fact) liftc- If tbc bicaotb ercrroe tins EablP, then OiutDc tbc b:eaCtb In par;s,anfc too:kcas (sans lb II be or chtvo. 3>a tbc in jemous appUctb ibts JEablc fo; all manner b;es;ttjs,mo tt irnaltf. Example. 4 ±\-> f_7 to T 17 2E f Z 8 ] J 2? '#2?* ( 35 4f| _rcZfflLs 1 /C « 2 >> 4-f »7.-* 47 P " tj!LP 4 E» The Art of meafuring Enfample. fenppofe 3D lane a pane of (DlafTe 02 a Bano,tobofc b:eo!q lucre 2 2.(nct)C0,;. tbclcngtb itf.foote. 3n tbc fcurdjour- 0tnc,3ifinoctblsu;caDtb>2*,aNb;.tfnD eucn teftbittntbe SCable rfirbtlM.iro, 3D fee 6. incbes, ; &o mutbof nipKalcr hunting tome fmallqnanmte.makctb a foo?e. #ott> becaafe in tbetengtbof mpboo;o(fobfeb ta itf.fof) ibat mcafurc fs f ounb 29.timcs,ano ;. parts : 3 conclube 2?. fuotc thereto bcc,anc ttuo tbirD parts of a footc Square, ac» co.iDfnrr to tbc length ano bieotb. 3 CaiD(ujantfng fomc (mall ejuantitp)becaufe of tbe point iopneo to tbfs f ran ton ;. lu btch is put to Dimlniuj tbc fraction fomc little tbing, as is Declare o plainly in tbe otber Sables before put f co; t b . HC t bat DcGretl) to mcafurc ebambcr flajes , uau emenf s, 02 fucb ttfec,lct bint oncip multipUe tbe b;eo t b toitb tbe tenrjt l;/o tbe p;o8uct u)ewetb tbe Content. Enfample. IjT tftere lucre a pauement i oo.fcot long, ano in faeofb jo. 31 mutt iteeoes coueluce(bp multiplication of tbe Zens tb in tbe b;eaotbj tbcre to becontafncD 50 ^o.foote. O r thus without Arithmetike, when the brcadih cxcccdcth the Tabic. DTufDc tbe b;cDtb in parts as is openco in tbc SDeclara* Hon of tiit table of account )nnc tooiftc as ? bauc bcfo;e uutructeu. ^ofozpauemcutsall manner toaies itfernctn pour inrnc C f tbis matter to put fo;tb Cables, lucre toper* fluoustcoioufnesano folly. Sfcc ingenious tomb tbcfc teui 3 lBillbefatifQcD. The The Carpenters Ruler. cr T he face of the Carpenters Rn- 3 ler, figured with the true £ mcafurcs,and other n things ncctflary. The xif. Chapter. 36 BCnnfc the effect of this ra* 3 3 lev is abode occlareD bp ta* 1 o hies, an tnff rumen t sifo tucil 27 nnovanc anD common among gooo artificers , 31 will not 24 fpeno Kianv IpojDs in opening It. xseljolo tbc figures 1 learne 22 bp tiir botu pe ougbt to mane, anD eommonlp to Decfte your 20 ttulcr, botfj tbitb timber anD booio mcafurc. 1? Enfample. 1 8 3om(t t!)c Unlcr to be a.b. c.d. well plainco, ttoeluc Jn> tbes long,a quarter of an Jncft 1 7 tfi'cfe.i tuio tncbes in bicactb. 2Crulp it lucre mo?e toman* Duna, if It hao tloo footc 111 16* lcitgtb.££M« ruler here .ill rcfou to pour table of timber meafurr, anofcehe footomanp fecte belong to one 3i?cb fqiurc: tberepe tyall finoe 144* &bifl num* bcr note,U);ite, 0; rafter rjraue, tibcrc (bit fi * Cure i.repjcfcnting ene Incb.fsfigorrDas pe nnpfecin tiieimDDcft bcttocene tbe Imc c.f.anbtbe line of tbe figure g.h. 2Dbt0bone,refo;tto poor table againe, anb bebolo boto manp fc etc anb parts t uoo 3ncbe fqaare rcqut' rctb. do (ball pe ftnae 36, foote, toblcb is plated fntbe nrrt roome leftward, to noer tbe Cbararter 1, Hgmf ping t too 3Jn« tbco. SLbuo tbe rett,fcete, Jncbco, anb parts, fonnb in pour table, ton till pon come to tbe xi. 3 neb, tobcre pe ft, all per* ccfuc tujclucTncbroonelpio be fet m bio pioper roctne,* c. Cbcn feche further in pour table toliat bclongctb to 1 i3t\' tecs. ILoe tennc 3lncbc0 anb .'. SCbio mud be numbjeo tn tbe line c.d. from c.vobicb tine berjkenctb tbetbtfKneffe of tbe Staler, 2paMc tberc a tittle ftnSe,bpon tbat groffenctrccuen oKigbtagatntrrbe meafnre 10. zwm nccDeimnpwojDo* JEbuodoe bntillpou come to 36. Jnchco, anb tbat to noted (as tbe table of timber mcafure tljc .m!i; rigbt toitb one Jnrb, anb '. from c p. a otbermife to performed of bono ineafurc,ao pe map bebolo fef toitb be tbe betpe of bio proper table tn tbe §quare rameo bencatb tbe line c.f. and VJo tbe otber t:j«.c ftiicffe 0; iim b.a. IV Cu&fiti of fGr trukr. 1. £/ v yf *? of Icuml. 4 - U. J J.JUI J iMiillij hi The backfire of y Ruler, with ihc quadrant Geometric all. 7 be xti/. Chapter, TfyiB other figure i.k.!.n>. is tbe baefcuce of pone S ruler, baaing in r> nuoDc ft of (Peomctricallquaoiantn.o. p.q. lubofe making in fcUl too jes fo tbus e]tp2cffcD.&t)e line o) bicactb ofpourrolec n.o. g line o.p.p.q.q n.OUgbt to be of one equal luff legtb, cutting ecb otber fqutr c imfe. 0no from tbe centre n.frito p. is tjattme anotber line, urtwb to calico tbc line of m . tjcig!)t. S)o is o.n.ttjc Imc of ■| !cucl,q.n.tbclincof beigbti jLbp;fgt)t.£i:t)f8i?noU)n3 upc j mp compsffrsone foot rental* srnm«. 3 n £ centre n:thc ctfccr ~ cKcBCDmtbeliaeofleuelal* I inoft too. making a clrcufc* u recc to q.n. toijtct) is a pa: no 1 of a circle namcD a quao:5t: ~ < ought to be oinfoco into o . cquall parts, a* yes map be* bolt) ,r ucrp of the calico a oc grce.pe map omioc tbc lines o.p.p.q.namcb tbe ®calc,ccb in n.aobcrc,o2 in tfo.pcam i ocetjuai! pojtiono is mo:e meet fa; tbe tic of fljaSotocs, bcigbto,lcngtbs,tc. #atcg tbc fibe 02 balfr £>cale o.p.tu callrt # cuntrarv fljaooto p.p rtSbtOjaDobrtte:: ebcrtbat K upon tbc tbtctmeflem k pee ought to bane t mo fine equal fyuarc figbto tocll boieD, re« p2cferrcO berc bp r. s.tnase of iiup\o? ratber mc trail to bcefaffnebthcre tobrntfme rcqutrctbtlctWofatiffie. 18 The ma* lung of a Gtooietii* cal qua- dratic. Note thefe ihiec prin- cipal lines. The diui- dc J fides o. p. and p.q. 3.-;. railed the Scale* The Carpenters Rules. The eight Chap lhcwcth how the ttuc fquare is found. The common vfe of the Carpenters Ruler, touching the Face afore put tborth. 7ft/ xiiu.Cbtpttr. tiJppofeapccce of timber to be moat en, tobofe | truefqufirefo y.Jncljcs, tbf« fquare appointed pou to tt)c figure of 7. m toe line g. h. bn&er touctn r irjbttoaro in toe place affigneo to tZim* ber meafurr,fs tu;ittcn 2.f©te,i 1. mctje^, ;. £0 often 30 tbat rmafure tsfonno mtbelcngtbof pour timber, fo manp foote of timber is in t bat pceee. Another Example. Imagine pour Square to be 22. 3ncrje* : feehe fn tbe line a.c.#otc tben bolt) mucb of pour Uuler is left from that to tbe eno of poor Utile c. ano fo mucb be lo n jet b to a j? 30«&eeke tbe bicaotb topon pour Uuler, tn tbe rome o> place of b owe meafure, f fmmeofaflp befoic pour epes tbere remalnetb vurjat is to be lata out to mafcc a tuff fote of bo; . The vfe of the principall lines in the Geo- metricall Quadrant on the backfulc of the Ruler, andfirftofthcleucll line. The xv. Ch After. Cbcbcauetb pou toiohc tb:ough r^oar ffgbts q.n. placco fn tbe tJjtchncfTc 02 line k. m. a fin? thjeoanD plummet falling at Itbcrticcutof tbe Centre n. Zt tfjts plummet ano tbi'ea cbaunre piecifelp on $ lint of leuel (tobtcb is n .0 tubat* foeuer pe fee t bjougb p figbtejio (euct urn b pour crc:tf cttjer* tmfe The vfe of the Scale. 19 fo(fc the rbmg f&at pe lofcc bnfo (s not lenell, citber n:oje oj leCTe tbnn tbe befgbtoj lenell of pcnrevc :^o?c,ini;cy!um* met fall to pou tonro : letTc^f contrarie. How by the line of Leuel! to forefee whether the water of any Spring or head is poffiblc to be brought to a place appointed, and alfo to iudge the holefomncs of it. Tbt xvi. Chapter. 1 £ Ojnll goe to tbe beat; j &p2fng, ano fet pone ttuler to pour rpe (being (n fectgbt equall toftb tfeciuatcr)fo f bat tbe fine co:oe ano plummet ffall p:cufclp in toe lute of leuci »oto if though toe 0gbts pemap feeaboue tbe place, b note ano inoge tbe toater pelftble to be b;ougbt : if pour fight fall on Oer, impotable. Jt commetb commonlp to pafle, toben tbe place to tbe tehicb pe tooulo bane tetter co nocp ct> , i s of snp great Dlffance from tbe bcaMben Oillcs^Xallcps, ano fucb like tmpctirme nts, let tbe L tnc oifnall to banc bis free courfe: luberef o;c this remeDp is pjoutoeo.3t tbe beao of tbe fpjlng, pe ujall loohe tbojote tbe fights (as before) ano note a mark* mtbenertl&itl totoaro tbe place, fben goe to tbemarkefn Use manner ohferue anotber in fome bill : fo fojtb bn till b? a np of tbem pe map pcrccmc tbe place oefircD. 3nT tben pour fight running tb:ongh tbe pfnncs of pour ttuler, (tbe tb;eo eucr falling on tbe June n.o.) erceeoe tout place,tbe conuep* tng of pour toater is poffible. O t bcrlnifc not. fi otn bp tbe it>a p bJicflp pe ujall be tnff r net eB bo to pe map fonoto the bolcfomncs of mater. How good water is knowne. M lie a clcane pot,ano put mater In It : Co fet ft on tbe fire: after a little boplmg, pottue It out : If tben no filth re $ matae Thevfeofthe imme in tbe bottoms of tbepot,it map face fufcgeo tbcbolff Btcr. ©; tljufi. Let tall Drops upon mctali, 03 rattier on fgbt toitb bocte ano #ccfee,pour j?ecte lutt t oget bcr,t be one C go clofco,* o The Line of vp right Altitudes. Tmogea!foanptbfngpla*ibef)p2fgbf foben tbe tbfctaeft JL of pour Uulcr i.lts ciofelp tbereon,tbe plummet tben at Kbertlefallmgonq.n.nameotbe Line of 3>efgbte op>fgttf. #oto folloteetb t&e bfe of tbe fecalc. To fear ch out Heights by the Scale withthe aydoftsvo places. Tbexviij. Chapter. [(fcttbe2Cb;coano plummet fall to tbe one, onfbe i2.popnts:intbe otber fetation, on tbe 6. of tie rlobt ujaoolu : Double tbe ctftancc bet toceue tbe ttoo places, t be fommttic appearetb from tb at part rt tbe tt frig mcaforcD,to&fclj tgr quail in tyelgb* tolt&poar The vfe of the Scale. i o m. 2^2 tbc cmtnt\)ci2. fbe other In 8. ofricfjf (T;nr.oto : tben triple tbe Diffancr. XLbc one In 1 2. ttjcotfccr nt 6. of rfgtjt Quadruple, the fpsce. JEbe ouctn tbc 12. ihcctbrr . in 6.ot trjceonlrartcflMDohMbm the fpaec bciftcene botb the Stations tecquall toitb that pre meafnrr, curr tonocr* ffan&fng front poor cpe bptonro. <£ucn tbnt fame eommctb to pa(Tc,if in ttjc one toe Sbjco befouno noon tbc 6. of tbe contrite, in the otpcr on tbc 4. of tbe fame, 02 tbe 4. anb ? . oftbecontrartc. Snatltbefetbefoacea arecquall lottb tbe tfltituoea. &otben in measuring tbc balance betluecne tbc t too places, pre bane tbe betgbt from pour cpcbptaarD, putting to it tbe lengtb from poor figbt ootoncmaro,tbe toboleaitltooeappearctbttbettafebeingeqaall toitb poor flanotng. 3 toonlb not bane pan (gnoianr beerc bote to fenotoc lengtbowbfcbfea in betgbt not eaCe to come unto. $o)(aa brfojc) get tbe betgbt oftbetoppe,tlje 9 itltubc of tbc USafe 02 longed part of pour lengtb* feuboutt tbe leffebcigbf out of tbe mo;e,of fojre poor bcOrcb lengtb remainctb* 2); tbua: ? V^Sf** iettbeplmnmetanDtbieDfaH in tbe 12. Starke ponr place: ^f^ atc goe in toroaro tbe t bmgftbc tqjcD as it *»ao) bn till pe fee tbe *5afe of tbat lengtb: tbc w trance be tin senc tbe tluo UaODinga, is fmooubteblp tbe Lengtb. How with the Scale diredl or vp^ right heights by their (hadowes arc declared. Thexix. Cbtfter, Rlrrtc poor left floe unto r|e &onne, faffrrmg bei Beamed to pearce botbpoor Ogbtsq. r. pla- leco(a* afo;e (0 fapoe) in tbe tblcheneffe 02 line fck.m. £Zbc EbjcaD 02 piumct tfjen banging at libcrttc,oat of ttjc Center n* Ojctoctb no mcll tbe Degrees if* of Thevfeofthe of bcfgbt to be eounteb from o. as tbe putt* of tbe feealc cot : Jf pourtljjeobe foam in tbe 12. part oilme ofleuell, flja- Doiucs of alt tblngs being perpenoicular eleuateb, are t* qitall tout) tbetr booics. 3f tbe plummet mttb tbe tb;co bee percciueo, cutting tbe parts nertto tbe &gbts,tobfcb 31 name popntsof tberigbt fyaooto, tbencucrp tbfng Direct 10 moje ibenbts fijaooto,bp tbat pjopojt ion tobfeb 1 2. crceebctb tbe partfl,uii;erethctbjce toasfouno. Bit it fall in I. tbat is tbe f, r U part of t^t rigbt OjaOoto, take tbe ujaooto ttoelue times to tnahe tbe bcfgbf . Bin t too, tbat is tbe feconb part, fire times, tit tbe tbfrD,foure times : in tbe four tb, tbiee times : tntbe&ft, ttotle: a no \. of tbe Cbaooto, fntbeQrt, ttoife, in tbe fenentb once , ana ;. in tbe eigfct once, anb [ : in tbe nintb once,an D 4 : in tbe tenth once, anb , : in tbe elcucntb pe u)all tabc tbe tyaoo to once,ano 7 V- part of it . jy ht Aadow 3f tbe arte of numbjfng Uw;e bob, 3 tooulc fofllpon to ' mult iplie the lengtb of tbe ujaboto bp 1 2. anb tbepjobwt bt* nibe bp tbe parts, in tbe tobicb pe foanb tbe tb?efc Contrane flu- I3u t anb if it bee in ttjt parts of tbe contrary fl^Do to , aug* 4qp. ment tbe length of tbe njaooto toitb tbe parts Dedareo bp tbe plummet : anb tbe increafe of tribe tbem bp 1 z So cotnmerb tbe altituoealfo. £bus tbecompofitfon anb fobole appliance of tbe Car* penters ftulcr is fijc toea j tberef o:e fomc tobat (ball bee no to faio of tbe Squire. 3! am not ignojant tbaf tbe common bfe ofbfm, i$ better fc no tone tben % can toitb manp toojoc cr p:cffe, tobcrcf o:c 31 leane to tojite in tbat bebairc. $ottoitbttanDlng 31 tutll cc dare bo to ©eights anb iengtbs are taftcn, ic. matters rare an lino tone of f c to Artificers. aifu bp tables to get a true knofolebge of tbe btpbonre, anb tbatoiucrfc toates, totfb tbe belpeoftbe feqotre, as is openeoin mp general! Iprognottica; ion, aogmeuteo in tbe peercofoarno;ti55<5. What Carpenters Squire. 2i What length the fides of thy Squire ought co be^and chc dilution o t him. . Tbcxx.Cb*p!cr. IjfteeoenotfopntfcDjtb ttje cratt making of tl)i6 35nftcumcnt fo well ftnotone. &otHerfo:ctfia figure. i£nc fiocfuppofeo tiro fen from tfee mtoaro angle : ano ttje otber a toft fbote fram tbe feme. SlIk longer a. b. f ntD3rO' lyDmiocofromtl}eanglc a.-fanto b. tuto 24. equal! pjincf pall part*, ano cue- ricoftl)cmintoalctrc(lf pe ltff)cacn containing 1 o minutes, fllfo ttjc fioe cd. in ttje out toaro contrarif , plainc from toe fop c. ton* to c roiDole of a. g . Cbe $ 3 moat abla Thcvfeofthe Hortcable flgbfaplaccD ma. g. o; a parallel! from tbat line, not Unlike, ao i* ope nco of toe line of be ijj b t, In tbe take of mpttuler. How Lengths in plainc Ground arc fearched by the Carpenters or Mafons Squire. Tlttxxi.Chafter. #ae a ffaffe bfuiDco into certame portion* as re lift, in aioo.or aiooo.parr*. 3t tbe beginning of pour lengtij, upon tbe U:rp top tircctlp ttflnemg, fet tbe fnioaro 3ug!c of tbe squlre-llft tip o; pat Ootune this mtfru* incur, Un 1 1 It r ou fee tbe furtbeff part of poor longifuoe, 3! meaneUntill pour Ggbt running from tbat single, to tbe cno of pour squire, come unto tbe furtbeft parr of tbat lengtb.lEbe squire fo rental nf ng,anO tbe s ta fife not rcraoueo from brs bclgbt. (par he tobcrctbeotber cnoe of tbe squirt nert unto pou noteoupon tbe Ground, see tobat proportion tbe staffs tben bearetb to tbe part of tbe grouno, teblrb the necrett cno of tbe Squire popnteo Unto from tbe stnffc: tbe fame a; all tbe Lengtb bane to tbe quau < title uf tbe fame £taffe. Example. Thcewre is 'T'te* &taffe a. c. to tbfa figure i$ fwtauifl 6. f oofe, a no taken out of I tbe fpacea.d. 2._f oote. Conflocrmg noto tbat 6. tbe luciid 3 j.pro. lengtb of tbe staffe container!) n - .tbrt re, therefore tbe Hon' gttuoe r eCrcD,n. b. of fo:ee mutt containc tbree times tt>e staffe (UJbfcbstarTc ta6.jFcote) tbatmaaetb i8.£ste. 0a ibis fopzamcu trucbpafmil! grouno in tbe figure follotax ins : fo tbe arte tattct tj not m a greater fpace,ttMcb tbe good Speculator f he 4- pro. 6. boofce. Carpenters Squire, i% &p« ulaf o * ano Diligent iB;actffer bp any toap cannot ocntc. ^ctcppcrirnce totlletb mctbis to confcOTc, tt;at tijc Squire (0 not conttenicnt fo; anp long Dittance, bnt the 3 nftrnuicnt ©come t rfcalt \ fcobore making ano bfe pe map pcrcctue in t bo 2Drcati(eroUot0(ng)bn(c(Te pc afrcno fomcErceojETnrrct fo* pour apse, luijuij icngtb unoUmc,u)all ft aho in fcao ol pour&taffe. A Note. ISC bebooetb pou to baue a fine co jB,roaac faff in tbe bppcr part of pour & t nffc c to Ijf c b u)al I be tfeft cucn toitb tbe in < foaro eo^e of tbe £quire,ano fo ojalanc to tbe grouno,tobcrc tbe nccre enb of tbe Square from tbe & t aff c popntco ,as pa feed.c. tbe otbtr cno tben trulp Directing to t^t furtbea Dt- femct. ftnototbaftbe grounbrautt bebcrpplafncan&lcueU,0' tbertotfeerrojenfaetb. SDbas tbe tfe of tbe fequfre is bere fometobat ocdared.but moje in mp gencrall pjognottfeaffon, pea mottplcnttfullfe bercafter (€5oo fparing life; in a H5;tea 1. 1 -Uneb, ano ;. Caeb of f&tfe mutt bane in t bclr miobeft a bole, tbat tbe long ft iflfe often foote map be put tbJougb tbem,anb tbcp mouco nnbi'm at p feature bp anb botone,alluai'C0 cutting tlje ion* gcr aanc c.f fequlrctoife, anb mace to tarrp on anp ofuifion, 6 at Thcvfeof the as eceaftcn lljall be gftten : lebfcb all are caf: lip to be pr reel' ucobptbe figure foliQUJing, altbougij my race Declaration batb net crp:cu*co mp meaning. S;erc note tntbeffcao of pour fy:jt ttaocs, pee map banc o«e crofte ftaffc two fate iang.Umb currant Ggbts, To artiS* ciallp maoe,trmt altuates tbe fijo;t ftaffc u)all ran fqatre up* on tbe longer ,ano trje figbts o ittanf , as pc ltd to place tbem. Things nccdfull to bcknowne before the vfc of this Infliumcnt is opened. Tbe if. Chapter. r; 'Cfo;c J fmreate of tbts tofe, ft bebottetb to hnolu ^ tbings nccrfhilc, anDfirff tcbtcb of tbe flue little w ft\:urs g.h.i.k.l. mcntioncD In tbe making, is to be pot bpun pour long ftaffc e.f. accojoing to tbe oiffance of ttjemarfec. i^otetf pourmarbe benecrcbano, be tt length, b;eao tb, 02 H ci jbt , tbe longer g- Dotb feeme meet elf to liaue tbe r me,f f ma: c of (engtb>tbe otber h.ano fo rbc fartber 1 * ftanee, t be Gjo;tcr tbe ftaffc require tb to be, Uibtcb (bait 00 cupie tbat place. QU p;artife ftjc luctb tbls better tban manp loo; is. 3lfo n ite,tf cbanee be to goe m to \s aro pour mar tie, (as after pe fljal fee boU>) p u muft remoue tbe Qjo : t ft ant in* luarDmojenecrc to tbe eno of tbe longer e. 3f pe be compel* Icd to goe from it, t be n put it from c.t oinaro tbe eno f. 3lfo remember tobenpc are appofntce to m'eafure anpbjeaetb 0; length (as u)all be ecclaret) it beboouctb pou to ft anD ngbt lu i ib,a»D agamff tbat b;cotb : pta ana tbe longer tbe bjeDtb, j larger tbe U>f Denes 03 lengtb is, tbe better tbe tbf ng twit come to pafle. Snofoj bct'gb to tt is neceffarie 'if pc rcgaru all picnfencsj to bane tbe bctgbt llano Dfrrtflp bp. Note this that followeth to be gcnerall in all workings. YC muft liana rigbt b? to ttb pour Boofe an: netke,ponr fate 1 uft together, poor |?nrU)5 net mucb mo Ming, tbe one. eft profitable S:affe. i^ ep c clcfcD,tmD cocr martie pcnr ft anting rfgbf fa ftb etc mfoff of pourfeefr. 115c not igmwantbcrr.tbat J rail tberrfrcmcs what there of tbe little ftaues., tbe fccrp tnos tuyere rbe figbf eucr run* words m«w, nettj.anono cuTerrnec bfttoeciic tbejaitltu&eano Brfgfjf, J- "!""^ fictUicene tbe HongltuoeonD lengtfc: tbe liafitnoc t bjeaoth. }£ *' JEbe fljojt ftaues 3! name up tbe letter ftaureocucribcm. l?our epe mutt eucr be placco m tbe enD of tbe longer ttaffe e. mm lotrt) tbe other epe pe ougbt to Unnhe. Ojcfe trifles ano fucb Hue omftteo, tctfetb tbe truetb to come to patte,auD mafec men to fafpert tbe £>rouuD,tDbleb is mott certain?. How heights ftanding directly vp,are mcafured by thelnftrument. The iij. Chapter. *Y=g=oo 1 tat tbe ffaffe g. tjpon tbe longer e. f. ano meue y JrjV) btm bfs tuft lengtb from tbe beginning of tbe fr> longer c. turne tbe ens* of g. to tuaro pou,anD £jl aceo?0(ng to tbat befgbt placing pour epe (as fsfapo) eucr at tbe beginning of tbe longer e. " toftb tbe otber epe touibe. Cbcn goe bache tjnflllpc map plamelp pcrcefuctbe toerp upper part of tbat $ltttuoe, ano alfotbeSotoerenD bptbc crtreames of pour titter ftaffeg.j*oto tbe fpace of tbe mtoftlc of pourfotcto tbe bafe of tbe bcigbt is equall to ttb tbe 3 it tt uoe Or thus. £21 ben pe fljall fee nnp 0ltituDe,tobofe mcafure pe require, imagine bp eonfecture boto oftentimes tbat bcigbt is found in tbe fpaee from it unto pour trancing. SEben mouepour tpo: t rr ttaffe (ctjofen a* aboue moft conuenient) eucn as of* Un bis otanc length from tbe beginning of tbe longer c. <3 2. to&cre Thevfeofthe toljcrc ponr ere <* w«r plarta. flCbfs Done, turne tbe enif of pout little faftv.ponr epe being m c.accojDiiTg to rbtttttffbt: ItfUclP^ctbcrrcinnpfrt bn'yeertremfsaf psur fyojtcr itje b;rptop,nHDalfo rbelovoeirpartof tbcbefgijf. JCf not,moue tbe fyotfer a le ngtb furtljrr tolniro f. o: ncerct to e.au pc fee C3nfe,aiiD an pour cornea nx tales. £>j lee pom* little ttafTc remain?, as bpconiecture bee 19.10 ptif^atTJ goctoiuarooj from tbat bcfgbt ,tat til ( tje aitituOe agree luttlp toitl) tbe ec tremes of pom «>i;t ft iff;. i^!j?n nurltc tbat place im t b ti;c mioDctt of pour facte. #ompe map conclnsctbattbebcigbt is as often cental* neo in t be oiffance, tobicb is bettoccne toe mar ke ano tt, as tbe length of tbat little ttaffc is faunp remopco from tbe cuo of tbe longer, fc. Example. How Ac iaii 3f tbe ujojtffaffc be ten times bfsowne le ngtb from c. af* height it firmc tbe bcfgbt con tainco in tbat Dtttancc ten times onlp. knowne. &be aitituoe is tbus gotten, tf}oue poor $0? t Carte fro n bis late being a lengtbettbcr towaro 02 from e. as pe lift to ejoein 0; bacHe.fCbentjoefro 0; mere tjnto it (as befoje) t»n» till tbe bcrpfommf tic, anb alfo tbelotaeffpartof tbebefgbt agree umb tbe rr t remes of poor fbojter (raff:. 2Ebe fpace tbenbettearne poor marhco place anb ibis latter. Declarer!) tbeiuft betgbt. £Jf ten. lines tb;ougb tmpebimenrs, pee (ball not baue rame to gocfo farre bache 02 fa ; mar d, as tbe betgbt Aremedypro rommetbtmro, Cbis remebie is p)omDcb# tpjue tbe little ttidedfor want anfTe baff c bis tcHfltt?, anD fo dike tlno (rations (as befo :c) * s rouno tben it pe mcamre tbat of* p« r fc ai »«- flance of a.c. feeing i $. paces, pe banc toe erne befgbt of a.b. x I,Tbco * u manp . 3n tbc otber ffanoing place d. rbe fljoKer ftaffe is founo from r.ttuicebte lengtb am a batfe, tobcrcfoje 31 mutt aflnrmc tbc beigbr a.b.to be conf amcD o; fount in tbe Diftance a.d.tiDiceanDabalfe: UJbfcb lengtba.dJsapparant32.pa* icco. 3U tbi0 tbat to fpohen of ttft befgbr, map met I be tmoec» ttooD of iatUuDes 0; toioeneffe0,and lengtbs following. In Altitudes this rule is not perfect, except the eye be lcucll with the middle of the Altitude. /*■ t* lacf$, £ $* j is the Imqt of a.&* How Thcvfeofrhe How the breadth or widenes of things ^refound,and by thcm,Length or any diftancc at plea lure. The iHf.Cbtpter. j Datfocucr 31 bane fnffructeb afojc cf befgbfs, tbe fame ttnccrffanD berc of tofoenes, lengths, tc.jro; none otbertoife arc lUtitufcrso; voice* !j nctTee fearcbcD bp tbt0 Jnftramcnt.t hen bcfo:e w Declare o of bcigbtc. onciptb's crerptcD, that the fl)o:t Caffe mutt Ue contranc, tlic cnDs arrowing to trje b:caDib,reeingbptbeertrcamcsof tbe u)ojt Gaffe, tbc bene bttcrmefi parts o; enfis of tie LatttuDc, noting pour ttatl* )ns rfgbt ton b tbc mioff of pour foot. Sinn fo pcrt'o; :nc all as cofo ;c. i3no as 3! fatOjtbcreef (be pacts of tbc bclgbt foano be* rtccene pourffanoings, men tbc fame things (s iucllbfcO ticre,fo; alt manner parts of tbc b; en or l;. Example. T£)cb:raDtb In this figure follotoma; foppofco a -b. aifo tbc fir ft ftatton c. tbe nert d. jpp Defire is to hnoiu the U, iDcneffe a.b.ano tbe lengtb o; otttanrc d.b. sp atl fioto tbe cnosof tbc IctTrr ffauco are ttrrneo totbeertreames of tbe toiocncffc. SCbm bebolo bom tbe fljojt ftafifc in c.ts but once %i* lengtb remoueo from e. rabercfw (bp tbc inttrufltons of heights afoicjpc map boldlpfap, tbat tbe wlocncs a. b \t but once contafneo betmecned.anob.anD tbat raeafurc is founo i2.(co;c,as tnucb as Is tbeotber a. b. 3!n tbe ferono tfanmng d. tbe tittle ttaffe is remoueb tbjec times bis lengtb from e. f 01 tbatcaufe 31 eoncluoc ■ ano tculp) from b. to tbat iratt'oii tb jot times tbe b:eat> :b,tt)bf cb b;eabt b Is 1 2.fco;e.&o bp tbr toi&cncs 31 banc foanb tbc lengtb of b. d. <6.ftoje, mp 5f 0rc Xbus ace JUtltncc* founo,anb bp tbem L engtns, k. Behold profitable Stafie, zo Behold the figure. Yc muft alway (land diredUy againft the middle of>he Breadth. 12 Sco Kj> OT,enfocuc«- an, 1 mfiaircefjei put, tobofc certain? '*n$fb r * require meafnr*; (tip tbe art crp?c(TeD) either tbe bffgbt oi a,ip tbtner r&m f euno* o; tbe b:eabib, ana fee bom often* turr 3 t f ;at toifrijnetre o; lengtb 10 contafneo Unto poor ffaft* King : febPb unotone, (be length cannot beebtMJ isoe» etarra, N& to to f e to too:o* to eondobe, re map bp tbia 3fnffrn< a nore larger mem nuafarc tbe nittance of poufe0,&tee|)!f0,2Cree0, *f*<*&* im* iv' icngtb of fl£iailc0, tbe b;caotb of Ditrbea, Jangcs its " l ■lo.bt, ciib fudrlike* Sbe gooo totttfe Carpenter tt.momg fti a place, tub ere bee map plat nip freatobolebeufe, 0; anp manner frame tout* great pleafare,map bp tbia get fpetotlte tbe true p;opo:tf on of tbat bonfe, tubieb be onrjbt to note 1 11 a STablc, and toben time commetb (not to tt bout bt* great p?aife)map mahc,reari anc fet bp tbe line. JEtjta I taHc to be fufficient fo j tbtfe £ ra it fine*. ibt* liniment. v°Vu'. .Loo Thevfeofthe,&c, £ T#«; "-3*finac eometr(* S!°nia!» '*" * p, l "** Pi *fe profitable fa to , to Irt "f.jlgU « «OD0e, tbe found. -/.t^i^iji^^carcb.^jifttjeOittanccbfiiong^cpaffcoutjO) Adfe* fofiip meate fine o» mot jacarcbea at ttr: mo e; gcno i » i nr I" ^gtb,tbe r i treamc* noteD toit b tVoo toiKblc marfc#> gfeea goe from tbencMriO feefte tbe length bp tbat terrains ttnermfre, a0 is oerlaf -? : fo ftjall pe* not fade to bjing ucrie trne lann. #oterUi -•. Utile errojfonno on tbe b;eat)tb, oft tjin!t!p!t(?o,cncrcafctt) to a great, pca,f o an intolerable fault • In tbe leng^f terefoze tbe bzea&tb o* toioenefle *ugbt trulp ye fcarcbeb. ISZbtB 3 tabe fuffu f en: to; tbefe Craft fmen. 3 Hwulo oe Ore tobcrc mp groCTc tojf f (ngo fecme to be ob» ■tore, tbat 3 Uiere p;efc n? tbe inCrnder : fo; trttl( a Ifoelp iwpce of a meane fpecntaco? fometoSjit pjadtfcD,fartberetb tennefolo mo;c in mp faogctnenf, t ban tbe finefttojf fer. i aretocll. Accept mp gcoo fc) UI,ano Imiu tfio jt: n ('it <0oo fpare Ufr > fo; a profitable enrreal i of iQcfemafier? FINIS. rQ 6. 1 6t£ a P*P a . ;? A siq "3 uaqi r &!*!F'J P°* ^^rop'n -o.Tj33.M"Mia '""M 3 ' U que>qgno.iqj ji jo guiA3a«3 0U3 jjam '3j. ui uuq 0-tJ?|ip Attn HU0UM Suiptjaqi U ;I3 -de Avje 03U1 qpuu • ieqi jom q wyo Miq«nm]iut Mutmy ' J3 r. n i 3 H 13< 1 IjrvA sipttAW sq3*ij4< Mi° Ul P un< l -it:o.-> jo V *^.«J Xjsns jnoiuo? op :u jtpjoouoouiojui sEstu.i^Bsq 3d *tii3i oj ueu; ej ; \o ^ofjrj B 31 q si 3u uw!.v.jv 'anus a 10 h{i\ ujip j3JC3jb jo jracoi c Suigsna Xq u q3 'i< uoq wotiiajtipnil n«q.i-?q r 33B*8«n3 -Jt.ip ,c?oj qi|M 3CU Jnq'pDt.iq^B trojt. q4Uj *i3ncn3ni£p..-«p3idui»i UMUOfljQ -\ T ^ 3l)tdut03 ?n|tmptvi aqii se '(Wtbv q ni uii v\ p tijati -S pue 'wt^ji tI3dx3 XjEUipjOt !3X3 3jOJ aq i Mip -ipE po«'S put jnouoq .104 Sui; Vf -ijddj pUE'SuipUO Jj IOJ 3.1B S3q^ Q[ •uonEJntfcj siq j03no q?mri 6j si jt 'ajnEDpooS But 3011 33q 11 41 3>AptlB '.U>413[ Siq SEUOtwJ 3E3a2e 03 jpnb?.' e 3ijE3 ol 3qSaoq3 si Stuqj -o jsj : ji 3 ( |Ojj o33*jtt3 b q3iq * 3joq3 jo j^ad p 1 1 'i 3 iq'it 3unc 1?, p[no-|j 3Bqj u oyiod sqijo ica.cf p3 ui Xpuo j a Xej ] 3uiuiX3 ([E t)ic perfons pictcrrrd, rr»( rethankire of- 6cious, b cauc ail isoffauour. Itis good not to make too much «»f any man ai firtt becauie nie cantot hoi J out that propo tv n Tbb oou incd by owe is not good c£ ijobedifi ac- ted va ith mtnv >s ^o le: but to uk- adiiife oftiicnds is euv-r honr>r | For locker; qft tnamjiv:, '*^* ' * 1 lj dcinoryip A*ui 3jjonpj«AA joj ut 3?q oj uisqj otrpXoA joj 'Suuntiqo jo ITB3UI J*3j9 t ST S3MJ III X33.03S " 3:)u "' -i ?juod jo 3ut;a\ sijo3.i3qj 3qoU 3qjjo iinuouSt 3q 01 st p.v\ s?. f Xjoiiduiii si ajnjsjoDiqtA sqijo jutjouS. sqoi^ •aaousqijo iqjteuou 3q3£st;utnpfc _'iutq Xq wq p«q ussqsnrq atiAWDtpo yj\i pjno3 J3jtai sqijo .?3U35qp:ui ji rrqi'ljnaj siqjo pcq oq o:i oi ttiSno Suiuicp jj.uj 3

ut care whatbecoc of V futc.whcn that turn is fcrucd Nay • vndc^-'lf e futes with a ful pur- .4*1.- tU- 1 — Sj3UJJ f J 3JE StqDP] < S33p?3{3t3j5^ -]*{} snti(j_ 3JC mu 3ij i ( tuaqi j re a 3m se) sf/uvcijtfii-tf jiaiji 'sajitijcjiaqi jo l4'o:3v\y3 J t3jS3i|3^2iEv , yipop S3: Ubd iuoi| v* uodA 3joqa *iuhjvjh3 jthnMrj gjq aitfcagaiqudi jouoq jo S33J§JQ *3nt j A3UJ U13J3qM pOoS S3UU3 3qj3TTBuj pue *X|yni 3Uoiw .p-.q v. 'ruajjjujpjxn aaejd |)B| aqj ui pu\ sJ3!)Bnui juieSe 33t*3i3p ajq ~°N 3 1^nno '>3po:ui33ai3qioSjBj -uj sju a ^qtJotioq ui se qom'/uW«» qxtnoj aqiuj •simifl josjsSutJyjo apmimsj iuojj5.jmuno Hoq)iipQ -3p jc'sjem pnpjo sjuar.'Ji §uo[ sip apunedtuo? seq">nj ' tiJtotru3(ft r j ait 33tjd piiqj 3qi Kl'OUOo 3Jt A. qi J31 -j? SJ^UEUip.'OJiaqj A'quJsnoS A3q; 3jnt^3q 'fJdixaud tnuia^ \o Sj3p -lirtOJ ptlODJj p3[Jt3 0]|B3Jt q3tqM «SJ3n! < ?-Ml!'J t S9M>Wlf>ii'J 3J« 3D«|d sp'io33| sqjuj 'Ssjeyjosjapunoj 'vjotfpiaj 3Je 3ie|ii yjy 3tp u]/3j3qa 'uotmniiAjfuv Offitiion. Linitcnantes, anddo v them notable fcruices in the warrcs. The third ajc Gr4/A»//,iauorites/«ch as exceed not this Icantlingtobefolaceio the So- ueraigne.and harmlcs to the people. And the fourth Negotijs pares ,fuch as haue great placevndcr Fiinces, and elecutc their places with fuftSciency ofl'atfian. • Anv h*o» ^\c wiK \ '*£ •^.Z#2 i