B i 2 j 91 8 i 2 m 72 USEFUL UMBER TABLES BOARD FOOT AND PRICE I For INDUSTRIAL ART INSTRUCTORS LUMBERMEN, MILLMEN. CARPENTERS AND CABINET MAKERS. ANSWERS TO 20,736 PROBLEMS BY L. H. ALBERTY. ORDEr. ' L. H. AI ^ WINFIELD, Iv;.ir:iAa ^ Postpaid ^1,00. 3 m tnor« cosK«a iQ^ 9iit 72 HANDY LUMBER TABLES Price $1.00 Second Edition Copyright 1915 By L. H. ALBERTY PREFACE These tables have been published in view of the fact that a rapid and accurate way of figuring pricey on wood bills, particularly in manual training work is needed. On the following pages may be found the answers to 20,736 problems from the very smallest pieces up to a 1"X16", 12' long and at any priced lumber up to and including 20(' per board foot. The first four tables give answers in board feet. The rest of them give the price of the piece of wood looked up. If the price of the piece of wood used is 6(^ then look up the size of the piece in the G?* table and by running down the vertical column and across on the horizontal to their intersection the price will be found in dollars and cents. At the top of each table may be found the widths in inches, as 1"X6", 1"X8", etc. The column on the left hand side shows the lengths in feet and inches and that on the right in inches only. Either may be used. Greater widths and lengths may be found by look- ing up the piece in two sections. Grouping smaller pieces as, for example, 5 pieces 1"X2"X14" into 1 piece 1"X10"X14" makes the vrork easier. Higher prices if odd, as 35(* may be obtained by adding together prices from two tables as 17(* and IS^*. If even as 24^ by doubling 12<* price. For 2" lumber the price may be doubled or twice the width looked up. For a 2"X4" look up a 1"X8". For a 3"X3" look up a 1"X9". For a 4"X4" find 1"X16". For IVs" or 114" lumber look up the price of 1" lumber and add to it % that amount. For 1%" or l^/^" lum- ber find price of 1" lumber and add ^/^ that amount. The price of 3(* lumber may be found by using 6<^ table and dividing the result. Half cent lumber, as 8V^(* may be found by looking up 17(* and dividing. Manual Instructors must necessarily charge 1(* or 2<* more than purchase price of lumber in order to break even on account of waste by selling in small pieces. On the last page of the book may be found a list of the various woods and spaces after them which may be filled out with the present price of the wood in your locality. The board foot tables was worked out to five decimal places and from it the others obtained. In the printed B. F. table on the following pages, how- ever, all places were dropped except the hundredths. If the thousandths place was more than 5 it was carried over to the hundredths; if less than 5, it was dropped. In the price tables if the mills place was more than 5 it was carried over to the cents place and if less than 5 it was dropped, the nearest cent being used. L. H. ALBERTY. ORDER FROM L; H. ALBZr.TY WTNFIELD, Ky^r-TAG J .96 1.92 2.38 3.83 4.79 5.75 6,71 7.67 J .•97 1.94 2.82 3.89 4.86 5.83 6.81 7.78 ) .99 1.97 2.96 3.94 4.93 5.92 6.90 7.89 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 BF 8 10 11 12 J 1X9 1X10 1X1 1 1X12 1X13 1X14 1X15 1X16 2 4.63 5.14 5.66 6.17 6.63 7.19 7.71 8.22 4 4.75 5.23 5.31 6.33 6.86 7.39 7.92 3.44 6 4. S3 5.42 5.96 6.50 7.04 7.58 3.13 3.67 8 5.0O 5.56 6.11 6.67 7.22 7.73 8.33 3.39 10 5.13 5.69 6.26 6.33 7.40 7.97 3.54 9.11 f 5.25 5.83 6.42 7.30 7.53 3.17 3.75 9.33 2 5.38 5.97 6.57 7.17 7.76 3.36 8.96 7,56 4 5.50 6.11 6.72 7.33 7.94 3.56 9.17 9.73 6 5.63 6.25 6.88 7.50 3.13 3.75 9.33 10.0 1 8 5.75 6.39 7.03 7.67 3.31 3.94 9.53 10.2 2 JO 5.88 6.53 7.13 7.33 3.49 9.14 9.79 1 3.44 { f^.QQ 6.67 7.33 3.00 3.67 9.33 10.00 13.67 ^2 6.13 6.31 7.49 3.17 3.85 9.53 10.21 10.5^ 4 6.25 6.94 7.64 3.33 9.03 9.72 10.42 11.11 6 6.38 7.08 7.79 3.50 9.21 9.92 10.63 1 1 .33 8 6.50 7.22 7.94 3.67 9.39 10.1 1 10.83 11 .56 10 6.63 7.36 8.10 3.33 9.57 10.31 1 1 .04 11.73 6.75 7.50 8.25 9.00 9.75 10.50 11.25 12.03 1 6188 7.64 8.40 9:i7 9193 13.69 11.46 15.22 7.00 7.78 8.56 9.33 n.11 10.89 1 1 .67 12.44 6 7;i3 7.92 8.71 9.50 TO. 29 11.03 11.33 12.67 8 7.25 8.06 8.86 9.67 10.47 11.28 12.03 12.39 J^ 7.38 8.19 9.01 9.33 10,65 1 1 .47 12.29 13.11 1 7.50 8.33 9.17 10.00 n.33 11.67 12. 5D 13.33 2 7.63 8.47 9.32 10.17 11.01 11.36 12.71 13.56 4 7.75 8.61 9.47 10.33 11.19 12.06 12.92 13.73 6 7.88 8.75 9.63 10.50 11.33 12.25 13.13 14.00 8 8.00 8.39 9.73 10.67 11.56 12.44 13.33 14.22 10 8.13 9.03 9.93 10.83 1 1 .74 12.64 13.54 14.44 8.25 9.17 10.08 11.00 11.92 12.33 13.75 14.67 2 8.33 9.31 10.24 11.17 12.10 13.03 13.96 14.89 4 8.50 9.44 10.39 11.33 12.23 13.22 14.17 15.11 6 8.63 9.58 n.54 1 1 .50 i:>.46 13.42 14.33 15.33 8 8.75 9.72 10.69 11.67 12.64 13.61 14.53 15.56 10 l-JE 9.86 10.85 1 1 .33 12.32 13.31 14.79 15.73 > 10.0-0 11 .00 12.00 13.00 14.00 15.00 16.03 1X1 1X2 1X3 1X4 1X5 1X6 1X7 1X8 "■" .00 .33 .33 .00 .30 .00 .00 .00 2 .00 .00 .00 .00 .01 .01 .01 .01 4 .00 .00 .01 .01 .01 .01 .01 .or 6 .00 .01 .01 .01 .01 .01 .02 .02 8 .00 .01 .31 .01 .01 .02 .02 .52 10 «jo .31 .01 .01 .02 .02 .0? .03 12 ^15d .01 .31 .02 .02 .02 .03 .03 14 .00- .01 .01 .02 .02 .03 .03 .04 16 .01 .01 .02 .02 .03 .03 .04 .04 18 .01 .31 .02 .02 .03 *03 .04 .04 20 .01 .01 .32 .03 .03 .04 .04 .05 22 .01 .31 .02 .03 .03 .04 .05 .05 2A .01 .31 .32 133 .34 .04. .05 .06 26 .01 .02 .02 .03 .34 .05 .05 .06 28 .01 .02 .03 .03 .04 .05 .06 .07 30 .01 .02 .03 .04 .34 .05 .06 .07 32 .31 .02 .03 .04 .05 .06 .07 .03 34 .01 .02. .03 .04 .05 .06 ..07 il^ 36 .01 .iJ .35 .34 :o5 .06 .07 .08 33 .01 .02 .03 .05 .06 .07 .08 .09 40 .01 .02 .34 .05 .06 .07 .08 .09 42 .01 .02 .04 .05 .06 .07 .09 .10 44 .01 .03 .04 .35 .06 .03 .09 .10 46 .01 .03 .04 .35 •'^T .08 .09 .11 4^ .01 .03 .04 .3^ ,31 .33 .10 .11 50 .01 .03 .04 .36 .07 .09 .10 .12 52 .02 .03 .05 .06 .08 .09 .1 T .12 54 .02 .03 .05 .36 .08 .09 .11 .12 56 ,02 .03 .35 .07 .08 .10 .11 .13 58 .02 ,03 .05 .07 .03 .10 .12 il^i il !02 ,03 .37 .09 .10 .12 .14 62 .02 .04 !05 .37 .09 .1 1 .12 .14 64 .02 .04 .06 .07 .09 .11 .13 .15 66 .02 .04 .06 .08 .09 .11 .13 .15 63 .02 .04 .06 .08 .10 .12 .14 .16 70 .02 .04 .06 .33 .10 .12 .14 .16 72 1X9 1/JO ix^ : 1 X ' y .' X 1 '-i IXl-i 1X15 _1.X 1 '"> ..';i .01 .01 .01 .01 .01 .01 .01 2 .01 .01 .01 .")i .01 .02 .02 .02 4 .02 .02 «02 .02 .02 .02 .03 .03 6 .02 .02 .02 .03 .03 .03 .03 .04 8 .03 .03 .03 .03 .04 .04 .04 .04 10 .03 •?3 .04 .04 .04 .05 12 .04 J.)A .04 .0=^ .05 .05 .06 .06 14 .04 .04 .05 .05 .06 .06 .07 .07 16 .05 .05 .06 .06 .07 .07 .08 .08 18 .05 .06 .06 .07 .07 .08 .08 .09 20 .06 .06 .07 .07 .08 .09 .09 .10 22 .06 .07 .07 .08 .09 .09 .10 . 1 1 24 .07 .07 .08 .09 .09 .10 .1 1 .12 26 .07 .08 .08 .09 .10 .11 .12 .12 28 .08 .08 .09 .10 .11 .12 .13 .13 30 .08 .09 .10 .11 .12 .12 .13 .14 32 .09 .09 .10 .11 .12 .13 .14 .15 34 .09 .10 .1 1 . 1 2 .13 .14 .15 .16 36 .10 .1 1 .12 .1 3 .14 .15 .16 .1-; 33 .10 .11 .12 .13 .14 .16 .17 .18 40 .11 .12 .13 .14 .15 .16 .18 .19 42 .11 .12 .13 .15 .16 .17 .18 .20 44 .12 .13 .14 .15 .17 .13 .19 .20 46 .12 .13 .15 .16 i17 il"^ ,20 .21 48 .13 .14 .15 .17 .18 .19 .21 .22 50 .13 .14 .16 .17 .19 .20 .22 .23 52 .14 .15 .17 .18 .20 .21 .23 .24 54 .14 .16 .17 .19 .20 .22 .23 .25 56 .15 .16 .18 .19 .21 .23 .24 .26 58 .IS .17 ,18 .20 .22 .23 .25 .2^ ".^ .16 .17 .19 .21 .22 ^27 .54 ,'y^ ^ .16 .18 .19 .21 .23 .25 .27 .23 64 .17 .18 .20 .22 .24 .26 .28 .29 66 .17 .19 .21 .23 .25 .26 .28 .30 68 .18 .19 .21 .23 .25 .27 .29 .31 70 .18 .20 .22 .24 .26 .28 .30 .32 72 1X1 1X2 1X3 1X4 1X5 1X6 1X7 1X3 .J2 ^04 .06 .08 .10 .12 .14 .16 .02 .04 .06 .09 .11 .13 .15 .17 .32 .04 .07 .^9 .1 1 .13 .15 .17 .02 .04 .07 .09 .1 1 .13 .16 .18 .02 .05 .07 .09 .1 1 .14 .16 .18 .02 .05 .07 .09 .12 .14 .16 .19 ^:o2 .05 .07 .10 .12 .14 .17 .'19 .02 .05 .07 .10 .12 .15 .17 .20 .03 .05 .08 .10 .13 .15 .18 .20 .03 .05 .08 .10 .13 .15 .18 .20 .03 .05 .08 .1 1 .13 .16 .18 .21 .03 .05 .03 .11 .13 .16 .10 .21 .03 .05 .03 .11 .14 .16 .1^ .22 .03 .06 .08 .11 .14 .17 .19 .22 .03 .06 .09 .11 .14 .17 .20 .23 .03 .06 .09 .12 .14 .17 .20 .23 .03 .06 .09 .^2 .15 .18 ..21 .24 .03 .06 .09 .12 .15 .13 t21 .24 .03 .06 :o9 .12 .24 .03 .06 .09 .13 !l6 !l9 .'22 .25 .03 .06 .10 .13 .16 .19 .22 .25 .03 .06 .10 .13 .16 .19 .23 .26 .03 .07 .10 .13 .16 .20 .23 .26 .03 .07 .10 . 13 .17 .20 .23 .27 .03 .07 .10 .14 .17 .20 .24 .27 .03 .07 .10 .14 .17 .21 .24 .23 .04 .07 .1 1 .14 . 13 .21 .25 .28 • 04 .07 .1 1 .14 .13 .21 .25 .28 .CW .07 .1 1 .15 .13 .22 .25 .29 .04 .0 7 .1 1 .15 .18 . 22 .26 .29 .04 .07 .11 .15 .19 . 22 .30 .04 .08 .11 .15 .19 .23 .26 .30 .04 .03 .12 .15 .19 .23 .27 .31 .04 .08 .12 .16 .19 .23 .27 .31 .04 .08 .12 .16 .20 .24 .28 .32 .04 .03 .12 .16 .20 .24 .23 .32 10 4 6 8 1 7 4 6 8 ai^ 2 4 6 8 10 4 6 8 ^0 10 11 12 1X9 1X10 r^i L 1X12 1X13 1X14 1X\5 ^y^l^ .19 .21 .23 .2d -T2T ^79 .31 .3j .19 .21 .23 .25 .27 .30 .32 .34 .20 .22 .24 .26 .28 .30 .33 .35 .2 .22 .24 .27 .29 .31 .33 .36 ,2^ .23 .25 .27 .30 .32 .34 .36 .21 .23 .26 .28 .30 .3J. .35 .37 122 .24 :26 .29 !33 .36 ^33 .22 .24 .27 .29 !32 .34 .37 .39 .23 .25 .28 .30 .33 .35 .38 .40 .23 .26 .28 .31 .33 .36 .33 .41 .24 .26 .29 .31 .34 .37 .39 .42 .24 .77 .29 f32. t35 .37 .40 .43 .25 .27 ,3) .33 .35 .38 .41 .44 .25 .28 .30 .33 .36 .39 .42 .44 .26 .28 .31 .34 .37 .40 .43 .45 .26 .29 .32 .35 .38 .40 .43 .46 .27 .29 .32 .35 .38 .41 .44 .47 .27 .30 .33 . 36 .39 .42 .45 .48 .28 .31 .34 "TTf .4 ) .43 .46 .49 .28 .31 .34 .37 .40 .44 .47 .50 .29 .32 .35 .38 .41 .44 .43 .51 .29 .32 .35 .39 .42 .45 .48 .52 .30 .33 .36 .39 .43 .46 .49 .52 .?0 -3^ -37 .40 .43 .47 »^9 '"pH :i\ :U 137 ,41 ^TT- ^TT .51 .54 .31 .34 .38 .41 .45 .48 .52 .55 .32 .35 .39 .42 .46 .49 .53 .56 .32 .36 .39 .43 .46 .50 .53 .57 .33 .36 .40 .43 .47 .51 .54 .58 ,33, .37 .43 .44 .48 •51J .55 .59 .34 . 37 .41 .45 .43 .d2 ^^ .34 .38 .41 .45 .49 .53 .57 '.60 .35 .38 .42 .46 .50 .54 .53 .61 .35 .39 .43 .47 .51 .54 .58 .62 .36 .39 .43 .47 .51 .55 .59 .63 .36 .40 .44 .48 .52 .56 .60 .64 11 1Y1 1\'7 1Y? y5 .07 .09 .11 .13 .14 52 .02 .04 .06 .08 .09 .11 .13 .15 54 .02 .04 .06 .08 .10 .12 .14 .16 56 .02 .04 .06 .08 .10 .12 .14 .16 58 .02 .04 iQ^ ,08 ,10 .13 iH t]7 42- .02 .-04- .06 .69 .11 ^1J .1^ .i7 ^ .02 .05 .07 .09 .11 .13 .15 .18 64 .02 .05 .07 .09 .11 .14 .16 .18 66 .02 .05 .07 .10 .12 .14 .16 .19 68 ,02 .05 .07 .10 .12 .15 .17 .19 70 .:)^ .05 .08 .10 .13 .15 '.18 .20 72 12 R r/Q ]7]n 1X11 1712 1X13 1X14 1Z15 IXI-S .01 .01 .01 .01 .31 .01 .01 .01 9 .01 .01 .02 .02 .02 .02 .02 .02 4 .02 .02 .02 .03 .33 .03 .03 .03 6 .03 .03 .03 .03 .04 .04 .04 .34 8 .03 .03 .04 .34 .05 .05 .05 .05 10 .04 .04 .35 .05 .05 .06 .36 fV 12. .04 .35 .05 .06 .06 .37 .37 .08 14 .35 .06 .06 .07 .07 .38 .38 .09 16 ,06 .06 .07 .08 .38 .39 .09 .10 18 .06 .07 .03 .08 .09 .10 .10 .1 1 20 .07 .38 .08 .09 .10 .11 ..11 .12 22 .08 .38 .09 .10 .11 .12 .13 .13 2± .38 .39 .10 .1 1 .12 .13 .14 .14 26 .09 .10 .1 1 .12 .13 .14 .15 .16 28 .09 .10 .1 1 .13 .14 .15 .16 .17 30 .10 .11 .12 .13 .14 .16 .17 .18 32 .1 1 .12 .13 .14 .15 .17 .'18 .19 34 .1 1 .13 .14 .15 .16 .18 .19 .?3 36 :i2 .13 .15 .16 .17 .18 .20 .21 38 .13 .14 .15 .17 .18 .19 .21 .22 43 .13 .15 .16 .18 .19 .20 .22 .23 42 .14 .15 .17 .18 .20. .21 .23 .24 44 .14 .16 .13 .19 .21 .22 .24 .26 46 .15 .17 .18 .23 .22 • ?^ .25 .27 A± :i6 .17 .19 .21 .22 .24 .26 .28 53 .16 .18 .20 .22 .23 .25 .27 .29 52 .17 .19 .21 .23 .24 .26 .28 .30 54 • 18 .19 .21 .23 .25 .27 ..29 .31 56 .18 .20 .22 .24 .26 .28 .30 .32 58 .19 .2 1 .23 .25 .27 .29 .31 .13 ^2. . 19 .22 .24 .2^ .28 .30 :32 .34 62 .20 .22 .24 .27 .29 .31 .33 .36 64 .21 .23 .25 .28 .30 .32 .34 .37 66 .21 .24 .26 .28 .31 .33 .35 .33 68 .22 .24 .27 .29 .32 .34 .36 .39 70 .23 .25 .28 .33 .32 .35 .38 .40 72 la w IK? 1X3 1X4 ]7i'^ 1X6 1X7 1X8 .03 .05 .^8 .10 .13 .15 .18 .21 .03 .05 .>8 .1 1 .1.3 .16 .13 .21 .03 .05 .08 .11 ..13 .16 .19 .22 ■ .03 .05 .08 .11 .14 .17 .19 .22 .03 .06 .09 .11 .14 .17 .20 .23 .03 lO^ t09 .12 .15 .17 .?o . 23 .06 .39 .18 .24 ',03 .06 .09 !i2 !l5 .18 !21 .24 .03 .06 .09 .12 ..15 .19 .22 .25 .03 .06 .09 .13 .16 .19 .22 .26 .03 .07 .10 .13 .16 .19 .23 .26 .03 t07 .10 _.n iL6 .20 .23 .27 :o3 l07 :io .14 lir 120 !24 hi .03 .07 .10 .14 .17 .21 .24 i^-28 .04 .07 .11 .14 .18 .21 .25 .28 .04 .07 .11 .14 .18 .22 .25 .29 ,04 .07 .1 1 .15 .18 .22 .26 .29 .04 .08 .1 1 .15 .19 .22 .26 .30 .04 .03 .1 1 .15 .19 .23 .27 .31 .04 .08 .12 .16 .19 .23 .27 .31 .04 .08 .12 .16 .20 .24 .23 .32 .04 .08 .12 .16 .2D .24 .28 .32 .04 .08 .12 .16 .20 .25 .29 .33 .04 t08 »1? »17 .?5 P?9 .33 .04 .09 .13 .17 .21 .25 .30 ^14 .04 .09 .13 .17 .21 .26 .30 .34 .04 .09 .13 .18 .22 .26 .31 .35 .04 .09 .13 .18 • 22 .27 .31 .36 .05 .09 .14 .18 .23 .27 .32 .36 ,05 t^? M5 ,18 .23 .28 _^32 .37 .05 .09 .14 .19 .23 .28 .33 .37 .05 .10 .14 .19 .24 .28 .33 .33 .05 .10 .14 .19 .24 .29 .34 .33 .05 .10 .15 .20 " .24 .29 .34 .39 .05 • 10 .15 ;20 .25 .30 .35 .39 .05 .10 .15 .20 .25 .30 .35 .40 14 8 10 11 12 1X9 1X1 'J ixn 1X12 1^13 1X14 ix;5 ix: 6 .h .26 A& .5^ .^5 .26 .j'5 .4! .24 .26 .29 .32 .34 .37 .40 ,42 .24 .27 .30 .33 .35 .38 .41 .43 .25 .28 .31 .33 .36 .39 .42 .44 .26 .28 .31 .34 .37 .40 .43 .46 .26 .29 .32 .35 .38 .41 .44 .47 .27 .3D .33 .36 . 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.04 .04 H .o\ .01 lo^ l02 !o5 .64 .64 .05 tt .01 .01 .02 .03 .03 .04 .05 .05 16 .01 .02 .02 .03 .04 .05 .05 .06 18 .01 .02 .03 .03 .04 .05 .06 .07 20 .01 .02 «03 .04 .05 .06 .06 .07 22 •91 .02 .03 .04 .05 .06 .07 ,08 2± .61 .6^ .03 .04 ~05^ .07 .08 .0^ 26 .01 .02 .04 .05 .06 .07 .08 .09 28 .01 ♦ 03 .04 .05 .06 .08 .09 .10 30 .01 .03 .04 .05 .07 .08 .09 .11 32 .01 .03 .04 .06 .07 .09 .10 .11 34 .02 .03 ,05 .06 ,08 .09 .11 .12 36 l02 .03 :o5 .06 .08 .10 .11 .13 38 .02 .03 .05 .07 .08 .10 .12 .13 40 .02 .04 .05 .07 .09 .11 .12 .14 42 .02 .04 .06 .07 .09 .11 .13 .15 44 .02 .04 .06 .08 .10 .12 .13 .15 46 .Q? .Q4 .06 .08 .10 .12 .14 ,16 43 .02 .04 .06 .08 .10 .15 .17 50 .02 .04 .07 .09 .11 .13 .15 .17 52 .02 .05 .07 .09 .11 .14 .16 .18 54 .02 .05 .07 .09 .12 .14 .16 .19 56 .02 .05 .07 .10 .12 .15 .17 .19 58 .03 .05 .08 .10 ,13 ,15 ,18 •?? 60 ^03 .0^ :o8 !io .13 .16 :\^ I^f 621 .03 .05 .08 .11 .13 .16 .19 .21 64 .03 .06 .08 .11 .14 .17 .19 .22 66 .03 .06 .09 .11 .14 .17 ,20 .23 68 .03 .06 ,09 .12 .15 .18 .20 .23 70 .03 .06 .09 .12 .15 .18 .21 .24 72 16 1X9 IXTO 1X11 1X12 1X13 1XM 1X15 1X16 .01 .01 .01 .01 .01 .'J! .01 .01 2 .02 .02 .02 .02 .02 .02 .03 .03 4 .02 .03 .03 .03 .03 .04 .04 .04 6 .03 .03 .04 .04 .04 .05 .05 .05 8 .04 .04 .05 .05 .05 .06 .06 .07 10 .05 .05 .06 .06 .07 .07 .03 ,08 12. -t05 .Oo .06 .07 .0^ .0^ :o9 .09 14 .06 .07 .07 .08 .09 .09 .10 . 1 1 16 .07 • 08 .08 .09 .10 .11 .11 .12 18 • 08 .08 .09 .10 .1 1 .12 .13 .13 20 .08 .09 .10 .1 1 .12 .13 . 14 .1 4 22 •v'? 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^ ^OT !o5 ;o6 ,6s .Tu . 1 1 . 13 Sr .02 .04 .05 .07 .09 .11 .12 .14 23 .02 .04 .06 .07 .09 .11 .13 .15 30 .02 .04 .06 .08 .10 .12 .14 .16 32 .02 .04 .06 .08 .11 .13 .15 .17 34 • 02 .05 .07 .09 . 1 1 .14 .16 .18 36 .02 .05 .07 .09 .12 .14 . 17 .19 38 .03 .05 .07 .10 .13 .15 .17 .20 40 .03 .05 .08 .11 .13 .16 .18 .21 42 .03 .05 .08 .1 1 .14 .16 .19 .22 44 .03 .06 .09 .12 .14 .17 .20 • 23 46 .03 .06 .09 .12 .15 ^1? .21 .24 ^ .03 .06 .09 .13 .16 .19 .22 .25 50 .03 .06 .10 .13 .16 .20 .23 .26 52 .03 .07 .10 .14 .17 .20 .24 .27 54 .04 .07 .11 .14 .17 .21 ,24 .28 56 .04 .07 . 11 .14 .1& • 22 *25 • 29 58 tQ4 *07 .11 •^5 .19 .23 r?6 ;30 30 1 04 .08 .12 .15 .19 • 25 l27 • 31 62 .04 .08 .12 .16 .20 .24 .23 , ^32 64 .04 • 08 .12 .16 .21 .23 .29 .33 66 :°ot :8I :il :]? :ii :i? :M ^a .05 .09 .14 .18 .23 !27 • 32 .36 72 28 1X9 1X10 1X1 1 1X12 1 X 1 3 1X14 1 X-» 5 1X16 .01 .01 .01 .02 .02 .02 .02 ,02 2 .02 '.03 .03 .03 .03 .04 .04 ,04 4 .03 .04 .04 .05 .05 .05 .06 .06 6 .05 .05 .05 .06 .06 .07 .07 .08 8 .06 .06 .07 .07 .08 .09 .09 .10 10 t97 • 9Z t?8 .09 .10 . 1 1 .1 1 .12 12 163 .6^ .10 .1 1 .11 .12 .13 ♦ 14 l4 .09 .10 . 1 1 .12 .13 . 14 .15 . 16 16 .10 .11 .12 .14 .15 .16 .17 .18 18 .1 1 .13 . 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T3 12. .09 .10 .1 1 .12 ^TT I 3 !f? .16 4 .10 .1 1 .12 . 13 .14 .16 .17 .13 16 .1 ) .13 .14 .15 .16 .18 .19 .20 18 .13 .14 .15 .17 .18 .19 .21 .22 20 . 14 .15 .17 .18 .20 .21 .23 .24 22 . 1 5 .17 .19 .?Q .?P -U •25 .27 2± . 16 ,18 .20 .22 .^3 :55 .27 Ai 26 . 18 . 19 .21 .23 .25 .27 .29 .31 23 .19 .21 .23 .25 .27 .29 .31 .33 30 .20 .22 .24 .27 .29 .31 .33 .36 32 .21 .24 .26 .23 .31 .33 .35 .33 34 .23 .25 .23 .30 .33 .35 .33 .40 36 .24 .26 .29 .32 .34 .57 .40 .4^ W .25 .28 .31 .33 .36 .39 .42 .44 40 .26 .29 .32 .35 .33 .41 .44 .47 42 .23 .31 .34 .40 .43 •^^ •:?? 44 .29 .32 .35 !33 .42 .45 .43 .31 46 ,30 .33 .37 .40 .43 .47 .30 .33 43 .31 .35 .36 .42 .45 .4^ .52 .56 50 • 33 .36 .40 .43 .47 .31 .34 .33 52 .34 .38 .41 .45 .49 .33 .36 ,60 54 .35 .39 .43 .47 .51 .34 .33 .62 56 .36 .40 .44 .43 .53 .36 .60 .^4 53 tT^ .42 .46 .50 .54 .53 .63 .67 60 .39 .43 .47 .52 .56 .53 .65 .69 62 .40 .44 .49 .53 .58 .62 .67 .71 64 .41 .46 .50 .55 .60 .64 .69 .73 66 .43 .47 .52 .57 .61 .66 .71 .76 63 .44 .49 .53 .53 .63 .68 .73 .73 70 .45 .50 .55 .60 .65 .70 .75 .80 72 33 10 6 ^ 16! ii 10 12 ■ 1X1 IP U? 1X4 155 1X6 1X7 1X3 .oi .10 .1b .21 .h :36 .41 .05 .1 1 .16 .21 .*26 .32 .37 .42 .05 .11 .16 .22 .27 .33 .38 .43 .06 .11 .17 .22 .28 .33 .39 • 44 .06 • 11 .17 .23 .28 .34 .40 .46 .06 • \ 2 .23 ■ 29 .35 .41 .47 .06 • 1 2 .24 .30 -nr • 43 .06 .12 . 1 8 .24 . 3 1 .37 .*43 .49 ,06 .12 .19 .25 .31 .38 .44 .50 .06 .13 .19 .26 .32 .38 .45 .51 .07 .13 .20 .26 .33 .39 .46 .52 .07 st3 .20 .27 .33 .40 f47 .53 .07 .13 .20 .27 .34 .41 .43 .54 .07 ..14 .21 .28 .35 .42 .49 .56 .07 .14 .21 .23 .35 .43 .50 .57 .07 -14 .22 .29 .36 .43 .51 .53 .07 .15 .22 ,29 .37 .44 • 52 .59 .08 tl5 T?3 .30 .3^ • 45 .53 .60 .08 .15 .23 .31 .38 .46 • 53 .61 .08 .16 .23 .31 .39 .47 • 54 .62 .08 .16 .24 .32 .40 .48 .55 ,63 .08 .16 .24 .32 .40 .48 .56 .64 .03 .16 .25 .33 .41 .49 .57 .66 .08 ,]7 .25 .33 .42 .50 ,53 »67 loi .17 ^2r .34 .42 .51 .59 .68 • 09 .1,7 .26 .34 .43 .52 .60 .69 .09 .18 .26 .35 .44 .53 .61 .70 .09 .18 .27 .36 .44 .53 .62 .71 .09 .18 .27 .36 .45 .54. .63 • 72 .09 .18 .28 ,37 .46 .64 .73 .09 il9 i23^ .37 TTT . 56 .65 .74 .10 .19 .28 .33 .47 .57 .66 • 76 .10 .19 .29 .38 .48 .53 .67 .77 .10 .19 .29 .39 .49 .58 .63 .78 .10 -.20 .30 .39 .49 .59 .69 .79 .10 .20 .30 .40. .50 .50 .70 .80 34 6 2 4 6 8 i 9 10 11 10 12 10 1X9 ixn 1X11 1X12 1X13 1X14 1X15 1X16 .46 .51 .57 .62 .67 .72 .77 .82 .48 .53 .58 ,63 .69 .74 .79 .34 .49 .54 .60 .65 .70 .76 .81 .87 .50 .56 .61 .67 .72 .78 .83 .89 .51 .57 .63 .63 .74 .80 .85 .91 .53 ,58 .64 .70 .76 .82 .88 ,93 .54 .60 .66 .72 .78 .84 .90 .96 .55 .61 .67 .73 .79 .86 .92 .98 .56 .62 .69 .75 .81 .88 .94 1.00 .58 .64 .70 .77 .83 .89 .96 1.02 .59 .65 .72 .78 .85 .91 .98 1 .04 .60 .67 .73 .80 .87 .93 1.00 1.07 .61 .66 ,75 .82 .^a .95 1.02 1.i55 .63 .69 .76 .83 .90 .97 1.04 1.11 .64 .71 .78 .85 .92 .99 1.06 1.13 .65 .72 .79 .87 .94 1.01 1.08 1.16 .66 .74 .81 .88 .96 1.03 l.TO 1.18 •^§ .75 _j.§3. .90 .98 1,05 1.13 1.20 .55 .76 .84 .92 .99 i.o7 1.1b 1.5? .70 .78 .86 .93 1.01 1.09 1.17 1.24 .71 .80 .87 .95 1.03 1. 11 1. 19 1.27 .73 .81 .89 .97 1.05 1.13 1.21 1.29 .74 .82 .90 .98 1.07 1. 1 5 1.23 1.31 .75 .83 .9? 1.00 1.08 1.17 1.25 1.33 ^l6 ^85 .93 1.02 i.to 1.19 1.27 1.36 .78 .86 .95 1.03 1.12 1.21 1.29 1.33 .79 .88 .96 1.05 1. 14 1.23 1.31 1.40 .80 .89 .93 1.07 M6 J. 24 1.33 1.42 .81 .90 ,99 1.03 1.17 1.26 1.35 1.44 .83 .92 1.01 1.10 1.19 1.28 1.38 1,47 .84 .93 1.02 1. 12 1.21 1.30 1.40 1.49 .85 .94 1.04 1. 13 1.23 1.32 1.42 1.51 .86 .96 1.05 1.15 1.25 1.34 1.44 1.53 .88 .97 1.07 1.17 1.26 1.36 1.46 1.56 .89 .99 1.03 1.18 1.28 1.38 1.48 1.5.81 1.50 1.60] .90 1.00 1.10 1.20 1.30 1.40 35 11 1X1 1X2 1X3 1X4 1X5 1X6 1X7 1X8 "^ .00 .0.0 .00 .01 .01 .01 .01 .01 1 .00 .01 .01 .01 .02 .02 .02 .02 d .00 ,0) .01 .02 .02 .03 .03 .04 6 .01 .01 .02 .02 .03 .04 .04 .05 8 .01 .02 .02 .03 .04 .05 ,05 .06 10 .01 .02 .03 ,04 ,05 .06 .06 .07 12 .01 .02 .03 .04 ;o5 ^06 .07 ,09 14 .01 .02 .04 .05 .06 .07 .09 ,10 16 .01 .03 .04 .06 .07 .08 .10 ,1 1 18 .02 .03 .05 .06 .OB .09 .11 ,12 20 .02 .03 .05 .07 .08 .10 .12 .13 22 .02 .04 .06 .07 .09 •P .13 rl'^ Zi Tor .04 .06 .05 .'lO .12 :i4 .16 7^ .02 .04 .06 .09 .1 1 .13 .15 .17 23 ,02 .05 .07 .09 .1 1 .14 .16 ,13 30 .02 .05 .07 .10 .12 .15 .17 .20 32 .03 .05 .08 .10 .13 .16 .18 .21 34 .03 .06 .08 .11 .14 .17 .19 ,22 ii .03 .06 .09 .12 .15 .1 7 .20 ,23 33 .03 .06 .09 .12 .15 .13 .21 ,24 40 ,03 .06 . 10 .13 .16 ,19 .22 ,26 42 .03 .07 .10 .13 .1 7 ,20 .24 ,27 44 .04 .07 .1 1 . 14 .18 .21 .25 .23 46 .04 .07 .11 .15 i1^ .22 .26 .29 12. .04 .08 .11 .19 .23 .27 .31 50 .04 .08 . 12 . 16 .20 .24 .28 .32 52 .04 .08 .12 .17 .21 .25 .29 .33 54 .04 .09 . 13 .17 .21 .26 .30 .34 56 .04 .09 .13 .13 .22 .27 .31 .35 53 'Q'p .09 til .18 •^^ •?^ •^^ •^7 ^^ .lib :oy . 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I'J 1 , 20 1.31 1.4] 1.50 1.63 .92 1.0 J 1.12 1.22 1.33 1.43 1.52 1.65 .94 1.04 1. 14 1.24 1.35 1.46 1.55 1.67 .95 1.05 1. 15 1.26 1.37 1.48 1. 57 1.69 .96 1.07 1.17 1.29 1.39 1.50 1.59 1.71 .98 1.08 1. 19 1.30 1.41 1.52 1.62 1.74 .99 1.10 1.21 1.32 1.43 1.54 1.65 1.76 12 1X1 1X2 ]^3 1^4 1X5 1X6 1X7 1X8 P .00 ,00 .00 .01 .01 .01 .01 .01 2 .00 .01 .01 .01 .02 .02 .02 .03 4 .00 .01 .02 .02 .02 .03 .03 .04 6 .01 .01 .02 .03 .03 .04 .05 .05 8 .01 .02 .02 .03 .04 .05 .06 .07 10 .01 .02 .03 .04 .05 .06 .07 .08 H .01 .02 .63 .65 .06 .07 .03 .65 it .01 .03 .04 .05 .07 .08 .09 .11 16 .02 .03 .05 .06 .08 .09 .11 .12 18 • 02 .03 .05 .07 .08 .10 .12 .13 20 .02 .04 .05 .07 .09 .11 .13 .15 22 .02 .04 .06 .08 •19 .12 t14 .16 Z^ .02 .04 .66 .0^ :h ^U :i5 ^T7 It .02 .05 .07 .09 .12 • 14 .16 .19 28 .02 .05 .08 .10 .12 .15 .17 .20 30 .03 .05 .08 .11 .13 • 16 .19 .21 32 .03 .06 .08 .11 .14 .17 .20 .23 34 .03 .06 .09 .12 .15 .18 .?! t?4 i^ .03 ,06 .09 .13 .16 .19 .22 .25 38 .03 .07 .10 .13 .1 7 .20 .23 .27 40 .03 .07 .11 .14 .17 .21 .25 .28 42 .04 .07 .11 .15 .18 .22 .26 .29 44 .04 .08 .11 .15 .19 .23 .27 .31 46 .04 .08 .12 .16 .20 .24 .23 .32 48. .04 .08 .12 .17 .21 .25 .29 .33 50 .04 .09 .13 .17 .22 .26 .30 .35 52 .05 .09 .14 .18 .22 .27 .31 .36 54 .05 .09 .14 .19 .23 .28 .33 .37 56 .05 .10 .14 .19 .24 .29 .34 .39 53 .10 . 15 .20 .25 ,30 • 35 ,40 ^ .05 .10 .15 .21 .26 .31 .36 .41 62 .05 .11 .16 .21 .27 .32 .37 .43 64 .05 .11 .17 .22 .28 .33 .39 .44 66 .06 .1 1 .17 .23 .28 ,34 .40 .45 68 .06 .12 .17 .23 .29 .35 .41 .47 70 _..06 ..12 .18 .24 .30 .36 .42 .48 72 40 12 IX? 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