This is a table of type quadgram and their frequencies. Use it to search & browse the list to learn more about your study carrel.
quadgram | frequency |
---|---|
the velocity of light | 64 |
the theory of relativity | 37 |
the motion of the | 37 |
of time and space | 35 |
general theory of relativity | 32 |
special theory of relativity | 31 |
with respect to the | 30 |
the special theory of | 28 |
in the direction of | 26 |
in a straight line | 26 |
in the case of | 26 |
the general theory of | 25 |
with regard to the | 24 |
a ray of light | 24 |
on the other hand | 23 |
the law of gravitation | 22 |
the velocity of the | 21 |
of space and time | 21 |
the principle of relativity | 20 |
at the same time | 20 |
with reference to the | 19 |
of the general theory | 16 |
of the special theory | 16 |
on the surface of | 16 |
the laws of nature | 15 |
action at a distance | 15 |
in the absence of | 14 |
the fact that the | 14 |
the square of the | 13 |
in a gravitational field | 13 |
that is to say | 13 |
the case of the | 13 |
theory of relativity is | 13 |
in connection with the | 12 |
the path of the | 12 |
the surface of the | 12 |
a point in space | 11 |
the sum of the | 11 |
of the velocity of | 11 |
motion of the earth | 11 |
in the same direction | 11 |
the length of a | 11 |
that there is no | 11 |
the direction of the | 11 |
at right angles to | 10 |
motion with respect to | 10 |
the motions of the | 10 |
the nature of the | 10 |
time and space are | 10 |
the distance between two | 10 |
in such a way | 10 |
the same for all | 10 |
space and time are | 10 |
in the presence of | 10 |
velocity of light is | 9 |
respect to the ether | 9 |
if we are to | 9 |
as to the nature | 9 |
that the laws of | 9 |
the ratio of the | 9 |
it is necessary to | 9 |
in terms of the | 9 |
distance between two points | 9 |
velocity of light in | 9 |
with the velocity of | 9 |
observer on the earth | 9 |
that the velocity of | 9 |
the center of the | 9 |
in the first place | 9 |
to the nature of | 9 |
of the relativity of | 9 |
in the neighborhood of | 9 |
that space and time | 9 |
the results of the | 8 |
surface of a sphere | 8 |
in the sense of | 8 |
of the royal society | 8 |
on the spherical surface | 8 |
sum of the squares | 8 |
relativity of uniform motion | 8 |
square of the distance | 8 |
to the conclusion that | 8 |
if there were no | 8 |
of the fact that | 8 |
to that of light | 8 |
the motion of a | 8 |
the special relativity theory | 8 |
the surface of a | 8 |
as a matter of | 8 |
a matter of fact | 8 |
are in relative motion | 8 |
of the theory of | 8 |
what is meant by | 8 |
of the nature of | 8 |
a system of coordinates | 8 |
with which we are | 8 |
of the earth in | 8 |
the length of the | 8 |
the laws of disposition | 8 |
at the same rate | 8 |
is due to the | 8 |
according to the theory | 7 |
in exactly the same | 7 |
the relative motion of | 7 |
the ether of the | 7 |
the direction of their | 7 |
at rest with respect | 7 |
of the motion of | 7 |
surface of the earth | 7 |
uniform motion in a | 7 |
in a state of | 7 |
motion in a straight | 7 |
an observer on the | 7 |
motion of the observer | 7 |
same for all observers | 7 |
with that of light | 7 |
velocity with respect to | 7 |
with respect to a | 7 |
as the velocity of | 7 |
if we wish to | 7 |
the relativity of uniform | 7 |
the earth in its | 7 |
to the fact that | 7 |
to the theory of | 7 |
regard to the observer | 7 |
time and space and | 7 |
a large number of | 7 |
on the ground that | 7 |
which is independent of | 7 |
the observer and the | 7 |
ray of light would | 7 |
the earth and the | 7 |
laws of nature are | 7 |
the geometry of the | 7 |
wave theory of light | 7 |
motion of the fly | 7 |
the difference between the | 7 |
in the nature of | 7 |
the square root of | 7 |
the way in which | 7 |
rest with respect to | 7 |
the position of the | 7 |
world of four dimensions | 7 |
on the basis of | 7 |
it is not the | 6 |
the path of a | 6 |
the edge of the | 6 |
what we mean by | 6 |
the observer on the | 6 |
moving in the direction | 6 |
is independent of the | 6 |
of the heavenly bodies | 6 |
bodies in the universe | 6 |
of motion of the | 6 |
it is true that | 6 |
of the electromagnetic field | 6 |
with the theory of | 6 |
motion through the ether | 6 |
as well as the | 6 |
what is true of | 6 |
the nature of light | 6 |
of the gravitational field | 6 |
between any two points | 6 |
to the same thing | 6 |
to the velocity of | 6 |
we may say that | 6 |
when we say that | 6 |
the theory of gravitation | 6 |
with reference to which | 6 |
with the help of | 6 |
universe as a whole | 6 |
of the squares of | 6 |
in spite of the | 6 |
to the motion of | 6 |
the same direction as | 6 |
to account for the | 6 |
the nature of matter | 6 |
the direction of motion | 6 |
in the course of | 6 |
the force of gravity | 6 |
various contributors and the | 6 |
of the earth through | 6 |
under the influence of | 6 |
if we were to | 6 |
by the fact that | 6 |
and at the same | 6 |
that the earth was | 6 |
laws of disposition of | 6 |
the direction in which | 6 |
as we have seen | 6 |
in the same way | 6 |
the perihelion of mercury | 6 |
eclipse of the sun | 6 |
the idea of the | 6 |
on the plane e | 6 |
at the rate of | 6 |
by means of a | 6 |
to be able to | 6 |
earth in its orbit | 6 |
contributors and the editor | 6 |
the end of the | 6 |
no such thing as | 6 |
by various contributors and | 6 |
the same way as | 6 |
respect to the first | 6 |
as compared to the | 6 |
of the laws of | 6 |
the presence of the | 6 |
is the result of | 6 |
the manner in which | 6 |
of the universe as | 6 |
motion of a body | 6 |
the universe as a | 6 |
attached to the earth | 6 |
a study of the | 5 |
to that of the | 5 |
in which we are | 5 |
the einstein theory of | 5 |
in addition to the | 5 |
the gravitational field and | 5 |
that there can be | 5 |
from the standpoint of | 5 |
the state of the | 5 |
not in the least | 5 |
right angles to the | 5 |
in the world of | 5 |
concepts of time and | 5 |
of the observer and | 5 |
we shall be able | 5 |
it ought to be | 5 |
velocity with regard to | 5 |
set of coordinate axes | 5 |
the existence of a | 5 |
with the same velocity | 5 |
such a way that | 5 |
we speak of the | 5 |
of the external world | 5 |
at the end of | 5 |
of the perihelion of | 5 |
of the sum of | 5 |
so far as the | 5 |
are equivalent for the | 5 |
of the planet mercury | 5 |
the relativity of motion | 5 |
connection with the theory | 5 |
as the square of | 5 |
the source of light | 5 |
when we speak of | 5 |
in the sense that | 5 |
at the time of | 5 |
we do not know | 5 |
the earth through the | 5 |
the propagation of light | 5 |
the absolute motion of | 5 |
it will be seen | 5 |
to be at rest | 5 |
in the special theory | 5 |
the influence of gravitation | 5 |
to the direction of | 5 |
the laws of conservation | 5 |
the rotation of the | 5 |
that time and space | 5 |
the two sets of | 5 |
earth through the ether | 5 |
the universe is spatially | 5 |
that so far as | 5 |
is no such thing | 5 |
the presence of matter | 5 |
there is no such | 5 |
in the theory of | 5 |
of the scientific american | 5 |
a way as to | 5 |
about the motion of | 5 |
is the same for | 5 |
square root of the | 5 |
root of the sum | 5 |
the sun and the | 5 |
surface of the globe | 5 |
a law of nature | 5 |
one or the other | 5 |
the case of a | 5 |
velocity of light with | 5 |
would have to be | 5 |
we shall see that | 5 |
the mass of a | 5 |
that it is impossible | 5 |
measure the length of | 5 |
the positions of the | 5 |
the university of leyden | 5 |
motion of the universe | 5 |
the wave theory of | 5 |
a straight line in | 5 |
turn out to be | 5 |
for the purpose of | 5 |
direction of their motion | 5 |
the ray of light | 5 |
to be regarded as | 5 |
as a result of | 5 |
time and space as | 5 |
ether of the general | 5 |
spite of the fact | 5 |
absolute motion of the | 5 |
and the law of | 5 |
points a and b | 5 |
it is obvious that | 5 |
is true of the | 5 |
inversely as the square | 5 |
shall be able to | 5 |
in the opposite direction | 5 |
into space and time | 5 |
such a way as | 5 |
president of the royal | 4 |
all bodies in the | 4 |
the laws of dynamics | 4 |
mechanical principle of relativity | 4 |
in precisely the same | 4 |
length of the rod | 4 |
the conception of the | 4 |
field of the sun | 4 |
the concept of time | 4 |
gravitational field of the | 4 |
that he is at | 4 |
the rays of light | 4 |
of the earth on | 4 |
in the direction which | 4 |
that the light had | 4 |
the curvature of the | 4 |
in a position to | 4 |
at the university of | 4 |
at a speed of | 4 |
the speed of light | 4 |
waves set up by | 4 |
gravitational field and the | 4 |
we are tempted to | 4 |
to be considered as | 4 |
to the special theory | 4 |
the rest of the | 4 |
sense of euclidean geometry | 4 |
respect to one another | 4 |
a frame of reference | 4 |
the direction which we | 4 |
for the first time | 4 |
the displacement of the | 4 |
conception of time and | 4 |
is subject to gravitation | 4 |
within the range of | 4 |
the conclusion that the | 4 |
and this is the | 4 |
if the laws of | 4 |
between two points in | 4 |
the metrical properties of | 4 |
straight line in the | 4 |
unaccelerated frames of reference | 4 |
edge of the sun | 4 |
may be regarded as | 4 |
the squares of the | 4 |
we should say that | 4 |
as well as to | 4 |
one or more of | 4 |
to serve as a | 4 |
a system moving with | 4 |
the neighborhood of matter | 4 |
as we know it | 4 |
the sense of euclidean | 4 |
to the general theory | 4 |
what he means by | 4 |
the direction of its | 4 |
einstein theory of relativity | 4 |
if we take a | 4 |
is so small that | 4 |
g dx g dx | 4 |
velocity of the earth | 4 |
is given by the | 4 |
the laws of mechanics | 4 |
constant with regard to | 4 |
that it is the | 4 |
the attraction of the | 4 |
of a gravitational field | 4 |
as shown in the | 4 |
made it clear that | 4 |
special and the general | 4 |
the sun would be | 4 |
relative motion of the | 4 |
mass of a body | 4 |
a beam of light | 4 |
electromagnetic theory of light | 4 |
of light with regard | 4 |
the velocity with which | 4 |
and that of the | 4 |
equal intervals of time | 4 |
must be the same | 4 |
we shall have to | 4 |
exactly the same manner | 4 |
the fact that it | 4 |
it is clear that | 4 |
is the most important | 4 |
all the metrical properties | 4 |
how are we to | 4 |
the electromagnetic theory of | 4 |
the force of gravitation | 4 |
one of the foci | 4 |
the most important result | 4 |
be the same for | 4 |
the deflection of light | 4 |
the relative motion between | 4 |
is independent of all | 4 |
the space and time | 4 |
the nature of things | 4 |
the frame of reference | 4 |
the size of the | 4 |
of a finite universe | 4 |
universe is spatially finite | 4 |
of the einstein theories | 4 |
of the lorentzian ether | 4 |
a system of geometry | 4 |
that a ray of | 4 |
we have only to | 4 |
light with regard to | 4 |
it has been shown | 4 |
the existence of an | 4 |
of the earth and | 4 |
our ideas of the | 4 |
this part of the | 4 |
moving through the ether | 4 |
one of the most | 4 |
independent of all observers | 4 |
of the new theory | 4 |
the form of the | 4 |
we are accustomed to | 4 |
of one of the | 4 |
moves with reference to | 4 |
the acceleration of the | 4 |
the special and the | 4 |
a flash of light | 4 |
the general laws of | 4 |
theory of relativity has | 4 |
in the university of | 4 |
expressed in terms of | 4 |
it is not a | 4 |
force exerted by the | 4 |
the earth as a | 4 |
to which the name | 4 |
from the essay by | 4 |
must be regarded as | 4 |
by means of the | 4 |
length of a rod | 4 |
comparable to that of | 4 |
the observer in the | 4 |
is one of the | 4 |
at the same instant | 4 |
in the scientific american | 4 |
that there is a | 4 |
the position of a | 4 |
of a point in | 4 |
to measure the velocity | 4 |
the movement of the | 4 |
with respect to one | 4 |
it will be noted | 4 |
close to the sun | 4 |
relative to the observer | 4 |
but we must not | 4 |
is not affected by | 4 |
points in a plane | 4 |
that we do not | 4 |
to do with the | 4 |
does not in the | 4 |
a continuum of points | 4 |
principle of relativity is | 4 |
that the distance between | 4 |
a straight line with | 4 |
the fact that in | 4 |
ideas of time and | 4 |
thing as absolute motion | 4 |
a set of coordinate | 4 |
in the system of | 4 |
it was possible to | 4 |
motion of the source | 4 |
space and absolute time | 4 |
that the universe is | 4 |
he tells us that | 4 |
there can be no | 4 |
the equations of the | 4 |
is the law of | 4 |
is in accord with | 4 |
to point out that | 4 |
there is no way | 4 |
case of the planet | 4 |
relatively to one another | 4 |
the mechanical principle of | 4 |
it turns out that | 4 |
to be the same | 4 |
the case of light | 4 |
the special principle of | 4 |
the ether of space | 4 |
the attraction of gravitation | 4 |
on the nature of | 4 |
the orbit of mercury | 4 |
is by no means | 4 |
the essay by prof | 4 |
light in a vacuum | 4 |
shall see that the | 4 |
of a system of | 4 |
the mass of the | 4 |
as we had supposed | 4 |
be thought of as | 4 |
the time of the | 4 |
sun and the earth | 4 |
a phenomenon of the | 4 |
the velocity of a | 4 |
to the effect that | 4 |
which are to be | 4 |
velocity of the light | 4 |
motion relative to the | 4 |
from that of the | 4 |
when we come to | 4 |
the scientific american for | 4 |
space of four dimensions | 3 |
between the space and | 3 |
increase in size as | 3 |
is obvious that we | 3 |
be the law of | 3 |
is that it is | 3 |
that the sun is | 3 |
two points in space | 3 |
as the fourth dimension | 3 |
special principle of relativity | 3 |
one set of coordinates | 3 |
get the same result | 3 |
circumference of a circle | 3 |
line between euclidean and | 3 |
may be referred to | 3 |
motion of the body | 3 |
the conditions of the | 3 |
all unaccelerated frames of | 3 |
the laws of motion | 3 |
as is well known | 3 |
this point of view | 3 |
of the real world | 3 |
we are in a | 3 |
the extent to which | 3 |
it is possible to | 3 |
if we think of | 3 |
dx g dx g | 3 |
reference to the other | 3 |
reference to which the | 3 |
the time it takes | 3 |
into the nature of | 3 |
the gravitational field is | 3 |
the waves set up | 3 |
the mathematical statement of | 3 |
more and more from | 3 |
end of the spectrum | 3 |
and the theory of | 3 |
a gravitational field and | 3 |
we say that the | 3 |
ought to be possible | 3 |
total eclipse of the | 3 |
as a whole is | 3 |
the use of a | 3 |
new theory of gravitation | 3 |
the theory is the | 3 |
as a means of | 3 |
ratio of the circumference | 3 |
the equations of motion | 3 |
direct consequence of the | 3 |
direction of its motion | 3 |
the line joining the | 3 |
in accord with the | 3 |
of conservation of energy | 3 |
is exactly the same | 3 |
theory of a finite | 3 |
there would be no | 3 |
there is an absolute | 3 |
the basis of the | 3 |
the space may be | 3 |
of the world of | 3 |
absolute motion in space | 3 |
of the two observers | 3 |
measure the velocity of | 3 |
theory of relativity a | 3 |
there may be no | 3 |
in so far as | 3 |
the bell is struck | 3 |
if the bell is | 3 |
resistance of the air | 3 |
falling with the acceleration | 3 |
a distortion of the | 3 |
as if it were | 3 |
points and lines and | 3 |
need only point out | 3 |
law of nature which | 3 |
the theory that light | 3 |
within the limits of | 3 |
the effect of the | 3 |
one of the highest | 3 |
the course of time | 3 |
motion with reference to | 3 |
space and time of | 3 |
will be noted that | 3 |
so long as it | 3 |
at rest or in | 3 |
impossible to distinguish between | 3 |
that of an ellipse | 3 |
is the velocity of | 3 |
between euclidean and non | 3 |
frames of reference are | 3 |
regard to the medium | 3 |
fact that it is | 3 |
a definite system of | 3 |
space and time intervals | 3 |
body with reference to | 3 |
what we have said | 3 |
a source of light | 3 |
with the assumption that | 3 |
laws of conservation of | 3 |
direction in which we | 3 |
his theory of relativity | 3 |
of light passing near | 3 |
attractive power would be | 3 |
matter how different their | 3 |
that the geometry of | 3 |
be affected by the | 3 |
in point of fact | 3 |
of the surrounding bodies | 3 |
the general principle of | 3 |
it is in order | 3 |
his attention to the | 3 |
concept of absolute motion | 3 |
matter in the universe | 3 |
of measuring space and | 3 |
theory of relativity the | 3 |
suppose that we are | 3 |
theory of time and | 3 |
the same way that | 3 |
by the straight line | 3 |
between time and space | 3 |
the world of events | 3 |
the eclipse of the | 3 |
the reality of the | 3 |
move away from s | 3 |
to go out as | 3 |
a point in a | 3 |
meeting of the royal | 3 |
a special case of | 3 |
a certain point of | 3 |
character of the world | 3 |
to an inertial system | 3 |
as in case a | 3 |
same direction as the | 3 |
box and its contents | 3 |
of light in the | 3 |
as the special theory | 3 |
the straight line in | 3 |
space and time standards | 3 |
the absence of a | 3 |
we are able to | 3 |
time as the fourth | 3 |
obtained in connection with | 3 |
answer to the question | 3 |
the result of one | 3 |
the attractive power would | 3 |
geometry of four dimensions | 3 |
in terms of things | 3 |
of a fourth dimension | 3 |
the space of our | 3 |
is in new york | 3 |
the mathematical expression of | 3 |
the deviation of light | 3 |
which we have to | 3 |
which is to be | 3 |
be attracted by the | 3 |
it takes to go | 3 |
from new york to | 3 |
at the instant when | 3 |
regard to one another | 3 |
of the geometry of | 3 |
we find that the | 3 |
approaches that of light | 3 |
the principle of the | 3 |
the existence of the | 3 |
height above the floor | 3 |
between two elements possesses | 3 |
which we are familiar | 3 |
positions of the two | 3 |
of a ray of | 3 |
of the details of | 3 |
at miles per hour | 3 |
the great majority of | 3 |
with a velocity of | 3 |
but it is not | 3 |
when we attempt to | 3 |
the distance between the | 3 |
absolute space and absolute | 3 |
of rest or of | 3 |
of a body in | 3 |
the velocity of sound | 3 |
to the square of | 3 |
the expression of a | 3 |
they move away from | 3 |
uniform movement of translation | 3 |
takes to go from | 3 |
that it would be | 3 |
the principle of least | 3 |
go from new york | 3 |
the rate of miles | 3 |
must also hold good | 3 |
motions of the planets | 3 |
of the solar system | 3 |
as far as the | 3 |
the sense of sight | 3 |
precisely the same way | 3 |
that light was a | 3 |
and the significance of | 3 |
may be no holes | 3 |
by the presence of | 3 |
so that we may | 3 |
a point in the | 3 |
result of one of | 3 |
the only thing that | 3 |
in size as they | 3 |
the laws of gravitation | 3 |
it is that the | 3 |
the special theory is | 3 |
the discharge of electricity | 3 |
nothing to do with | 3 |
from the centre of | 3 |
have no effect on | 3 |
is moving in the | 3 |
the net result of | 3 |
of the same nature | 3 |
a state of rest | 3 |
the theory of the | 3 |
the moon and the | 3 |
as to make it | 3 |
no matter how different | 3 |
in one way or | 3 |
motion to one another | 3 |
point on the earth | 3 |
the simplicity of the | 3 |
as compared with the | 3 |
but it is the | 3 |
in much the same | 3 |
independent of the motion | 3 |
a point on the | 3 |
that this is not | 3 |
as they move away | 3 |
a system of inertia | 3 |
the distortion of the | 3 |
an artificial field of | 3 |
that the idea of | 3 |
because the earth is | 3 |
time and space in | 3 |
in the external world | 3 |
the very fact that | 3 |
there is nothing in | 3 |
the time taken for | 3 |
it is difficult to | 3 |
the dividing line between | 3 |
is that of the | 3 |
spherical surface of the | 3 |
if it does not | 3 |
according to einstein the | 3 |
to say that the | 3 |
principle of the relativity | 3 |
by a point in | 3 |
of miles an hour | 3 |
of the phenomena of | 3 |
relative to one another | 3 |
this sort of thing | 3 |
the moon would be | 3 |
arrived at the same | 3 |
one attached to the | 3 |
which we have been | 3 |
answer to this question | 3 |
but what is this | 3 |
the external world is | 3 |
this does not mean | 3 |
what is this ether | 3 |
difference between the two | 3 |
standards of space and | 3 |
to go from new | 3 |
may be taken as | 3 |
this phase of the | 3 |
in terms of space | 3 |
in uniform movement of | 3 |
generalized theory of relativity | 3 |
the system of coordinates | 3 |
velocity of a train | 3 |
important result obtained in | 3 |
with the acceleration of | 3 |
moves in a straight | 3 |
as if there were | 3 |
to detect absolute motion | 3 |
the effect of a | 3 |
the relation of the | 3 |
confirmed in the case | 3 |
at the center of | 3 |
part of the universe | 3 |
angles to the direction | 3 |
of miles per second | 3 |
to be ascribed to | 3 |
result obtained in connection | 3 |
the character of the | 3 |
and the general theory | 3 |
reference to the sun | 3 |
the curvature of space | 3 |
of light in a | 3 |
in practically every instance | 3 |
in the direction o | 3 |
with the special theory | 3 |
of what is meant | 3 |
ray of light which | 3 |
the doctrine of the | 3 |
is found to be | 3 |
relative to the ether | 3 |
state of rest or | 3 |
by the square root | 3 |
as the laws of | 3 |
that the curvature of | 3 |
highest achievements of human | 3 |
or of uniform motion | 3 |
for the statement of | 3 |
law of inverse squares | 3 |
it will be realized | 3 |
of the three dimensions | 3 |
the observed phenomena of | 3 |
be regarded as a | 3 |
the significance of the | 3 |
to the competing essayists | 3 |
of reference are equivalent | 3 |
is based on the | 3 |
for the round trip | 3 |
a world of four | 3 |
of such sort that | 3 |
the same velocity as | 3 |
dividing line between euclidean | 3 |
that light must be | 3 |
as the basis of | 3 |
have led to the | 3 |
the distance from the | 3 |
to the wave theory | 3 |
produce the sensation of | 3 |
length of a body | 3 |
is indeed a very | 3 |
in his theory of | 3 |
varies inversely as the | 3 |
a statement of the | 3 |
in the history of | 3 |
passing near the sun | 3 |
phase of the subject | 3 |
of the university of | 3 |
with the same speed | 3 |
or frame of reference | 3 |
he is at rest | 3 |
of the angles of | 3 |
a system of reference | 3 |
ray of light passing | 3 |
in the ether of | 3 |
and the nature of | 3 |
by assuming that the | 3 |
appears to be the | 3 |
to show that the | 3 |
the question whether the | 3 |
the motion of all | 3 |
artificial field of force | 3 |
of light and the | 3 |
the law of inertia | 3 |
one of the four | 3 |
the purpose of the | 3 |
a straight line from | 3 |
it was found that | 3 |
on the assumption that | 3 |
the spherical surface of | 3 |
earth on its axis | 3 |
assumption about the motion | 3 |
by their distances from | 3 |
give rise to a | 3 |
were not able to | 3 |
it is found that | 3 |
are in a state | 3 |
achievements of human thought | 3 |
there is an ether | 3 |
thinks that he is | 3 |
velocity of miles per | 3 |
a straight line is | 3 |
the medium for the | 3 |
if it is not | 3 |
the geometry of space | 3 |
equivalent for the statement | 3 |
are due to the | 3 |
in relative motion to | 3 |
of the attraction of | 3 |
the world of space | 3 |
and lines and planes | 3 |
of uniform motion in | 3 |
in motion relative to | 3 |
statement of the general | 3 |
of the reality of | 3 |
a field of force | 3 |
must be pointed out | 3 |
another point of view | 3 |
so small as to | 3 |
the space round it | 3 |
instead of being a | 3 |
one and the same | 3 |
on account of the | 3 |
motion of an observer | 3 |
according to this theory | 3 |
of time at a | 3 |
about the nature of | 3 |
make it clear that | 3 |
a speed of miles | 3 |
it has been known | 3 |
the new york times | 3 |
two elements possesses significance | 3 |
the earth on its | 3 |
space and time measurements | 3 |
in the light of | 3 |
a velocity of miles | 3 |
the gravitational influence of | 3 |
sum of the angles | 3 |
rest or of uniform | 3 |
and the one which | 3 |
the perihelion of the | 3 |
of the human mind | 3 |
that the mass of | 3 |
measuring space and time | 3 |
of light would be | 3 |
the work of the | 3 |
acted upon by a | 3 |
of the einstein theory | 3 |
for a moment to | 3 |
the ether does not | 3 |
the circumference of a | 3 |
and the laws of | 3 |
do not believe that | 3 |
of the problem of | 3 |
is subject to the | 3 |
straight line with constant | 3 |
with a velocity v | 3 |
on the part of | 3 |
rigid bodies do not | 3 |
exactly the same as | 3 |
interval between two events | 3 |
acceleration with reference to | 3 |
with a constant acceleration | 3 |
we have always supposed | 3 |
the invariant expression for | 3 |
that there must be | 3 |
on a sheet of | 3 |
of the foci of | 3 |
the properties of light | 3 |
of electricity through gases | 3 |
in accord with what | 3 |
it follows that the | 3 |
contrary to common sense | 3 |
without reference to the | 3 |
any one of them | 3 |
velocity through the ether | 3 |
the gravitational field of | 3 |
two and three dimensions | 3 |
theory of relativity it | 3 |
is only to be | 3 |
of relativity is a | 3 |
attracted by the sun | 3 |
it is not possible | 3 |
go at the same | 3 |
what might have been | 3 |
it became evident that | 3 |
of the physical world | 3 |
to the gravitational field | 3 |
is a special case | 3 |
the relations of real | 3 |
is meant by the | 3 |
it is not so | 3 |
in any small region | 3 |
the answer to the | 3 |
from what we have | 3 |
with the laws of | 3 |
reference to the earth | 3 |
with respect to these | 3 |
its distance from the | 3 |
with the idea of | 3 |
are of the same | 3 |
are relative to the | 3 |
propagation of light in | 3 |
to the general reader | 3 |
with regard to one | 3 |
time it takes to | 3 |
the spaces of the | 3 |
as we have always | 3 |
of light in vacuo | 3 |
rotation of the earth | 3 |
if there is no | 3 |
between the two sets | 3 |
to most of us | 3 |
all over the world | 3 |
of galileo and newton | 3 |
and the general theories | 3 |
we are going to | 3 |
there is nothing to | 3 |
the dimensions of the | 3 |
with reference to some | 3 |
that there is an | 3 |
comparable with that of | 3 |
the form of a | 3 |
the connection between the | 3 |
this is the most | 3 |
of disposition of the | 3 |
to which it is | 3 |
there is no reason | 3 |
principle of least action | 3 |
angles of a triangle | 3 |
in terms of our | 3 |
is constant with regard | 3 |
all of the same | 3 |
would be impossible to | 3 |
nature of matter and | 3 |
out of its course | 3 |
line with constant velocity | 3 |
the resistance of the | 3 |
our belief in the | 3 |
is a continuum of | 3 |
is at rest with | 3 |
of action at a | 3 |
the world as it | 3 |
we get a euclidean | 3 |
most important result obtained | 3 |
it will appear to | 3 |
in regard to the | 3 |
and that it is | 3 |
time and space to | 3 |
of the highest achievements | 3 |
partly of our original | 3 |
about time and space | 3 |
their state of motion | 3 |
discharge of electricity through | 3 |
the mass of such | 3 |
as a special case | 3 |
it is evident that | 3 |
we shall find a | 3 |
in dealing with the | 3 |
in uniform motion relative | 3 |
there must be some | 3 |
be out of place | 3 |
equal to that of | 3 |
view of the universe | 3 |
an amount of energy | 3 |
with respect to this | 3 |
the observed facts of | 3 |
uniform motion relative to | 3 |
in the form of | 3 |
a careful study of | 3 |
as part of the | 3 |
theory of gravitation since | 3 |
to a coordinate system | 3 |
path of the moon | 3 |
for the fact that | 3 |
for the eugene higgins | 3 |
the discussion of the | 3 |
as to which of | 3 |
motion with regard to | 3 |
the practical geometry of | 3 |
of the mechanism of | 3 |
to the extent that | 3 |
in the center of | 3 |
as we shall see | 3 |
if he were to | 3 |
the shape of the | 3 |
large number of experiments | 3 |
a universe in which | 3 |
measurements in terms of | 3 |
in the space of | 3 |
and note the time | 3 |
action and reaction between | 3 |
to the principle of | 3 |
careful study of the | 3 |
the measurement of time | 3 |
we take a section | 3 |
he means by a | 3 |
is as good as | 3 |
also hold good for | 3 |
the centre of the | 3 |
general principle of relativity | 3 |
been shown to be | 3 |
to measure the length | 3 |
reference are equivalent for | 3 |
it would be impossible | 3 |
tenths that of light | 3 |
so long as we | 3 |
would obtain the same | 3 |
a part of the | 3 |
attraction of the sun | 3 |
the geometrical character of | 3 |
compared with that of | 3 |
be seen to be | 3 |
for the sake of | 3 |
of the copernican system | 3 |
such thing as absolute | 3 |
a set of axes | 3 |
and space are not | 3 |
exactly the same time | 3 |
his law of gravitation | 3 |
wish to investigate the | 3 |
a sheet of paper | 3 |
that the two clocks | 3 |
the highest achievements of | 3 |
the idea of a | 3 |
be referred to a | 3 |
we do not see | 3 |
that we shall be | 3 |
joining the two points | 3 |
the earth around the | 3 |
discussion of the special | 3 |
in this case the | 3 |
the university of berlin | 3 |
the cosmos as a | 3 |
of the line joining | 3 |
independent of the velocity | 3 |
than that of light | 3 |
through the ether is | 3 |
appears the same to | 3 |
the gun is fired | 3 |
conception of the ether | 3 |
at a certain time | 3 |
of length and time | 3 |
that all motion is | 2 |
between two points on | 2 |
there is no gravitation | 2 |
actual measurements in terms | 2 |
the velocity with regard | 2 |
take a section in | 2 |
the distinction between the | 2 |
the general theory and | 2 |
in any one set | 2 |
are dealing with a | 2 |
concise statement by prof | 2 |
is in some way | 2 |
velocity of the planets | 2 |
in its most general | 2 |
always be the same | 2 |
in which time is | 2 |
small as to be | 2 |
whatever the relative motion | 2 |
because it is not | 2 |
an observer moving with | 2 |
doubt that they confirm | 2 |
limited in any way | 2 |
our perceptions and conceptions | 2 |
principle of relativity and | 2 |
less than a second | 2 |
of the given continuum | 2 |
its height above the | 2 |
travelled in straight lines | 2 |
but none the less | 2 |
more or less of | 2 |
is not the slightest | 2 |
and look into the | 2 |
is to point out | 2 |
of the source toward | 2 |
the white house is | 2 |
on the velocity of | 2 |
the external reality from | 2 |
it is often said | 2 |
either observer appears to | 2 |
the sun is much | 2 |
line joining it to | 2 |
about two and a | 2 |
is nothing but an | 2 |
to him the noise | 2 |
principle of relativity a | 2 |
of a part of | 2 |
velocity of light must | 2 |
the reason for this | 2 |
a position to form | 2 |
the only thing in | 2 |
the matter of which | 2 |
if the velocity of | 2 |
every law of nature | 2 |
if it turns out | 2 |
and the other at | 2 |
a total eclipse of | 2 |
constant of integration in | 2 |
sign before the time | 2 |
after a careful study | 2 |
elements of the set | 2 |
whether two events at | 2 |
section in one direction | 2 |
for a moment that | 2 |
of any one of | 2 |
greater and greater as | 2 |
may be made of | 2 |
in a strong gravitational | 2 |
lay down a proposition | 2 |
of the sort which | 2 |
developments in theoretical physics | 2 |
a direct consequence of | 2 |
it is not generally | 2 |
account of the very | 2 |
all of our perceptions | 2 |
motion relative to one | 2 |
deflection of light by | 2 |
rather than a single | 2 |
have already alluded to | 2 |
when we try to | 2 |
two points in a | 2 |
that and the other | 2 |
so constituted that uniform | 2 |
between the observer and | 2 |
special theory and its | 2 |
there were no other | 2 |
becomes more and more | 2 |
earth to stand on | 2 |
static world of points | 2 |
would be different if | 2 |
say which is the | 2 |
is so constituted that | 2 |
a euclidean space of | 2 |
a coordinate system k | 2 |
rectilinear motion with respect | 2 |
action of a force | 2 |
after einstein has had | 2 |
only thing in the | 2 |
under the gravitational influence | 2 |
dimensional world of the | 2 |
to a set of | 2 |
vacuum has a definite | 2 |
in a popular explanation | 2 |
displacement at the limb | 2 |
for the displacement at | 2 |
the cartesian coordinates of | 2 |
the separation between two | 2 |
of uniform motion tells | 2 |
affirming that it is | 2 |
has long been known | 2 |
nothing else than latent | 2 |
be able to make | 2 |
half the velocity of | 2 |
the copernican system of | 2 |
geometry of two dimensions | 2 |
proportional to the mass | 2 |
to act as judges | 2 |
interval and of the | 2 |
mercury column and the | 2 |
any physical process or | 2 |
is to agree that | 2 |
it is plain that | 2 |
magnitudes of the same | 2 |
every one of these | 2 |
the same time as | 2 |
mere part of the | 2 |
of matter and energy | 2 |
the details of the | 2 |
independent of one another | 2 |
but this does not | 2 |
a particle of matter | 2 |
most fundamental of all | 2 |
of time or space | 2 |
the points a and | 2 |
connection with the present | 2 |
motion of a system | 2 |
or replace it by | 2 |
earth and the ether | 2 |
average amount equal to | 2 |
to the force of | 2 |
observations made during the | 2 |
relationship between only such | 2 |
standard of time would | 2 |
was felt that the | 2 |
in other words the | 2 |
explanation of his postulates | 2 |
the new law has | 2 |
english solar eclipse expedition | 2 |
they were thinking of | 2 |
foci of this ellipse | 2 |
of any physical process | 2 |
calculation shows that the | 2 |
to observers on the | 2 |
theory among all the | 2 |
number of dissenting opinions | 2 |
a grip on the | 2 |
of the source of | 2 |
as to the justification | 2 |
which we shall not | 2 |
universe is so constituted | 2 |
keep track of the | 2 |
on a plane surface | 2 |
axes fixed in the | 2 |
reference to the ether | 2 |
the presence of another | 2 |
whatever their physical or | 2 |
for the waves of | 2 |
we can not imagine | 2 |
of the idea of | 2 |
a state of affairs | 2 |
moving with uniform velocity | 2 |
force is manifested relative | 2 |
be referred to as | 2 |
is the longest possible | 2 |
of cosmic order of | 2 |
light passing close to | 2 |
it was known to | 2 |
alteration of motion is | 2 |
how different their x | 2 |
and three for distances | 2 |
if i pass you | 2 |
the inertia of the | 2 |
part of my theory | 2 |
the best of those | 2 |
because to him the | 2 |
form of the equations | 2 |
a distortion or strain | 2 |
to us as a | 2 |
the planets around the | 2 |
surpasses in boldness everything | 2 |
we find a remarkable | 2 |
to this question is | 2 |
at a net speed | 2 |
to their masses and | 2 |
to distinguish between them | 2 |
position of the magnetic | 2 |
expanded form of an | 2 |
the reader into the | 2 |
the special theory among | 2 |
leaves the field equations | 2 |
the world is so | 2 |
too small for detection | 2 |
it is moving at | 2 |
that one of them | 2 |
travel with the same | 2 |
in a similar way | 2 |
space and mass and | 2 |
an acceleration with reference | 2 |
we could not prove | 2 |
with constant velocity with | 2 |
in terms of euclidean | 2 |
the effect that the | 2 |
without introducing any new | 2 |
a consequence of our | 2 |
continuum of two dimensions | 2 |
the day of the | 2 |
the choice of the | 2 |
which we are accustomed | 2 |
in the next chapter | 2 |
would not be the | 2 |
theory of general relativity | 2 |
approximation to the truth | 2 |
the lines are parallel | 2 |
one direction than in | 2 |
the track in the | 2 |
body in space is | 2 |
reference to this ether | 2 |
cartesian coordinates of the | 2 |
observer and his reference | 2 |
rotating with respect to | 2 |
ever be able to | 2 |
that this is true | 2 |
is of course not | 2 |
difficulty that another observer | 2 |
but so long as | 2 |
the myriad particles composing | 2 |
us about time and | 2 |
of these laws is | 2 |
will be recalled that | 2 |
that the spherical surface | 2 |
the range of our | 2 |
the home observer in | 2 |
an address to the | 2 |
can have no effect | 2 |
to locate a point | 2 |
at one of the | 2 |
when there is a | 2 |
space of one negative | 2 |
the world looks like | 2 |
the velocity of its | 2 |
the absence of the | 2 |
will answer that the | 2 |
which of the two | 2 |
to action and reaction | 2 |
the apparent effects of | 2 |
to take up in | 2 |
as good as another | 2 |
a transformation of axes | 2 |
of lorentz and einstein | 2 |
by any mechanical means | 2 |
are you going to | 2 |
in the place of | 2 |
it is impossible to | 2 |
two or three or | 2 |
for the first in | 2 |
from another point of | 2 |
on this phase of | 2 |
waiting to define any | 2 |
modern developments in theoretical | 2 |
of the difference between | 2 |
of the external reality | 2 |
seek a set of | 2 |
a vacuum has a | 2 |
point in space is | 2 |
as lie within the | 2 |
the greatest velocity occurring | 2 |
time and space the | 2 |
when we have formed | 2 |
now come to the | 2 |
speed approaches that of | 2 |
brought about by the | 2 |
deeper insight into the | 2 |
the new theory of | 2 |
to the ether is | 2 |
get different values for | 2 |
we cannot say whether | 2 |
discrepancy between observation and | 2 |
the world is only | 2 |
leave no room for | 2 |
we get a three | 2 |
of the universe and | 2 |
in the real world | 2 |
on the motion of | 2 |
the philosophical theories of | 2 |
body free to move | 2 |
the average of the | 2 |
prepared to say that | 2 |
greatest number of dissenting | 2 |
we are now familiar | 2 |
position of an object | 2 |
come to consider the | 2 |
we should have a | 2 |
observer appears to the | 2 |
a degree never before | 2 |
travel in straight lines | 2 |
portions of the world | 2 |
to the relations of | 2 |
as being at rest | 2 |
velocities with regard to | 2 |
c is the greatest | 2 |
about is relative motion | 2 |
continuum of three dimensions | 2 |
any other and the | 2 |
centre of the sun | 2 |
this is in accord | 2 |
a straight line at | 2 |
of an observer and | 2 |
address delivered on may | 2 |
could not be round | 2 |
to a ray of | 2 |
we seem to have | 2 |
theory is that the | 2 |
one of these is | 2 |
the same as that | 2 |
einstein tells us that | 2 |
if matter and light | 2 |
that it is a | 2 |
have a large number | 2 |
which we call time | 2 |
this is not the | 2 |
could be attributed to | 2 |
the objects to which | 2 |
to the older school | 2 |
the three space dimensions | 2 |
fair to demand that | 2 |
on the adjoining track | 2 |
laws according to which | 2 |
space to which we | 2 |
yet it is not | 2 |
in their famous experiment | 2 |
the question whether two | 2 |
an observer living on | 2 |
because here more than | 2 |
stars of appreciable mass | 2 |
depends entirely upon the | 2 |
to define any physical | 2 |
a and b in | 2 |
which is accessible to | 2 |
the world about him | 2 |
it to be true | 2 |
the invariance of natural | 2 |
a gravitational field of | 2 |
new york to albany | 2 |
displacement of the lines | 2 |
same as in case | 2 |
if we knew nothing | 2 |
is nearer to o | 2 |
the earth attracts the | 2 |
is stationary and the | 2 |
necessary consequence of the | 2 |
inertia of a body | 2 |
mathematical expression of our | 2 |
and that such a | 2 |
and of the mechanism | 2 |
on his own system | 2 |
a on the earth | 2 |
of gravitation and the | 2 |
state of motion is | 2 |
an inertial system is | 2 |
introduction of the copernican | 2 |
to be sought for | 2 |
the causes were thought | 2 |
to be taken in | 2 |
no effect on the | 2 |
a velocity v through | 2 |
of relativity a concise | 2 |
any difference in the | 2 |
was regarded as the | 2 |
and all his apparatus | 2 |
has a definite and | 2 |
negation of this possibility | 2 |
relativity of time and | 2 |
give us our ordinary | 2 |
a simple explanation of | 2 |
a strong gravitational field | 2 |
the direction o m | 2 |
in time and space | 2 |
the inertia of a | 2 |
the royal society and | 2 |
miles per hour he | 2 |
strongly and more successfully | 2 |
attached to the fixed | 2 |
theory of gravitation the | 2 |
of the universe were | 2 |
no longer have the | 2 |
as it ought to | 2 |
to the same conclusions | 2 |
to be compared in | 2 |
the spherical surface is | 2 |
very fact that it | 2 |
the stuff of which | 2 |
the first place he | 2 |
for the limiting case | 2 |
noise was entirely a | 2 |
for the velocity of | 2 |
the medium through which | 2 |
of the manner in | 2 |
existence of an ether | 2 |
such things as lie | 2 |
in uniform rectilinear motion | 2 |
the elapsed time for | 2 |
to the great circles | 2 |
but i do not | 2 |
is seen to be | 2 |
will be the same | 2 |
it is natural to | 2 |
get a euclidean line | 2 |
moving at the rate | 2 |
the identity of the | 2 |
of the space through | 2 |
the law of the | 2 |
and the absence of | 2 |
direction which we thought | 2 |
fact that in the | 2 |
we find that we | 2 |
and current physics and | 2 |
to space and to | 2 |
of axes fixed in | 2 |
particular merit on this | 2 |
of a given body | 2 |
we think of our | 2 |
of sound in air | 2 |
any point on the | 2 |
velocity of light as | 2 |
add one bushel of | 2 |
it will be well | 2 |
for all changes of | 2 |
of the light rays | 2 |
i pass you at | 2 |
with the external world | 2 |
result of which is | 2 |
a piece of paper | 2 |
velocity of rotation of | 2 |
for a system of | 2 |
must be referred to | 2 |
according to the motion | 2 |
this has not been | 2 |
a force at all | 2 |
energy stored up in | 2 |
is known as a | 2 |
and the velocity of | 2 |
we make our measurements | 2 |
is moving through the | 2 |
motions of the earth | 2 |
him the noise was | 2 |
as a distortion of | 2 |
to the fixed stars | 2 |
a rapidly moving body | 2 |
in the solar spectrum | 2 |
k must also hold | 2 |
selection of reference axes | 2 |
is electrical in nature | 2 |
but for the fact | 2 |
we are through with | 2 |
as to how the | 2 |
day of the eclipse | 2 |
to the first system | 2 |
the mystery of the | 2 |
that is not equal | 2 |
the red end of | 2 |
direction different from that | 2 |
the beginning of the | 2 |
a section in one | 2 |
of the general laws | 2 |
of reference which is | 2 |
with reference to axes | 2 |
the expression for d | 2 |
matter and light have | 2 |
system of all possible | 2 |
possible for any line | 2 |
length of a moving | 2 |
world is only to | 2 |
because the world is | 2 |
matter is subject to | 2 |
be transferred to the | 2 |
best discussion of the | 2 |
travel in a straight | 2 |
that we have two | 2 |
as it is called | 2 |
of that part of | 2 |
the definitions and postulates | 2 |
in respect to the | 2 |
four dimensions of the | 2 |
at a point in | 2 |
a very large body | 2 |
the principle that all | 2 |
space and independent time | 2 |
significance of the latter | 2 |
we must have a | 2 |
in its proper place | 2 |
we confine ourselves to | 2 |
force is precisely equivalent | 2 |
along the two arms | 2 |
a body is moving | 2 |
relative motion between two | 2 |
holds good with respect | 2 |
a point on a | 2 |
external reality from the | 2 |
in a form independent | 2 |
to define completely the | 2 |
all objects in the | 2 |
of the human race | 2 |
at a distance of | 2 |
there is no standard | 2 |
in the first case | 2 |
a statement of what | 2 |
are in uniform movement | 2 |
so that when we | 2 |
be a straight line | 2 |
disposition of rigid bodies | 2 |
of the euclidean geometry | 2 |
that this is the | 2 |
which is inherent in | 2 |
to the mass of | 2 |
the fact that an | 2 |
it is reflected back | 2 |
a body in motion | 2 |
the boundaries of the | 2 |
the physical interpretation of | 2 |
of two bodies is | 2 |
with respect to which | 2 |
legs of the journey | 2 |
absolute space and time | 2 |
what it is all | 2 |
us from the stars | 2 |
before the advent of | 2 |
an ellipse rather than | 2 |
these lines of force | 2 |
joint phenomenon of the | 2 |
a representation of the | 2 |
a combination of the | 2 |
at the heads of | 2 |
define completely the position | 2 |
it must not be | 2 |
geometrical properties of the | 2 |
be no doubt that | 2 |
nothing more nor less | 2 |
assume the ether to | 2 |
the same as in | 2 |
and conservation of momentum | 2 |
the competition for the | 2 |
that they are not | 2 |
to confine his attention | 2 |
as to be negligible | 2 |
coming to us from | 2 |
and mass and dimension | 2 |
find that we are | 2 |
has made it clear | 2 |
distortion of the oval | 2 |
shall not attempt to | 2 |
for the mathematical statement | 2 |
that there was no | 2 |
to explain the michelson | 2 |
to be taken as | 2 |
according to this view | 2 |
no matter how we | 2 |
if we did not | 2 |
the minus sign before | 2 |
trinity is in new | 2 |
just as in the | 2 |
the motion of matter | 2 |
that this space is | 2 |
it is impossible by | 2 |
fall to the earth | 2 |
brought out more strongly | 2 |
gravitational and inertial mass | 2 |
of a spherical surface | 2 |
a state of motion | 2 |
is inherent in the | 2 |
greater than that of | 2 |
and space and the | 2 |
phenomenon of the mind | 2 |
relative motion between the | 2 |
hypotheses as to the | 2 |
throw out the space | 2 |
the greatest number of | 2 |
can no longer be | 2 |
of motion of a | 2 |
the line joining it | 2 |
giving us a new | 2 |
laws of nature would | 2 |
but not in the | 2 |
be limited in any | 2 |
constancy of the velocity | 2 |
an abstraction based on | 2 |
the geometry of euclid | 2 |
of the matter in | 2 |
classical ideas on the | 2 |
system is given by | 2 |
one which partakes of | 2 |
here on the earth | 2 |
reference to some framework | 2 |
would be in the | 2 |
a complete system of | 2 |
and its place in | 2 |
that the earth is | 2 |
the key to the | 2 |
set of axes which | 2 |
every possible combination of | 2 |
turned his attention to | 2 |
the same place in | 2 |
merely a relation between | 2 |
offer such a prize | 2 |
so far as any | 2 |
of events is four | 2 |
miles in the same | 2 |
the time it took | 2 |
the shifting of spectral | 2 |
way in which we | 2 |
as in case b | 2 |
analogous to that of | 2 |
for the understanding of | 2 |
there is no essential | 2 |
of the special relativity | 2 |
manner in which einstein | 2 |
borne in mind that | 2 |
like after einstein has | 2 |
an island off the | 2 |
into time and space | 2 |
relatively to the ether | 2 |
interpreted in terms of | 2 |
to any external object | 2 |
we to coordinate the | 2 |
of points in a | 2 |
the winner of the | 2 |
you will find that | 2 |
geometry takes the place | 2 |
geometry on the plane | 2 |
einstein speaks of the | 2 |
is in reality a | 2 |
the investigation of the | 2 |
the action of a | 2 |
and waiting to define | 2 |
the theory of a | 2 |
it will be recalled | 2 |
the result of any | 2 |
so far as this | 2 |
we wish to express | 2 |
the statement of relativity | 2 |
system was at rest | 2 |
was led to the | 2 |
to realize that the | 2 |
it may well be | 2 |
relative to the first | 2 |
geometry of the universe | 2 |
the language of the | 2 |
in the one case | 2 |
far as they could | 2 |
result of any physical | 2 |
theory of relativity and | 2 |
no matter what the | 2 |
both at the same | 2 |
any number of dimensions | 2 |
the earth and its | 2 |
is to be considered | 2 |
the theory of newton | 2 |
the elements of which | 2 |
longer be regarded as | 2 |
the lines were parallel | 2 |
may not be thought | 2 |
effect of the surrounding | 2 |
from the edge of | 2 |
the ground that the | 2 |
away from s on | 2 |
is but a few | 2 |
the geometrical properties of | 2 |
the constant c in | 2 |
when we deal with | 2 |
observer and the externals | 2 |
small as compared to | 2 |
reference frame because in | 2 |
as to the reality | 2 |
get a grip on | 2 |
centrifugal force cited above | 2 |
not produce any difference | 2 |
have a definite system | 2 |
let us consider a | 2 |
just as the velocity | 2 |
line in the figure | 2 |
far as the laws | 2 |
causal relationship between only | 2 |
laws of mechanics are | 2 |
can easily be seen | 2 |
the same results as | 2 |
partakes of any motion | 2 |
this space is that | 2 |
around the sun was | 2 |
a number of essays | 2 |
to the length of | 2 |
a general theory of | 2 |
out more strongly and | 2 |
an observer on a | 2 |
a state of acceleration | 2 |
of the earth around | 2 |
this is what is | 2 |
not so much in | 2 |
by professor william h | 2 |
relationship existing between the | 2 |
on the einstein theories | 2 |
to assume that the | 2 |
are very apt to | 2 |
and time are not | 2 |
come to the conclusion | 2 |
in the following pages | 2 |
conservation of mass and | 2 |
will be realized that | 2 |
the force exerted by | 2 |
the best of the | 2 |
be brought to coincide | 2 |
ray of light from | 2 |
only to be compared | 2 |
the relative velocity of | 2 |
when we look at | 2 |
a great number of | 2 |
will be seen to | 2 |
of relativity has been | 2 |
must be borne in | 2 |
which of two bodies | 2 |
say that there can | 2 |
the system in which | 2 |
of the same sort | 2 |
red end of the | 2 |
introduced into the physical | 2 |
theory of relativity must | 2 |
of a body or | 2 |
in motion with respect | 2 |
it can easily be | 2 |
geometry of the space | 2 |
opinions have been recorded | 2 |
and of all other | 2 |
e with respect to | 2 |
no longer be regarded | 2 |
with the existence of | 2 |
the phenomenon of aberration | 2 |
to a degree never | 2 |
in a euclidean space | 2 |
in which the distance | 2 |
case of light coming | 2 |
a similar way the | 2 |
the mechanism of the | 2 |
point and line and | 2 |
greatest velocity occurring in | 2 |
portion of the mass | 2 |
absolute character of the | 2 |
the eclipse of may | 2 |
the law governing the | 2 |
space and at the | 2 |
next to each other | 2 |
respect to a coordinate | 2 |
in one direction than | 2 |
due to the force | 2 |
we have at last | 2 |
award of the prize | 2 |
amount of energy which | 2 |
invariance of the laws | 2 |
the distribution of the | 2 |
the absolute truth about | 2 |
the concept of absolute | 2 |
form independent of the | 2 |
is well known the | 2 |
no longer in the | 2 |
of the inverse square | 2 |
be able to give | 2 |
the same direction and | 2 |
velocity of the sound | 2 |
in the solar system | 2 |
velocity v through the | 2 |
all changes of coordinates | 2 |
to test the validity | 2 |
in the two cases | 2 |
an acceleration equal to | 2 |
once more to the | 2 |
with its difficulties and | 2 |
that if the space | 2 |
when but years old | 2 |
an observer travelling with | 2 |
tells us that the | 2 |
in terms of something | 2 |
and one in time | 2 |
this curvature by exploring | 2 |
from s on the | 2 |
the practical significance of | 2 |
simultaneity of two events | 2 |
and shall try to | 2 |
we see that this | 2 |
in the contest for | 2 |
exerted by the earth | 2 |
define the length of | 2 |
in conflict with the | 2 |
which it is necessary | 2 |
which simply means that | 2 |
to speak of a | 2 |
we change our axes | 2 |
difference whatever in the | 2 |
accurately it is necessary | 2 |
amount of energy e | 2 |
moving at a speed | 2 |
curvature that of force | 2 |
what is there to | 2 |
seconds of angular distance | 2 |
general theory and its | 2 |
at a precedes that | 2 |
alterations of the measures | 2 |
the condition that the | 2 |
that you have to | 2 |
the three dimensions of | 2 |
is necessary to ascribe | 2 |
space and the nature | 2 |
relativity an address delivered | 2 |
what is the medium | 2 |
world is so constructed | 2 |
to the observer and | 2 |
our block of film | 2 |
of the spectrum in | 2 |
professor henry norris russell | 2 |
been one of the | 2 |
is clear that the | 2 |
is the medium through | 2 |
by direct exploration with | 2 |
in other words we | 2 |
of the motions of | 2 |
we shall have the | 2 |
by the attraction of | 2 |
suppose we have a | 2 |
an intrinsic property of | 2 |
that we can not | 2 |
its most important application | 2 |
we assume that the | 2 |
new view of gravitation | 2 |
the unaccelerated motion of | 2 |
from the earth with | 2 |
the intersections of world | 2 |
arrive at the same | 2 |
by george frederick hemens | 2 |
theory of gravitation and | 2 |
what we call a | 2 |
is in uniform rectilinear | 2 |
merit on this phase | 2 |
his box and its | 2 |
case of the disc | 2 |
thus seen that the | 2 |
the foundation of all | 2 |
temptation to say that | 2 |
observer and the source | 2 |
so small that it | 2 |
the choice of a | 2 |
has had his way | 2 |
two events that occur | 2 |
the quest of the | 2 |
in space is equivalent | 2 |
a direct result of | 2 |
mass of such particles | 2 |
as a direct result | 2 |
the three dimensions which | 2 |
mysterious force of attraction | 2 |
the earth and all | 2 |
earth and the sun | 2 |
the electrical elementary particles | 2 |
off the west coast | 2 |
would be better to | 2 |
number of essays on | 2 |
berlin on january th | 2 |
of elements to which | 2 |
observer in the system | 2 |
velocity occurring in nature | 2 |
in the environment of | 2 |
is not at all | 2 |
shall have to measure | 2 |
by einstein in his | 2 |
to have no influence | 2 |
a few years ago | 2 |
cases in which the | 2 |
in order to measure | 2 |
it cuts our plane | 2 |
to throw out the | 2 |
spaces of the universe | 2 |
shifting of spectral lines | 2 |
is the medium for | 2 |
the first in connection | 2 |
small portions of the | 2 |
for a long time | 2 |
of a much more | 2 |
in contact with the | 2 |
which we thought was | 2 |
to the system in | 2 |
is what is meant | 2 |
assumed to be the | 2 |
the west coast of | 2 |
find that the light | 2 |
the final negation of | 2 |
it would be difficult | 2 |
the man in the | 2 |
the fly relative to | 2 |
relative motion to one | 2 |
c is the velocity | 2 |
is not the only | 2 |
it is not at | 2 |
when we look into | 2 |
wherever there is matter | 2 |
the path over which | 2 |
events that occur in | 2 |
four dimensions may be | 2 |
the possibilities of the | 2 |
system of postulates must | 2 |
distance s between two | 2 |
arguing in favor of | 2 |
thought of as an | 2 |
may be formulated as | 2 |
great ocean of ether | 2 |
matter in universal space | 2 |
to which we are | 2 |
we never observe an | 2 |
light along the two | 2 |
where it cuts our | 2 |
the english solar eclipse | 2 |
with which we have | 2 |
a velocity equal to | 2 |
theory of relativity teaches | 2 |
set bodies in motion | 2 |
space and time and | 2 |
how do we know | 2 |
will reach him in | 2 |
is not equal to | 2 |
cosmic order of magnitude | 2 |
the relative motions of | 2 |
is that the distance | 2 |
to make a single | 2 |
not venture to bring | 2 |
why not light also | 2 |
ether and its consequences | 2 |
mechanism of our contact | 2 |
theory and its surprising | 2 |
nearer to o than | 2 |
bodies which are not | 2 |
this result is not | 2 |
gravitation is the law | 2 |
that one of the | 2 |
to draw an accurate | 2 |
the characteristic property of | 2 |
the essays submitted in | 2 |
universe in which geometry | 2 |
in the newtonian sense | 2 |
define the same length | 2 |
ready and waiting to | 2 |
which holds good with | 2 |
to the idea of | 2 |
who are interested in | 2 |
in any way so | 2 |
academy of sciences in | 2 |
older theory of relativity | 2 |
in our block of | 2 |
we shall presently see | 2 |
are not interfered with | 2 |
exactly in the same | 2 |
a complete history of | 2 |
to make our observations | 2 |
paper on this subject | 2 |
in motion and the | 2 |
we should have no | 2 |
in which it was | 2 |
difficulties and the manner | 2 |
no essential difference between | 2 |
new light on the | 2 |
the place of the | 2 |
shown on the photographic | 2 |
perihelion of the orbit | 2 |
if we do not | 2 |
indicated that the ether | 2 |
can be said in | 2 |
only a finite number | 2 |
they do to us | 2 |
but if we have | 2 |
we are to make | 2 |
at a meeting of | 2 |
bushel of wheat to | 2 |
light coming to us | 2 |
but as part of | 2 |
in the geometry of | 2 |
its difficulties and the | 2 |
simple explanation of his | 2 |
the facts of the | 2 |
the earth or the | 2 |
agree that we know | 2 |
constituted that uniform straight | 2 |
so that if you | 2 |
the composition of velocities | 2 |
concepts of space and | 2 |
the object of the | 2 |
set of elements to | 2 |
practical significance of relativity | 2 |
in the physical universe | 2 |
way in which the | 2 |
which the earth is | 2 |
embedded in a jelly | 2 |
details of its conduct | 2 |
in terms of a | 2 |
path of the ray | 2 |
never be able to | 2 |
half the speed of | 2 |
a tree yards high | 2 |
if the solar system | 2 |
than usual in a | 2 |
evident a statement about | 2 |
be no holes in | 2 |
are not so to | 2 |
elements of some sort | 2 |
the beam of light | 2 |
the measurement of space | 2 |
the effect is that | 2 |
to pass from one | 2 |
formed the abstract ideas | 2 |
just because of the | 2 |
it is a question | 2 |
the hypotenuse equals the | 2 |
at this point we | 2 |
the invariance of the | 2 |
by an observer on | 2 |
the same number of | 2 |
to formulate the theory | 2 |
in inverse proportion to | 2 |
in place of the | 2 |
does not have to | 2 |
that the things which | 2 |
proportional to the motive | 2 |
to us from the | 2 |
no difference as regards | 2 |
current physics and astronomy | 2 |
of the conservation of | 2 |
relation to each other | 2 |
if we have a | 2 |
in the end he | 2 |
seven miles in the | 2 |
is equivalent to the | 2 |
that it shall be | 2 |
small as to escape | 2 |
and inversely proportional to | 2 |
some of the details | 2 |
of the fourth dimension | 2 |
we now come to | 2 |
definite result has been | 2 |
the new concepts of | 2 |
a s o b | 2 |
sense of practical geometry | 2 |
and the path of | 2 |
it turns out to | 2 |
the sphere of gravitation | 2 |
body in the universe | 2 |
to return to the | 2 |
form the basis of | 2 |
for any other system | 2 |
of the mercury column | 2 |
an introductory discussion of | 2 |
the idea of motion | 2 |
the concepts of space | 2 |
is to show that | 2 |
with the utmost care | 2 |
experience an expanded form | 2 |
between two points is | 2 |
the same nature as | 2 |
is the expression of | 2 |
that it does not | 2 |
the horse in pulling | 2 |
from those of the | 2 |
the principle of general | 2 |
an address delivered on | 2 |
the earth is the | 2 |
at the cost of | 2 |
not agree with those | 2 |
the path of least | 2 |
that gravitation could be | 2 |
case of the general | 2 |
ever proportional to the | 2 |
that according to the | 2 |
law which has been | 2 |
compared to the time | 2 |
three mutually perpendicular planes | 2 |
royal society and the | 2 |
the displacement at the | 2 |
the block of film | 2 |
the mercury column and | 2 |
to the ether theory | 2 |
of the special and | 2 |
is at rest and | 2 |
admit the lorentz transformation | 2 |
there will be a | 2 |
the realm of observation | 2 |
of the ratio of | 2 |
and its most important | 2 |
at the basis of | 2 |
the four coordinates of | 2 |
have reached the same | 2 |
an influence exercised by | 2 |
with the cause of | 2 |
coordinates and nothing more | 2 |
not so constituted as | 2 |
as well as those | 2 |
must be prepared to | 2 |
there has been no | 2 |
we deny the relation | 2 |
a change in the | 2 |
if we take our | 2 |
the motion of an | 2 |
to this theory the | 2 |
in a vacuum has | 2 |
that the line is | 2 |
that it is possible | 2 |
of motion is concerned | 2 |
of the stuff of | 2 |
values of the g | 2 |
of the ray is | 2 |
essay in the contest | 2 |
the speediest messenger with | 2 |
produce any difference whatever | 2 |
confirmed by the english | 2 |
euclidean space and independent | 2 |
and that the two | 2 |
velocity of its source | 2 |
shown in the fifth | 2 |
the properties of an | 2 |
it is unfortunate that | 2 |
the revolution introduced into | 2 |
which the theory of | 2 |
inertial mass and gravitational | 2 |
call attention to the | 2 |
in its motion around | 2 |
of any particle in | 2 |
fixed with respect to | 2 |
space and time to | 2 |
relative velocity of the | 2 |
address to the prussian | 2 |
the solar system in | 2 |
the tree and the | 2 |
move with an acceleration | 2 |
there will be no | 2 |
light was a wave | 2 |
any one set of | 2 |
has nothing to do | 2 |
deflected from their course | 2 |
are not so constituted | 2 |
a transformation of coordinates | 2 |
the results of these | 2 |
toward the red end | 2 |
are not going to | 2 |
a great deal of | 2 |
so that it is | 2 |
and the final negation | 2 |
the principle of equivalence | 2 |
by the transfer of | 2 |
axes at any point | 2 |
he will conclude that | 2 |
an instant of time | 2 |
according to the principle | 2 |
we have a large | 2 |
of light by gravitation | 2 |
axes of x and | 2 |
to say that there | 2 |
describe the motion of | 2 |
two points on the | 2 |
drawn on the surface | 2 |
has already been pointed | 2 |
orbits of planets round | 2 |
to be thought of | 2 |
of the eclipse expedition | 2 |
his way with it | 2 |
and line and plane | 2 |
or more of them | 2 |
motion is ever proportional | 2 |
bears the same relation | 2 |
the squares on the | 2 |
it could not be | 2 |
invariance of natural law | 2 |
which it was possible | 2 |
light is subject to | 2 |
degree never before equalled | 2 |
aspect of the matter | 2 |
at the same velocity | 2 |
conceive of it as | 2 |
of the fly relative | 2 |
that the acceleration is | 2 |
the cause of many | 2 |
with which it explained | 2 |
is no way of | 2 |
adduced in favour of | 2 |
of the philosophy of | 2 |
that is not interfered | 2 |
it is thus seen | 2 |
of what we mean | 2 |
perfectly good system of | 2 |
system moving with uniform | 2 |
point out that the | 2 |
of any sort whatever | 2 |
s o b s | 2 |
light from the sun | 2 |
and in no sense | 2 |
is often said that | 2 |
two miles per hour | 2 |
say that space is | 2 |
that of the earth | 2 |
with half the speed | 2 |
this is due to | 2 |
and to consider pure | 2 |
deny the relation between | 2 |
order to measure the | 2 |
different reference frame because | 2 |
basic law of mechanics | 2 |
the motion of any | 2 |
the space through which | 2 |
region it is impossible | 2 |
swimmer will answer that | 2 |
that we know what | 2 |
not conform to the | 2 |
on the earth would | 2 |
copernican system of the | 2 |
relatively to the observer | 2 |
assume that he is | 2 |
for an observer on | 2 |
given by euclidean geometry | 2 |
of the fixed stars | 2 |
by permission from science | 2 |
west coast of africa | 2 |
through the ether at | 2 |
apparent possibility of absolute | 2 |
would lead to the | 2 |
systems are equivalent for | 2 |
means by a point | 2 |
substituted the second for | 2 |
amounts to the same | 2 |
man in the street | 2 |
theory to the test | 2 |
we know what we | 2 |
obtain the same result | 2 |
to the time it | 2 |
that the relativity of | 2 |
the winning essay in | 2 |
the great ocean of | 2 |
things as lie within | 2 |
that if a man | 2 |
the possibility that the | 2 |
has been obtained that | 2 |
the velocity through the | 2 |
studies dealing with the | 2 |
be borne in mind | 2 |
an absolute reference frame | 2 |
professor of physics at | 2 |
the world of four | 2 |
coordinate system k must | 2 |
two points a and | 2 |
can in fact be | 2 |
ether is at rest | 2 |
the answer to this | 2 |
the theory that the | 2 |
of time and distance | 2 |
of gravitation and inertia | 2 |
we say that it | 2 |
absolute time and space | 2 |
at the head of | 2 |
the relativity of time | 2 |
be supposed to be | 2 |
the consequences of the | 2 |
which we will now | 2 |
of energy in motion | 2 |
compared in extent and | 2 |
medium for the waves | 2 |
so far as their | 2 |
within the realm of | 2 |
but will define the | 2 |
a definite and constant | 2 |
this world of events | 2 |
that space is infinite | 2 |
fundamental concepts of physics | 2 |
of the spherical surface | 2 |
which we should have | 2 |
of the constancy of | 2 |
any difference whatever in | 2 |
planets round the sun | 2 |
right angles to this | 2 |
principle of general relativity | 2 |
in the equations of | 2 |
part of the world | 2 |
nature of the gravitational | 2 |
of the four coordinates | 2 |
so far as we | 2 |
the electric and magnetic | 2 |
direction of relative motion | 2 |
and even in the | 2 |
of the planets around | 2 |
that we are at | 2 |
completely the position of | 2 |
reference to the ground | 2 |
obtain the motion of | 2 |
which would account for | 2 |
us to say that | 2 |
proportional to the square | 2 |
so that in any | 2 |
an apple falls from | 2 |
as the bearer of | 2 |
to fix the position | 2 |
his apparatus will not | 2 |
horse in pulling a | 2 |
inherent in the nature | 2 |
that the waves set | 2 |
see that this is | 2 |
know what we mean | 2 |
if we deny the | 2 |
it should be possible | 2 |
be expressed in terms | 2 |
source and the observer | 2 |
say that the earth | 2 |
indifferent to hypotheses as | 2 |
one of the stars | 2 |
observer does not know | 2 |
on a footing of | 2 |
light must be regarded | 2 |
of the earth with | 2 |
and if he were | 2 |
we have formed the | 2 |
the old laws are | 2 |
at rest in a | 2 |
we are very apt | 2 |
from a study of | 2 |
it must be borne | 2 |
we were to discover | 2 |
of the propagation of | 2 |
the elementary particles of | 2 |
it is fair to | 2 |
the nature of a | 2 |
sets of four measurements | 2 |
is in order to | 2 |
have no influence upon | 2 |
the earth it will | 2 |
a lively sense of | 2 |
ascribe to each point | 2 |
and space and matter | 2 |
or three or five | 2 |
the gravitational pull of | 2 |
velocity of the observer | 2 |
the growth of the | 2 |
may very well be | 2 |
fact is that the | 2 |
of the ether hypothesis | 2 |
does not mean that | 2 |
this would lead to | 2 |
nature which holds good | 2 |
a warping of space | 2 |
for the investigation of | 2 |
equations of the electromagnetic | 2 |
confine his attention to | 2 |
the difference in time | 2 |
two rays of light | 2 |
uniform rectilinear motion with | 2 |
by traversing a path | 2 |
in the first and | 2 |
as a whole the | 2 |
equal to one another | 2 |
with regard to this | 2 |
law of the inverse | 2 |
the statement of the | 2 |
who are in relative | 2 |
usual in a popular | 2 |
that in any small | 2 |
the contents of the | 2 |
all his apparatus will | 2 |
dissenting opinions have been | 2 |
space of two dimensions | 2 |
is the postulate of | 2 |