Elements of Natural Philosophy, Part 1 |
From inside the book
Results 1-5 of 21
Page 3
... general varies ; and , at the same time , the plane in which the curvature lies is
turning about the tangent to the curve . ... an arc of a plane curve , is the angle
through which the tangent has turned as we pass from one extremity to the other .
... general varies ; and , at the same time , the plane in which the curvature lies is
turning about the tangent to the curve . ... an arc of a plane curve , is the angle
through which the tangent has turned as we pass from one extremity to the other .
Page 15
SZ is perpendicular to the direction of motion PY , and thus the circular locus of Z
is the hodograph turned through a right angle about S in the plane of the orbit . If
APB be a parabola , ÀY is a straight line . But if another point U be taken in YS ...
SZ is perpendicular to the direction of motion PY , and thus the circular locus of Z
is the hodograph turned through a right angle about S in the plane of the orbit . If
APB be a parabola , ÀY is a straight line . But if another point U be taken in YS ...
Page 16
... which a planet receives heat and light from the sun varies in simple proportion
to the angular velocity of the radius - vector . Hence the whole heat and light
received by the planet in any time is proportional to the whole angle turned
through ...
... which a planet receives heat and light from the sun varies in simple proportion
to the angular velocity of the radius - vector . Hence the whole heat and light
received by the planet in any time is proportional to the whole angle turned
through ...
Page 17
Hence the arc of Pl , described in any time , is proportional to the corresponding
angle - vector in the orbit , i.e. to the angle through which the tangent to PQ has
turned . Hence ( § 9 ) the curvature of PQ is constant , or PQ is a circle .
Hence the arc of Pl , described in any time , is proportional to the corresponding
angle - vector in the orbit , i.e. to the angle through which the tangent to PQ has
turned . Hence ( § 9 ) the curvature of PQ is constant , or PQ is a circle .
Page 18
Hence B's path about A is A's about B turned through two right angles . And with
regard to G and G ' it is evident that the directions remain the same , while the
lengths are altered in a given ratio ; but this is the definition of similar curves . 66.
Hence B's path about A is A's about B turned through two right angles . And with
regard to G and G ' it is evident that the directions remain the same , while the
lengths are altered in a given ratio ; but this is the definition of similar curves . 66.
What people are saying - Write a review
We haven't found any reviews in the usual places.
Other editions - View all
Common terms and phrases
acceleration according acting action amount angle angular applied attraction axes axis body called centre centre of inertia circle component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium evidently experience expression figure fixed fluid force friction give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire
Bibliographic information
| Title | Elements of Natural Philosophy, Part 1 Volume 23 of A library of universal literature. Science Clarendon Press series Nineteenth Century Collections Online (NCCO): Science, Technology, and Medicine: 1780-1925 |
| Authors | William Thomson Baron Kelvin, Peter Guthrie Tait |
| Publisher | Clarendon Press, 1873 |
| Original from | the New York Public Library |
| Digitized | 24 May 2011 |
| Length | 279 pages |
| Export Citation | BiBTeX EndNote RefMan |