## Elements of Natural Philosophy |

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Page 3

... or the angle between the first and last sides , is then the sum of its exterior

angles , all the sides being produced , each in the direction in which the behibits

what we musing ang moving point describes it while passing round the

... or the angle between the first and last sides , is then the sum of its exterior

angles , all the sides being produced , each in the direction in which the behibits

what we musing ang moving point describes it while passing round the

**figure**. Page 4

moving point describes it while passing round the

polygon be closed or not . If closed , then , as long . as it is not crossed , this sum

is four right angles , - an extension of the result in Euclid , where all reëntrant ...

moving point describes it while passing round the

**figure**. This is true whether thepolygon be closed or not . If closed , then , as long . as it is not crossed , this sum

is four right angles , - an extension of the result in Euclid , where all reëntrant ...

Page 8

... are virtually equivalent to the following obvious geometrical construction : To

compound any two velocities as OA , OB in the

represents in magnitude and direction the space which would be described in

one ...

... are virtually equivalent to the following obvious geometrical construction : To

compound any two velocities as OA , OB in the

**figure**; where OA , for instance ,represents in magnitude and direction the space which would be described in

one ...

Page 13

But ABD , a part of this

therefore the remainder , OAD , is equal to the sum of the two half - moments . But

OAD is half the moment of the A resultant velocity round the point O . Hence the ...

But ABD , a part of this

**figure**, is equal to half the area of the parallelogram ; andtherefore the remainder , OAD , is equal to the sum of the two half - moments . But

OAD is half the moment of the A resultant velocity round the point O . Hence the ...

Page 15

The hodograph surrounds its origin ( as the

ellipse , passes through it when the orbit is a parabola , and the origin is without

the hodograph if the orbit is a hyperbola . 52 . A reversal of the demonstration of $

51 ...

The hodograph surrounds its origin ( as the

**figure**shows ] if the orbit be anellipse , passes through it when the orbit is a parabola , and the origin is without

the hodograph if the orbit is a hyperbola . 52 . A reversal of the demonstration of $

51 ...

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### 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 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 period perpendicular plane portion position potential practical pressure principle produce projection proportional quantity radius reference relative remain remarkable resistance respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity vertical weight whole wire