## Elements of Natural Philosophy, Part 1 |

### From inside the book

Page 12

When the acceleration is directed to a fixed point , the path is in a

through that point ; and in this

are proportional to the times employed . This includes the case of a satellite or ...

When the acceleration is directed to a fixed point , the path is in a

**plane**passingthrough that point ; and in this

**plane**the areas traced out by the radius - vectorare proportional to the times employed . This includes the case of a satellite or ...

Page 13

0 thus the point moves in the

proposition we must make a slight digression . 46. The Moment of a velocity or of

a force about any point is the product of its magnitude into the perpendicular from

the ...

0 thus the point moves in the

**plane**. For the proof of the second part of theproposition we must make a slight digression . 46. The Moment of a velocity or of

a force about any point is the product of its magnitude into the perpendicular from

the ...

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

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 . IfAPB be a parabola , ÀY is a straight line . But if another point U be taken in YS ...

Page 16

We may also speak of the angular velocity of a moving

fixed one , as the rate of increase of the angle contained by them ; but unless

their line of intersection remain fixed , or at all events parallel to itself , a

somewhat ...

We may also speak of the angular velocity of a moving

**plane**with respect to afixed one , as the rate of increase of the angle contained by them ; but unless

their line of intersection remain fixed , or at all events parallel to itself , a

somewhat ...

Page 19

Whatever motions , whether in a

given to A and B , P will evidently be subjected to half A. D their resultant . 69.

Amongst the most important classes of motions which we have to consider in

Natural ...

Whatever motions , whether in a

**plane**, or in space of three dimensions , begiven to A and B , P will evidently be subjected to half A. D their resultant . 69.

Amongst the most important classes of motions which we have to consider in

Natural ...

### 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