## Elements of Natural Philosophy |

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Page 8

Hence the

represented by the third side , OC , of the triangle DAC . Hence if a point have , at

the såme time , velocities represented by OA , AC , and Co , the sides of a ...

Hence the

**resultant**of any two velocities as QA , AC , in the bgure , is a velocityrepresented by the third side , OC , of the triangle DAC . Hence if a point have , at

the såme time , velocities represented by OA , AC , and Co , the sides of a ...

Page 10

... to the square of the velocity divided by the radius of curvature . The whole

acceleration will , in every case , be the

measuring change of direction , and the acceleration of actual yelocity along the

curve 40 .

... to the square of the velocity divided by the radius of curvature . The whole

acceleration will , in every case , be the

**resultant**of the acceleration thusmeasuring change of direction , and the acceleration of actual yelocity along the

curve 40 .

Page 13

The moment of the

the components is equal to the algebraic sum of the moments of the components

, the proper sign of each moment depending on the direction of motion about ...

The moment of the

**resultant**velocity of a par . ticle about any point in the plane ofthe components is equal to the algebraic sum of the moments of the components

, the proper sign of each moment depending on the direction of motion about ...

Page 17

We may compound this with the ( equally calculable ) velocity of the earth in its

orbit . This

Vol . 23 – 2 of the sun relatively to the so - called fixed KINEMATICS . .

We may compound this with the ( equally calculable ) velocity of the earth in its

orbit . This

**resultant**again we may compound with the ( roughly - known ) velocityVol . 23 – 2 of the sun relatively to the so - called fixed KINEMATICS . .

Page 19

... whatever with reference to a second point B ; if B executes any other motion

with reference to a third point C ; and so on the first is said to execute , with

reference to the last , a movement which is the

movements .

... whatever with reference to a second point B ; if B executes any other motion

with reference to a third point C ; and so on the first is said to execute , with

reference to the last , a movement which is the

**resultant**of these severalmovements .

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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