## Principia: Sections I, II, III |

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accelerating effect acted action angle angular attraction axes axis base becomes body center of force centripetal force chord chord of curvature circle circular constant continually corresponding curvature curve cycloid described determine diameter difference diminished direction distance draw drawn eccentricity ellipse equal extremity figure finite fixed focus follows force tending given gravity hence hyperbola increased indefinitely intersection joining Lemma length less limit magnitude major axis mass measure meet motion move orbit parabola parallel parallelograms particle passing periodic perpendicular plane polygon portions position produced projected Prop proportional proposition prove quantities radii radius ratio rectum represented respectively rest resultant revolving shew sides similar space spiral square straight line string subtense supposed tangent tension triangle ultimately uniform vanishes varies varies inversely velocity volume