The First Three Sections of Newton's Principia

A₁ Acbr AD² angular velocity arc AB)² arc Acb area ABD area area AKa area described axis major body moves center of force centripetal force chord of curvature circle of curvature conic section curvature of PQ curve curvilinear area curvilinear figure described round diameter of curvature diminished indefinitely ellipse find the law finite angle force tending Hence hyperbola L. R. BD latus rectum law of force LEMMA limit QR limiting ratio magnitude motion move parallel orbit described parabola parallel to SP parallelograms polygon QR a subtense QR QR quantity or ratio radius round a center sagitta SCHOLIUM similar triangles sin² small arc SP sp ST JOHN'S COLLEGE straight line subtense parallel tangent PR triangles ABR ultimately equal ultimately vanishes