Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 81
1. As the equation gives y=-^j2px\ that is,for every value of y two values of x, numerically equal, it fol-lows that the axis PXbisects all diameters parallel Xo FY. Observe that 2p may be called the parameter of the axis FX. Corollary 2. The squares of the ordinates of any diameter areto each… … Scholium. Projectiles, if not disturbed hy the resistance of theatmosphere, would describe parabolas. Let Q be the origin of a projectile thrownin any direction as OP. Undisturbed bythe atmosphere and by gravity it would con-tinue in that line, describing equal spaces inequal times. But gravity…
Geometry, Analytic · Calculus
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