Elements of mechanics: treated by means of the differential and integral calculus (1887)
Peck, William G[uy], 1820-1892. [from old catalog] · New York, Chicago, A. S. Barnes & company · leaf 198
f we suppose x2 < 4A2 — 4%, CURVILINEAR AND ROTARY MOTION. 193 the point (x\ y), will lie within the parabola just described,the quantity under the radical sign will be positive, andthere will be two real values of tan a, and, consequently,two angles of projection, under either of which the… … B 211 Fig. 117. Let the parabola BLB represent the curve whose equa-tion is xn = 4A2 — 4/iy. Conceive it to be revolved about A JO, as an axis generat-ing a paraboloid of revolution. Then, from what has preced-ed, we conclude, first, that every point lying within thesurface may be reached from A,…
Mechanics
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