Essays on several curious and useful subjects, in speculative and mix'd mathematicks : illustrated by a variety of examples (1740)
Simpson, Thomas, 1710-1761, Adams, John, 1735-1826, former owner. BRL, John Adams Library (Boston Public Library) BRL · London : Printed by H. Woodfall, jun. for J. Nourse ... · leaf 130
where, by taking the Square Root on each Side,we have P^xP^xPc, ^c, =:A0^4-P0«. C O R O L. II. BU T if C comes into A; then A being == o, and O y^= A0, AO^^ —20/^xA0^-xP0^=P^2 X Vbj ^ (^c, will therefore become AO^^.-.2AO^ x PO^* ( 1^7 )PO^ + PO*^ =P^2 xP/52 xPt:2, ^c. And P^ X C O R O L. III.… … foever) and if in the Radius O A, produced thro A,any one of the Points of Divifion, a Point as P be affu-med any where, either within or without the Circle, PAx PCxPExPG, ^c. will be= AO^c/3PO*> PBxPDxPFxPH, &c. sAC^+PC, and PA xPBxPCxPDxPE, efc. =AO^wPO^. Hh PROPe ( ii8 ) Of the Reduction…
Celestial mechanics · Calculus · Astronomy
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