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 127
al ProduB of theSquares of all thofe Lines will be equal to A O ^ :i=AO^- X 20i^ xOP^^-f PO^- PUT A O = to I, P O = to ^, A P ^ =zto iu^x\^ V,Ok = io b, 2m = to n, and the Square of any oneof the Chords A a, Ab, Ac, Ad, &c. equal to zi Then,fince any one of the correfponding Arcs A a, Ab, Abe,… … Fropofition that ^z^ ^nz 2 Z n—^ OT^3 z^ ^, ^c, continued to m Terms, is = A C % orbecaufe AC* is = 2 + 2/^ (ABxA^)it will be 5; ^ n z m—I 4. nx^^^z n—; ^ m—22 nx—^x-r^z ^ 2 3 • • • • • ^2 + 2^ = o, let z ftand for the Square of which of thofeChords you will : Wherefore, the Roots of this…
Celestial mechanics · Calculus · Astronomy
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-349-240.webp)
