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 54
E S, EC, S;?, and madeSD perpendicular to ECD, take the Arch EH equal to SD,and the Arch A a equal to S C. Then, the Sedor ECHbeing equal to the Triangle ECS, ACH A will be equalto A S E A ; inafmuch as the former of thofe Areas is com-pounded of the Sedor ACE and ECH, and the latterof the fame… … ( 42 ) inftead of A SEA, its Equal be fubftltuted, we fhall havCj.as ACHA : AEBA :: A;2SA : knBA-, but ACHAis to AEBA, as the Arch AH to A E B, the Semi-Cir-cumference j and therefore it will be, as A;^B A : A^zSA-:: A E B : AH: Wherefore fince the Areas A;2BA, AtiSA,defcribed by F.adii drawn to S,…
Celestial mechanics · Calculus · Astronomy
Internet Archive · Boston Public Library · Public Domain Mark 1.0. Free to use for anything.
![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-317-209.webp)
