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 34
ppofeSRindefinitely near S P,and the Area AS/?2equal to the Area PSR i draw S B and HG perpendicular tothe given TangentB P G , and R ifand m n to S P andA F refpeaively: Let r be the Diftance that a Body wouldfreely defcend in any given Time, m^ by an uniform Force,equal to that aifeding the… … . ( 22 ) Reaum, or ^, R ; SP, d; PR, x-, the Periodic Time, P,.and the Sine of S P B, to the Radius i, s : Then it will be asI : 5 :: .V : J .V = R ^ J whence -^ (= R / X ^ j will exprefseither of the infinitely fmall equal x4.reas PSR, ;;; S A : Andit will be as v : m :: >: : ^ the Time of the…
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-335-226.webp)
![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-340-231.webp)
![An illustration from Sidereus nuncius : magna, longeque admirabilia spectacula pandens, suspiciendaque proponens vnicuique, praesertim verò philosophis, atq[ue] astronomis, quae à Galileo Galileo ... perspicilli nuper à se reperti beneficio sunt obseruata in lunae facie, fixis innumeris, lacteo circulo, stellis nebulosis, apprime verò in quatuor planetis circa Iouis stellam disparibus interuallis, atque periodis, celeritate mirabili circumuolutis; quos, nemini in hanc vsque diem cognitos, nouissimè author depraehendit primus; atque Medicea sidera nuncupandos decreuit (1610)](https://img.insideoutlibrary.com/img/200/ia-sidereusnunciusm00gali-31-11.webp)