Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S.F. Wingrave, successor to Mr. Nourse, 1799 - 79 pages |
From inside the book
Results 1-5 of 7
Page 9
... alfo a right angle ( by Cor . 3. to 10. 1. ) and the tangent of АС + АСЬ radius . There- fore in this cafe our ... known . As the leffer of the propofed fides ( Ab or AB ) is to the greater ( AC ) , fo is radius to the tangent of an ...
... alfo a right angle ( by Cor . 3. to 10. 1. ) and the tangent of АС + АСЬ radius . There- fore in this cafe our ... known . As the leffer of the propofed fides ( Ab or AB ) is to the greater ( AC ) , fo is radius to the tangent of an ...
Page 11
... alfo known , the angle A will be found by Cafe 2. of right - angles . Note , Note , The 2d and 3d cafes are ambiguous , Plane Trigonometry . .1 II.
... alfo known , the angle A will be found by Cafe 2. of right - angles . Note , Note , The 2d and 3d cafes are ambiguous , Plane Trigonometry . .1 II.
Page 12
... alfo the verfed fine AF , ― will 1 will be known . Then because of the fimilar triangles 12 Conftruction of the Table.
... alfo the verfed fine AF , ― will 1 will be known . Then because of the fimilar triangles 12 Conftruction of the Table.
Page 36
... alfo known ; then ( by Carol . to Theor . 2. ) as co - fine AD : co - fine BD :: co fine 4C : co - fine BC . As rad . co - fine Atang . AC : tang . AD ( by Theor . 1. ) whence BD is known ; then ( by Cor . to Theor . 4. ) as fine BD ...
... alfo known ; then ( by Carol . to Theor . 2. ) as co - fine AD : co - fine BD :: co fine 4C : co - fine BC . As rad . co - fine Atang . AC : tang . AD ( by Theor . 1. ) whence BD is known ; then ( by Cor . to Theor . 4. ) as fine BD ...
Page 37
... alfo known ; then ( by Cor . to Theor . 3. ) as fine ACD : fiue BCD co - fine A : co - fine B. As rad . : co - fine AC : : tang . A : co - tang . ACD ( by Theor . 5. ) whence BCD is alfo known ; then as co - fine of BCD : co - fine ACD ...
... alfo known ; then ( by Cor . to Theor . 3. ) as fine ACD : fiue BCD co - fine A : co - fine B. As rad . : co - fine AC : : tang . A : co - tang . ACD ( by Theor . 5. ) whence BCD is alfo known ; then as co - fine of BCD : co - fine ACD ...
Common terms and phrases
5th rem AB by Theor AC by Theor AC-BC AC+BC adjacent angle alfo alfo known alfo let alſo arch bafe baſe becauſe bifecting cafe chord circle co-f co-fecant co-fine AC co-tangent of half common logarithm confequently COROL COROLLARY diameter dius equal to half excefs fame fecant fecond feries fhall fides AC fince fines firft firſt fpherical triangle ABC fquare fubtracted fupplement fuppofed garithms gles great-circles half the difference half the fum half the vertical Hence hyperbolic logarithm hypothenufe interfect laft leffer leg BC likewife LUKE HANSARD moreover oppofite angle pendicular perpendicular plane triangle ABC progreffion PROP propofed proportion radius reafon refpectively right-angled spherical triangle right-line ſhall ſphere tang tangent of half THEOREM theſe thofe Trigonometry verfed vertical angle whence whofe