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 sider |
Inni boken
Resultat 1-5 av 10
Side 4
... diameter paffing through the other extremity . Thus BF is the fine of the arch AB or DB . 7. The verfed fine of an arch is the part of the diameter intercepted between the fine and the pe- riphery . Thus AF is the verfed fine of AB ...
... diameter paffing through the other extremity . Thus BF is the fine of the arch AB or DB . 7. The verfed fine of an arch is the part of the diameter intercepted between the fine and the pe- riphery . Thus AF is the verfed fine of AB ...
Side 5
... diameter intercepted between the center and fine ; and is equal to the fine of the complement of that arch . Thus CF is the co - fine of the arch AB , and is equal to BI , the fine of its comple- ment HB . * 9. The tangent of an arch is ...
... diameter intercepted between the center and fine ; and is equal to the fine of the complement of that arch . Thus CF is the co - fine of the arch AB , and is equal to BI , the fine of its comple- ment HB . * 9. The tangent of an arch is ...
Side 24
... diameter AB be the interfection of the great - circles ADB and ACB ( fee Corol . 1. ) and let the plane , or great - circle , DEC be conceived per- pendicular to that diameter , interfecting the sur- face of the sphere in the arch CD ...
... diameter AB be the interfection of the great - circles ADB and ACB ( fee Corol . 1. ) and let the plane , or great - circle , DEC be conceived per- pendicular to that diameter , interfecting the sur- face of the sphere in the arch CD ...
Side 25
... tangent of the base . DEMONSTRATION . D E B F H Let ADL and AEL be two great - circles of the sphere interfecting each other in the diameter AL , making K making an angle DOE , measured by the arch ED Spherical Trigonometry . 25.
... tangent of the base . DEMONSTRATION . D E B F H Let ADL and AEL be two great - circles of the sphere interfecting each other in the diameter AL , making K making an angle DOE , measured by the arch ED Spherical Trigonometry . 25.
Side 26
... diameter AL , at the center Q. Let AB be the base of the propofed triangle , BC the perpendicular , AC the hypothenuse , and BAC ( or DAE DE DOE ) the angle at the base : moreover , let CG be the fine of the hypo- thenufe , AK its ...
... diameter AL , at the center Q. Let AB be the base of the propofed triangle , BC the perpendicular , AC the hypothenuse , and BAC ( or DAE DE DOE ) the angle at the base : moreover , let CG be the fine of the hypo- thenufe , AK its ...
Vanlige uttrykk og setninger
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