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 15
Side 6
... preceding figure ) , and FG the tangent of the angle A , or arch : EF ( Vid . Def . 3 . and 9. ) ; then , by reafon of the fimilarity of the triangles ABC , AFG , it will be , AB BC :: AF : FG . Q E. D. - you is made Note , In the ...
... preceding figure ) , and FG the tangent of the angle A , or arch : EF ( Vid . Def . 3 . and 9. ) ; then , by reafon of the fimilarity of the triangles ABC , AFG , it will be , AB BC :: AF : FG . Q E. D. - you is made Note , In the ...
Side 11
... preceding cafe , and an opp . an- then it will be , fin . C : AB :: gle C fin . ABC : AC ( by Theor . III . ) Two fides The other As fum of AB and AC : their AC , AB and angles Cd tang . of half the fum of the included and ABC ABC and C ...
... preceding cafe , and an opp . an- then it will be , fin . C : AB :: gle C fin . ABC : AC ( by Theor . III . ) Two fides The other As fum of AB and AC : their AC , AB and angles Cd tang . of half the fum of the included and ABC ABC and C ...
Side 15
... preceding corollary , we have these two useful theorems . 1. If the fine of the mean , of three equidifferent arches ( fuppofing radius unity ) be multiplied by twice the co - fine of the common difference , and the fine of either ...
... preceding corollary , we have these two useful theorems . 1. If the fine of the mean , of three equidifferent arches ( fuppofing radius unity ) be multiplied by twice the co - fine of the common difference , and the fine of either ...
Side 16
... fhew the manner of conftructing the trigonome- trical canon . Firft , find the fine of an arch of one minute , by the preceding Prop . and then its co - fine , by X Prop . te , JAA by p . Prop . 1. which 161 Conftruction of the Table.
... fhew the manner of conftructing the trigonome- trical canon . Firft , find the fine of an arch of one minute , by the preceding Prop . and then its co - fine , by X Prop . te , JAA by p . Prop . 1. which 161 Conftruction of the Table.
Side 20
... the fines of all the arches , to every mi- nute , between 59 ° 15 ′ and 60 ° 00 ' ; thofe of the two extremes being first found , by the preceding method . method . In this cafe , the two extremes , 20 Conftruction of the Table.
... the fines of all the arches , to every mi- nute , between 59 ° 15 ′ and 60 ° 00 ' ; thofe of the two extremes being first found , by the preceding method . method . In this cafe , the two extremes , 20 Conftruction of the Table.
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