Trigonometry, Plane and Spherical;: With the Construction and Application of LogarithmsJ. Nourse, bookseller in ordinary to his Majesty., 1765 - 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 . 2 E. D. Note , In the quotations where you ...
... 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 . 2 E. D. Note , In the quotations where you ...
Side 11
... preceding cafe , and then it will be , fin . C : AB :: fin . ABC : AC ( by Theor . III . ) an opp . an- gle C Two fides The other As sum of AB and AC : their AC , AB and angles C dif . :: tang . of half the sum of the included and ABC ...
... preceding cafe , and then it will be , fin . C : AB :: fin . ABC : AC ( by Theor . III . ) an opp . an- gle C Two fides The other As sum of AB and AC : their AC , AB and angles C dif . :: tang . of half the sum of the included and ABC ...
Side 15
... preceding corollary , we have thele two useful theorems . 1. If the fine of the mean , of three equidifferent arches ( Suppofing radius unity ) be multiplied by twice the co - fine of the common difference , and the jing of either ...
... preceding corollary , we have thele two useful theorems . 1. If the fine of the mean , of three equidifferent arches ( Suppofing radius unity ) be multiplied by twice the co - fine of the common difference , and the jing of either ...
Side 16
... fhew the manner of constructing the trigonome- trical canon . Firft , find the fine of an arch of one minute , by the preceding Prop . and then its co - fine , by Prop . Prop . 1. which let be denoted by C ; 16 Conftruction of the Table.
... fhew the manner of constructing the trigonome- trical canon . Firft , find the fine of an arch of one minute , by the preceding Prop . and then its co - fine , by Prop . Prop . 1. which let be denoted by C ; 16 Conftruction of the Table.
Side 20
... the fines of all the arches , to every mi- nute , between 59 ° 15 ′ and 60 ° oo ' ; those of the two extremes being firft 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 ° oo ' ; those of the two extremes being firft found , by the preceding method . method . In this cafe , the two extremes , 20 Conftruction of the Table.
Andre utgaver - Vis alle
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1748 |
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1765 |
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1765 |
Vanlige uttrykk og setninger
4th rem AC by Theor AC-BC AD² adjacent angles AE² alſo known arch baſe becauſe bifecting cafe chord circle co-fecant co-fine AC co-tangent of half common logarithm confequently COROL COROLLARY defcribed diameter dius E. D. PROP equal to half excefs exceſs faid fame fecant fecond feries fhall fides AC fince fines firft firſt fpherical triangle ABC fquare fubtracted fupplement fuppofed garithms gent of half given gles great-circles half the bafe half the difference half the fum half the vertical Hence hyperbolic logarithm hypothenufe interfect itſelf laft leffer leg BC likewife moreover pendicular perpendicular plane triangle ABC progreffion propofed proportion radius refpectively right-angled Spherical triangle right-line ſhall ſphere ſpherical tang tangent of half THEOREM thofe thoſe Trigonometry verfed vertical angle whence whofe