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 8
Side 7
... fide is to the fine of its oppofite angle , fo is any other fide to the fine of its oppofite angle . For take CF = B AB , and upon AC let fall the perpen- diculars BDand FE ; which will be the fines of the angles F A and C to the equal ...
... fide is to the fine of its oppofite angle , fo is any other fide to the fine of its oppofite angle . For take CF = B AB , and upon AC let fall the perpen- diculars BDand FE ; which will be the fines of the angles F A and C to the equal ...
Side 11
... fide AC by the 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 ...
... fide AC by the 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 ...
Side 36
... fide AB The other fide BC Either of the other angles , fuppofe B Solution . As fine BC : fine A :: fine AC : fine B ( by Cor . 1. to Theor . 1. ) Note , This cafe is ambiguous when BC is lefs than AC ; fince it cannot be determined from ...
... fide AB The other fide BC Either of the other angles , fuppofe B Solution . As fine BC : fine A :: fine AC : fine B ( by Cor . 1. to Theor . 1. ) Note , This cafe is ambiguous when BC is lefs than AC ; fince it cannot be determined from ...
Side 37
... fide AC be- twixt them Two angles A , ACB and the 7 fide AC be- twixt them Two angles A , 8 B and a fide AC oppofite to one of them Sought The other angle B Either of the other fides , fuppofe BC The fide BC oppofite the other Solution ...
... fide AC be- twixt them Two angles A , ACB and the 7 fide AC be- twixt them Two angles A , 8 B and a fide AC oppofite to one of them Sought The other angle B Either of the other fides , fuppofe BC The fide BC oppofite the other Solution ...
Side 60
... A C In the leffer fide CA , produced , take CD = CB , fo that AD may be the difference of the two fides ; and let BD be B drawn : then it is mani- feft that the angle CBD will be equal to D : but · ( by Theor . 5. p . 8. ) AB + AD : AB ...
... A C In the leffer fide CA , produced , take CD = CB , fo that AD may be the difference of the two fides ; and let BD be B drawn : then it is mani- feft that the angle CBD will be equal to D : but · ( by Theor . 5. p . 8. ) AB + AD : AB ...
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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