Trigonometry, Plane and Spherical;: With the Construction and Application of LogarithmsJ. Nourse, bookseller in ordinary to his Majesty., 1765 - 79 sider |
Inni boken
Side 3
... equal parts . 2. The periphery of every circle is supposed to be divided into 360 equal parts , called degrees ; and each degree into 60 equal parts , called mi- nutes ; and each minute into 60 equal parts , called feconds , or fecond ...
... equal parts . 2. The periphery of every circle is supposed to be divided into 360 equal parts , called degrees ; and each degree into 60 equal parts , called mi- nutes ; and each minute into 60 equal parts , called feconds , or fecond ...
Side 5
... 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 a right - line touching the circle in one extremity of that ...
... 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 a right - line touching the circle in one extremity of that ...
Side 7
... equal radii AB and CF. A D E Now the triangles CBD , CFE being fimilar , we have CB : BD ( fin . A ) : CF ( AB ) : FE ( fin . C ) . Q. E. D. THEOREM iv . As the bafe of any plane triangle ABC , is to the fum of the two fides , fo is the ...
... equal radii AB and CF. A D E Now the triangles CBD , CFE being fimilar , we have CB : BD ( fin . A ) : CF ( AB ) : FE ( fin . C ) . Q. E. D. THEOREM iv . As the bafe of any plane triangle ABC , is to the fum of the two fides , fo is the ...
Side 8
... equal to half the fum of the angles op- pofite to the fides propofed . Moreover , fince ABC = ABD ( ADB ) + DBC , and C = ADB DBC ( by 9. 1. ) it is plain that ABC - C is = 2DBC ; or that DBC is equal to half the difference of the fame ...
... equal to half the fum of the angles op- pofite to the fides propofed . Moreover , fince ABC = ABD ( ADB ) + DBC , and C = ADB DBC ( by 9. 1. ) it is plain that ABC - C is = 2DBC ; or that DBC is equal to half the difference of the fame ...
Side 9
... equal , each to each , it will be ( by equa- АБС + АСЬ : tang . Abc - ACb lity ) , as tang . 2 2 ABC + ACB ABC ACB tang . : tang . But , 2 2 if CAb be fuppofed a right - angle , then will A & C + ACb alfo a right - angle ( by Cor . 3 ...
... equal , each to each , it will be ( by equa- АБС + АСЬ : tang . Abc - ACb lity ) , as tang . 2 2 ABC + ACB ABC ACB tang . : tang . But , 2 2 if CAb be fuppofed a right - angle , then will A & C + ACb alfo a right - angle ( by Cor . 3 ...
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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