![](https://books.google.cat/books/content?id=8q4XAAAAIAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | Benjamin Greenleaf - 1863 - 504 pàgines
...cos a = -^OC* + ~W "* A' ' Substituting the functions derived from the triangles 0 A' O A' O, we have cos a = cos b cos c -)- sin b sin c cos A. In like manner may be deduced cos b = cos c cos a -)- sin c sin a cos B, cos c = cos a cos b -)- sin... | |
![](https://books.google.cat/books/content?id=cWMSAAAAIAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | Jean-Baptiste-Charles-Joseph Bélanger - 1864 - 348 pàgines
...trois angles plans a, b, e d'un angle dièdre et de l'angle dièdre A opposé à la face a, . savoir : cos a = cos b cos c + sin b sin c cos A en faisant « = T, 6 = « et c = j3+-, ce qui donne 0 = —cos y. sin j3 -f- sin a. cos j3 cos A, d'où... | |
![](https://books.google.cat/books/content?id=ZQE5AAAAMAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | Franz Brünnow - 1865 - 592 pàgines
...we have found in No. 2, we get the following formulae, which are true for every spherical triangle : cos a = cos b cos c + sin b sin c cos A gin a sin B = sin .•'• sin I sin o cos-B= cosi sin r. — sin i cos c cos A. These are the three... | |
![](https://books.google.cat/books/content?id=m_UN-Cmm81AC&printsec=frontcover&img=1&zoom=5&edge=curl) | Saturnino Montojo - 1865 - 302 pàgines
...Q,6a= 90°. De esta fórmula («) podremos ya deducir por la permutacion indicada (39) las siguientes cos a = cos b cos c + sin b sin c cos A \ cos b = cos c cos a + sin c sin a cos B > («, „) cos c = cos a cos b + sin a sin b cos C ,•... | |
![](https://books.google.cat/books/content?id=iPuWhYH3d10C&printsec=frontcover&img=1&zoom=5&edge=curl) | Franz Brünnow - 1865 - 584 pàgines
...we have found in No. 2, we get the following formulae, which are true for every spherical triangle : cos a = cos b cos c -+- sin b sin c cos A sin a sin 5 = sin b sin, A sin a cos B = cos b sin c — sin b cos c cos A. These are the three principal... | |
![](https://books.google.cat/books/content?id=7z0DAAAAQAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | James Robert Christie - 1866 - 428 pàgines
...adjacent parts. (2) Sine of middle part = product of cosines of opposite parts. In any spherical triangle, cos a= cos b, cos c — sin. b, sin c. cos A ; . . sin(*-6)sin(se) , sins, sin (*-a) Sin * A = - -. - ; - : - I COS * A = - T - . — : - : am b... | |
![](https://books.google.cat/books/content?id=1z0DAAAAQAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | Samuel H. Winter - 1867 - 468 pàgines
...c cos A. Sin A : sin B : sin C : : sin a : sin b : sin c. Cot a sin b = cot A sin C + cos b cos C ; cos A = — cos B cos C + sin B sin C cos a. Sin i A = A / J»in(,-*)sin(,-C)) CQS ^ A = \/ \ sm b sin c } I /sin s sin (sa) \ ;tanJLA_ / ism (sb)am... | |
![](https://books.google.cat/books/content?id=4Ao4AAAAMAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | Joseph Wolstenholme - 1867 - 368 pàgines
...y" + a9 - 2ya cOS <f> i , 0+^ + ,/r=o prove that y3y sin 0 + ya sin <^> + a/3 sin if/ = 0. 297. If cos A + cos B cos C + sin B sin C cos A = 0, then will tan ^45° ± ^\ tan ^45" - |) tan ^45° - £) = - 1 ; and if cos A = cos B cos C ±... | |
![](https://books.google.cat/books/content?id=e34AAAAAMAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | Lefébure de Fourcy (M., Louis Etienne) - 1868 - 350 pàgines
...b' cos d -f sin V sin d cos A'. But sin a'=s!n A, cos a' = — cos A, sin b' = sin B, &c. Hence — cos A = cos B cos C + sin B sin C cos A ' From this equation we get for cos A' a value equal and with a contrary sign to that which equation... | |
![](https://books.google.cat/books/content?id=ADYDAAAAQAAJ&printsec=frontcover&img=1&zoom=5&edge=curl) | William Rossiter - 1868 - 186 pàgines
...(axb) ' = coi Ç «fa * С"~6) 2 si» à (a + 6) (8.) coi a si-» c = cos c cos В + sin В coi A. For, cos a = cos b cos c + sin b sin c cos A ; also, cos 6 = cos c cos a + sin c sin a cos В ; substituting the value of cos b for cos b, in the... | |
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