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 Bøker Bok 1–10 av 20 på In Every Spherical Triangle, the Sines of the Angles are Proportional to the Sines... In Every Spherical Triangle, the Sines of the Angles are Proportional to the Sines of their. Opposite Sides. If, from the first of the equations marked... A Course of Mathematics ...: Composed for the Use of the Royal Military ... - Side 92
av Charles Hutton - 1811
Uten tilgangsbegrensning - Om denne boken ## Nine Geometricall Exercises: For Young Sea-men, and Others that are Studious ...

William Leybourn - 1704 - 192 sider
...being demonftrated, will clear. THEOREM I. In any Spherical Triangle, whether Right or Oblique-angled. The Sines of the Angles are Proportional^ to the Sines of their cffofite Sides : & contra. This is demonftrared in Sett. i. Chap. 4, of Right-fined Trm-. gles, and...
Uten tilgangsbegrensning - Om denne boken ## A Course of Mathematics: For the Use of Academies as Well as ..., Volum 2

Charles Hutton - 1812
...b . sin c . cos A 1 cos 6 = cos a . cos c -j- sin a . sin c . cos B v (I.) cos c -- cos a . cos b + sin a . sin b . cos c J THEOREM VII. In Every Spherical...sides. If, from the first of the equations marked 1, the value of cos A be drawn, and substituted for it in the equation sin2 A = 1 — cos2 A, we shall...
Uten tilgangsbegrensning - Om denne boken ## A Course of Mathematics ...: For the Use of Academies, as Well as ..., Volum 2

Charles Hutton - 1816
...cos c -f- sin a . sin c . cos H v (I. cos e a™ cos a . cos l> + sin a . sin b . cos c J THEOREM VH. In Every Spherical Triangle, the Sines of the Angles...be drawn, and substituted for it. in the equation sin* A «= 1 — cos* A, we shall have . cos* i + *-o** b cos' c— 5 cosn co« A. rose sin* A = 1...
Uten tilgangsbegrensning - Om denne boken ## A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volum 2

Charles Hutton - 1818
...с -j- sin a . sin с . cos в \ (I. cos с = cos a . cos 6 + sin a . sin 6 . cos с ) THEOREM Vn. r In Every Spherical Triangle, the Sines of the Angles are Proportional to the-Sines of their Opposite sides. If, from the first of the equations marked 1 , the value of cos...
Uten tilgangsbegrensning - Om denne boken ## A Course of Mathematics for the Use of Academies: As Well as ..., Volum 2

Charles Hutton - 1826
...+ sin a . sin c . co« B > (1.) cos c = cos a . cos 6 -j- ai« a . tin b . cos c ) THEOREM VII. ID Every Spherical Triangle, the Sines of the Angles are Proportional to the Sines of iheir Opposite sides. If, from the first of the equations marked 1. the value of cos A be drawn, and...
Uten tilgangsbegrensning - Om denne boken ## An elementary treatise on astronomy

John Farrar - 1827
...and the side PS, the complement of the declination, opposite to the angle PP'S, or 90 — Z; and as, in every spherical triangle, the sines of the angles are proportional to the sines of the opposite sides, this proportionality will give, in the case before us, cos I cos I cos a = ; —...
Uten tilgangsbegrensning - Om denne boken ## A Complete Course of Pure Mathematics, Volum 2

Louis-Benjamin Francœur - 1830
...thus the 1st must continue constant, and we shall have sin A __ sin В _ sin С sin a sin b sin с In every spherical triangle, the sines of the angles are proportional to the sines of the opposite sides. According to the property of the supplemental triangle, change, in equ. (3), a...
Uten tilgangsbegrensning - Om denne boken ## A Course of Mathematics: For the Use of Academies, as Well as ..., Volum 2

Charles Hutton - 1831
...6 •» cos a . cos c + sin a . sin c . cos B > (I.) cos c = cos a . cos b + sin o . sin 6 . cos cj THEOREM VII. In every spherical triangle, the sines...and substituted for it in the equation sin1 A — 1 — cos1 A, we shall have _:_> . _. i _ cos3 a -f ro»2 b . rnff c— 2 ens « . cos /; . ro« e fin*...
Uten tilgangsbegrensning - Om denne boken ## A Course of Mathematics: For the Use of Academies as Well as Private Tuition ...

Charles Hutton - 1831
...a . cos c + sin a . sin c . cos B > (I.) cos c = cos a . cos b -f- sin a . sin 6 . cos c J THtOKEM VII. In every spherical triangle, the sines of the...and substituted for it in the equation sin1 A = 1 — cos" A, we shall have • j •. cos3 n + cos-' 6 . cm* c— 2rosn . en* b . ro«e sin A - I t«*t.tm*e...
Uten tilgangsbegrensning - Om denne boken ## An Elementary Treatise on Astronomy: Adapted to the Present Improved State ...

John Farrar - 1834 - 462 sider
...not commonly observed, and which only serves to connect our two triangles. The process is simple, for in every spherical triangle the sines of the angles are proportional to the siws of the opposite sides. Thus, in our triangle ZP8 referred to the . sin P' . sin Z' true places,...
Uten tilgangsbegrensning - Om denne boken