 ... of the opposite parts. All of the ten formulas just listed can easily be derived from these rules. Oblique Spherical Triangles.— Formulas for the solution of oblique spherical triangles are developed from those for right spherical triangles. The...  Navigation New Modelled - Side 231av Henry Wilson - 1761 - 528 siderUten tilgangsbegrensning - Om denne boken
 | William Emerson - 1749 - 214 sider
...a Perpendicular dividing it into two right angled Triangles. PROP. XXIX. In any fpherical Triangle, the Sines of the Sides are proportional to the Sines of their oppoßte Angles. 43' . On AB, AF let fall the Perpendiculars FH, В I i then by Prop. XXVI. S.AF:S.FH... | |
 | Edward Riddle - 1824 - 572 sider
...identical with those which have been directly demonstrated. PROPOSITION XVI. In any spherical triangle the sines of the sides are proportional to the sines of their opposite angles. In the right angled spherical triangle ABC (see the last figure) we have (Prop. 15... | |
 | William Galbraith - 1834 - 454 sider
...from the equator EQ, or the declination, as it is usually called. Now, since in spherical trigonometry the. sines of the sides are proportional to the sines of their opposite angles, Therefore, As sine ABC or radius . . . 10.000000 Is to sine BAC 23° 27 40" . . .... | |
 | Roswell Park - 1841 - 722 sider
...are measured as arcs, by the number of degrees which they subtend, at the centre of the sphere. In spherical triangles, the sines of the sides are proportional to the sines of the opposite angles. In a right angled spherical triangle, if we omit the right angle, we have five... | |
 | Roswell Park - 1847 - 632 sider
...are measured as arcs, by the number of degrees which they subtend, at the centre of the sphere. In spherical triangles, the sines of the sides are proportional to the sines of the opposite angles. In a right angled spherical triangle, if we omit the right angle, we have five... | |
 | Charles Davies, Adrien Marie Legendre - 1885 - 538 sider
...FORMULAS U8ED IN 8OLVING OBLIQUE-ANGLED 8PHERICAL TRIANGLEa 78. To show that, in a spherical triangle, the sines of the sides are proportional to the sines of their opposite angles. Let ABC represent an oblique-angled spherical triangle. From any vertex, as C, draw... | |
 | Webster Wells - 1887 - 200 sider
...SPHERICAL OBLIQUE TRIANGLES. GENERAL PROPERTIES OP SPHERICAL TRIANGLES. 155. In any spherical triangle, the sines of the sides are proportional to the sines of their opposite angles. О Let ABC be any spherical triangle, and draw the arc CD perpendicular to AB. There... | |
 | Webster Wells - 1896 - 308 sider
...OBLIQUE SPHERICAL TRIANGLES. GENERAL PROPERTIES OF SPHERICAL TRIANGLES. 151. In any spherical triangle, the sines of the sides are proportional to the sines of their opposite angles. FIG. 1. Let ABC be any spherical triangle, and draw the arc CD perpendicular to AB.... | |
 | James William Nicholson - 1898 - 204 sider
...[96], or [97] may be put in the form of a proportion, as shl о : sin b : : sin A : sin B. That is, in spherical triangles, the sines of the sides are proportional to the sines of the opposite angles, which property is called the Law of Sines. 143. Relation of the half of one angle... | |
 | University of Cambridge - 1838 - 496 sider
...all the values of (a3)*. Exhibit the values of the product (a3)* . (63)* which are possible. 17. In spherical triangles the sines of the sides are proportional to the sines of the opposite angles. 18. In a right-angled spherical triangle, having given the side subtending, and... | |
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