The angles of spherical triangles may be compared together, by means of the arcs of great circles described from their vertices as poles and included between their sides : hence it is easy to make an angle of this kind equal to a given angle. Elements of Geometry and Trigonometry - Page 231by Adrien Marie Legendre - 1852 - 432 pagesFull view - About this book
| Adrien Marie Legendre - Geometry - 1819 - 574 pages
...of the angle CAB. 472. Corollary. The angles of spherical triangles may be compared with each other by means of the arcs of great circles, described from their vertices as poles and comprehended between their sides ; thus it is easy to make an angle equal to a given angle. r, jjfr... | |
| Adrien Marie Legendre - Geometry - 1822 - 394 pages
...; hence the arc DE is the measure of the angle contained by these planes, or of the angle CAB. Cor. The angles of spherical triangles may be compared...make an angle of this kind equal to a given angle. Scholium. Vertical angles, such as ACO and BCN (see the figure of Prop. 22. VII.) are equal ; for either... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...of the angle CAB. 472. Corollary. The angles of spherical triangles may be compared with each other by means of the arcs of great circles, described from their vertices as poles and comprehended between their sides ; thus it is easy to make an angle equal to a given angle. 473. Scholium.... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...: hence the arc DE is the measure of the angle contained by these planes, or of the angle CAB. Cor. The angles of spherical triangles may be compared...poles and included between their sides : hence it u easv to make an angle of this kind eaual to a given angle. Scholium. Vertical angles, such as AGO... | |
| Adrien Marie Legendre - Geometry - 1837 - 376 pages
...: hence the arc DE is the measure of the angle contained by these planes, or of the angle CAB. Cor. The angles of spherical triangles may be compared...make an angle of this kind equal to a given angle. Scholium. Vertical angles, such as ACO and BCN are equal ; for either of them is still the angle formed... | |
| Adrien Marie Legendre - Geometry - 1841 - 288 pages
...of the angle CAB. 472. Corollary. The angles of spherical triangles may be compared with each other by means of the arcs of great circles, described from their vertices as poles, and comprehended between their sides ; thus it is easy to make an angle equal to a given angle. 473. Scholium.... | |
| Nathan Scholfield - 1845 - 894 pages
...angle contained by the planes OAB, OAC ; which is that of the arcs AB, AC, H and is named BAG. Cor. The angles of spherical triangles may be compared...make an angle of this kind equal to a given angle. Scholium. Vertical angles, such as AGO and BCN (see diagram to Prop. XXI.) are equal ; for either of... | |
| Nathan Scholfield - Conic sections - 1845 - 244 pages
...: hence the arc DE is the measure of the angle contained by these planes, or of the angle CAB. Cor. The angles of spherical triangles may be compared...make an angle of this kind equal to a given angle. Scholium. Vertical angles, such as AGO and BCN (see diagram to Prop. XXI.) are equal ; for either of... | |
| Nathan Scholfield - Conic sections - 1845 - 542 pages
...: hence the arc DE is the measure of the angle contained by these planes, or of the angle CAB. Cor. The angles of spherical triangles may be compared...make an angle of this kind equal to a given angle. Scholium. Vertical angles, such as ACO and BCN (see diagram to Prop. XXI.) are equal ; for either of... | |
| George Roberts Perkins - Geometry - 1847 - 326 pages
...angle contained by these planes, or of the angle CAB. Cor., The angles of spherical triangles maybe compared together, by means of the arcs of great circles...make an angle of this kind equal to a given angle. SckoL. Vertical angles, such as ACO and BCN are equal ; for either of them is still the angle formed... | |
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