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
| Benjamin Greenleaf - Geometry - 1863 - 502 pages
...the arc BC is the measure of the angle of these planes, or the measure of the angle CAB. 535. Cor. 1. The angles of spherical triangles may be compared...from their vertices as poles, and included between tljeir sides ; hence it is easy to make an angle of this kind equal to a given angle. 536. Cor. 2.... | |
| Adrien Marie Legendre - Geometry - 1863 - 464 pages
...of the angle CAB ; which was to be proved. Cor. 1. The angles of spherical triangles may be compared by means of the arcs of great circles described from...vertices as poles, and included between their sides. A spherical angle can always be constructed equal to a given spherical angle. Cor. 2. Vertical angles,... | |
| Benjamin Greenleaf - Geometry - 1868 - 340 pages
...of the angle CAB. 535. Cor. 1. The angles of spherical triangles may be compared together, by meaiis of the arcs of great circles described from their...make an angle of this kind equal to a given angle. 536. Cor. 2. Vertical angles, such as A 0 C and B0D, are equal ; for each of them . is equal to the... | |
| Elias Loomis - Geometry - 1871 - 302 pages
...or the angle BAD. Cor. 1. Angles of spherical triangles may be compared with each other by means of arcs of great circles described from their vertices as poles, and included between their sides ; and thus an angle can easily be made equal to a given angle. Cor. 2. If two arcs of great circles... | |
| Charles Davies - Geometry - 1872 - 464 pages
...of the angle CAB; which was to be proved. Cor. I. The angles of spherical triangles may be com pa1od by means of the arcs of great circles described from....vertices as poles, and included between their sides. A spherical angle can always be constructed equal to a given spherical angle. Cor. 2. Vertical angles,... | |
| Adrien Marie Legendre - Geometry - 1874 - 500 pages
...the angle CAB ; which was to be proved. Cor. 1. The angles of spherical triangles may be com pared by means of the arcs of great circles described from...vertices as poles, and included between their sides. A spherical angle can always be constructed equal to a given spherical angle. Cor. 2. Vertical angles,... | |
| Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...of the angle CAB ; which was to be proved. Cor. 1. The angles of spherical triangles may be compared by means of the arcs of great circles described from...vertices as poles, and included between their sides. A spherical angle can always be constructed equal to a given spherical angle. Cor. 2. Vertical angles,... | |
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