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 - 208 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 - 367 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 - Geometry - 1825 - 224 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 - 359 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 - 359 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 - 235 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
...: 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 - 308 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... | |
| |