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" 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 231
by Adrien Marie Legendre - 1852 - 432 pages
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Elements of Geometry

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...
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Elements of Geometry and Trigonometry: With Notes

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...
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Elements of Geometry

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....
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Elements of Geometry and Trigonometry

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...
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Elements of Geometry and Trigonometry

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...
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Elements of Geometry

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....
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

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...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

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...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

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...
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Elements of Geometry: With Practical Applications ...

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...
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