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" ... point of intersection, as a pole, and limited by the sides, produced if necessary. Let the angle BAC be formed by the two arcs AB, AC ; then... "
Higher Geometry and Trigonometry: Being the Third Part of a Series on ... - Page 14
by Nathan Scholfield - 1845 - 232 pages
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...in which case, the centres and the point of contact lie in the same straight line. THEOREM. i 471. The angle formed by two arcs of great circles, is equal to the angle formed by the tangents of these arcs at their point of intersection, and is measured by the arc described from this point of intersection,...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...pole with which a perpendicular to AM may be described passing through the point P. PROPOSITION VI. THEOREM. The angle formed by two arcs of great circles, is equal to the angle formed by the tangents nf these arcs at their point of intersection, and is measured by the arc described from this point...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1837 - 372 pages
...may be described passing through the point P. PROPOSITION VI. THEOREM. The angle formed by two area of great circles, is equal to the angle formed by the tangents oftliese arcs at their point of intersection, and is measured by the arc described from this point...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 384 pages
...pole with which a perpendicular to AM may be described passing through the point P. PROPOSITION VI. THEOREM. The angle formed by two arcs of great circles,...equal to the angle formed by the tangents of these arcs at their point of intersection, and is measured by the arc described from this point of intersection,...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 386 pages
...perpendicular to AM may be described passing through the point P. PROPOSITION VI. THEOREM. The angle fanned by two arcs of great circles, is equal to the angle formed by trie tangents of these arcs at their point of intersection, and is measured by the arc described from...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 896 pages
...at its extremity A. Any point M in this plane being assumed, and OM, AM being joined, the angle 0AM will be right, and hence the distance OM will be greater...by the sides, produced if necessary. Let the angle BAG be formed by the two arcs AB, AC ; then it will be equal to the angle FAG formed by the tangents...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845
...in which case, the centres and the point of contact lie in the same straight line. PROPOSITION VIH. THEOREM. The angle, formed by two arcs of great circles,...by the sides, produced if necessary. Let the angle BAG be formed by the two arcs AB, AC ; then it will be equal to the A angle FAG formed by the tangents...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 308 pages
...and the point of contact lie in the same straight line. • '•'.•',.' ' ii ** , PROPOSITION XXI. THEOREM. The angle formed by two arcs of great circles...equal to the angle formed by the tangents of these arcs at the point of intersection, and is therefore measured by the arc described from the point of...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...declination and in right ascension of a star, and various other useful relations of a similar kind. PROP. IV. The angle formed by two arcs of great circles is equal to the angle contained by the tangents drawn to these arcs at their point of intersection, and is measured by the...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 384 pages
...pole with which a perpendicular to AM may be described passing through the point P. PROPOSITION VI. THEOREM. The angle formed by two arcs of great circles,...equal to the angle formed by the tangents of these, arcs at their point of intersection, and is measured by the arc described from this point of intersection,...
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