| 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,... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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