 | 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 - 394 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 - 376 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 - 372 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 - 382 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 - 894 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 - 542 pages
...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 - 326 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 - 372 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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... 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... 
