 | Harvard University - 1876 - 554 pages
...6. The angle of two ores of great circles is equal to the angle of their planes, and is measured by the arc of a great circle described from its vertex as a pole and included between its sides (produced if necessary). 7. In two polar triangles, each angle of one... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...an~ gle formed by the tangents of those arcs at the point of their intersection, and is measured by the arc of a great circle described from its vertex as a pole, and included between its sides. Let BAD be an angle formed by two arcs of great circles ; then will... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...the angle of two arcs of great circles has the same measure as the dihedral of their planes, or as the arc of a great circle described from its vertex as a pole, and included between its sides (produced, if necessary). COR. 2. If two arcs of great circles cut each... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...arc of a second great circle of a sphere, passes through the poles of the second arc (P. III.. C. 3). The measure of a spherical angle is the arc of a great circle included between the sides of the angle and at the distance of a quadrant from its vertex (P. IV.).... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...41, The angle of two arcs of great circles is equal to the angle of their planes, and is measured by the arc of a great circle described from its vertex as a pole and included between its sides (produced if necessary'). Let AB and AB' be two arcs of great circles,... | |
 | William Chauvenet - 1893 - 340 pages
...41. The angle of two arcs of great circles is equal to the angle of their planes, and is measured by the arc of a great circle described from its vertex as a pole and included between its sides (produced if necessary). Let AB and AB' be two arcs of great circles,... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 154 pages
...of two triangles minus a third. PROPOSITION VII. THEOREM. *\ 263. A spherical angle is measured by the arc of a great circle described from its vertex as a pole and included between its sides (produced if necessary). Notation. Let AB, AC be two arcs of great circles... | |
 | George Albert Wentworth - Geometry - 1894 - 456 pages
...the angle is called a spherical angle. PROPOSITION X. THEOREM. 722. A spherical angle is measured by the arc of a great circle described from its vertex...included between its sides (produced if necessary). D ,f Let AB, AC be arcs of great circles intersecting: at A; AB' and AC', the tangents to these arcs... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...the centres of the surfaces and whose centre is in that line. 722. A spherical angle is measured by the arc of a great circle described from its vertex as a pole and included between its sides (produced if necessary). 723. Cor. A spherical angle has the same measure... | |
 | Mathematics - 1898 - 228 pages
...of two arcs of great circles on a sphere is equal to the angle of their planes, and is measured by the arc of a great circle described from its vertex as a pole and included between its sides (produced if necessary). 5. Find the volume of the earth's atmosphere,... | |
| |
A spherical angle is measured by the arc of a great circle described from its vertex as a pole, and included between its sides, produced if necessary. 
