 ... into the tri-rectangular triangle. From one of the vertices A, let diagonals AC, AD, be drawn to all the other vertices ; the polygon ABCDE will be divided into as many triangles, minus two, as it has sides. But the surface of each triangle is measured...  A Treatise on Coal Mining - Page 1by International Correspondence Schools - 1900Full view - About this book
 | Adrien Marie Legendre - Geometry - 1828 - 346 pages
...angle. THEOREM. 505. The surface of a spherical polygon is measured by the sum of all its angles, minus two right angles multiplied by the number of sides in the polygon less two. From one of the vertices A, let diagonals AC, AD be drawn to all the other vertices ; the polygon ABCDE... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...PROPOSITION XXI. THEOREM The surface of a spherical polygon is measured by the sum of all its angles,m\n\is two right angles multiplied by the number of sides in the polygon less two, into the tri-rectangular triangle. From one of the vertices A, let diagonals AC, AD be drawn to all... | |
 | Adrien Marie Legendre - Geometry - 1838 - 382 pages
...PROPOSITION XXI. THEOREM The surface of a spherical polygon is measured by the sum of all its angles, minus two right angles multiplied by the number of sides in the polygon lessee, into the tri-rectangular triangle. From one of the vertices A, let dingonals AC, AD be drawn... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...XXIII. THEOREM. The surface of a spherical polygon is measured by the sum of all its angles, minus two right angles multiplied by the number of sides in the polygon less two, into the tri-rectangular triangle. From one of the vertices A, let diagonals AC, AD, be drawn to all... | |
 | Nathan Scholfield - Geometry - 1845 - 506 pages
...PROPOSITION XXIH. THEOREM. The surface of a spherical polygon is measured by the sum of all its angles, minus two right angles multiplied by the number of sides in the polygon less two, into the tri-rectangular triangle. From one of the vertices A, let diagonals AC, AD, be drawn to all... | |
 | Nathan Scholfield - 1845 - 894 pages
...XXIII. THEOREM. The surface of a spherical polygon is measured by the sum of all its angles, minus two right angles multiplied by the number of sides in the polygon less too, into llie tri-rectangvlar triangle. From one of the vertices A, let diagonals AC, AD, be drawn... | |
 | International Correspondence Schools - Electrical engineering - 1897 - 672 pages
...shown in Fig. 20. Pentagon. Hexagon. Heptagon. Octagon. FIG. S6. Decagon. Dodecagon. FIG. 27. 703. The sum of all the interior angles of any polygon equals two right angles, multiplied by a number which is two less than the number of sides in the polygon. Thus, AB CD EF, Fig. 27, is a polygon... | |
 | International Correspondence Schools - Surveying - 1898 - 518 pages
...regular polygons are shown in Fig. 25. Pentagon Hexagon Heptayon Octagon Decagon Dodecagon FIo. as. 38. The sum of all the interior angles of any polygon equals two right angles, multiplied by a number which is two less than the number of sides of the polygon. Thus, A BCDEF, Fig. 26, is a polygon... | |
 | International Correspondence Schools - Civil engineering - 1899 - 722 pages
...regular polygons are shown in Fig. 25. Pentagon Hexagon Heptagon Octagon Decagon Dodecagon FIG. 25. 38. The sum of all the interior angles of any polygon equals two right angles, multiplied by a number which is two less than the number of sides of the polygon. Thus, AB CDEF, Fig. 26, is a polygon... | |
 | 1900 - 728 pages
...polygons are shown in Fig. 26. Pentagon. Hexagon. Heptagon. Octagon. FIG. 26. Decagon. Dodecagon. 703. The sum of all the interior angles of any polygon equals two right angles, multiplied by a number which is two less than the number of sides in the polygon. Thus, ABCDEF, Fig. 27, is a polygon... | |
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