| Robert Mudie - Mathematics - 1836 - 542 pages
...the angles of all the triangles are equal to all the angles of the figure ; therefore, again, all the **angles of the figure are equal to twice as many right angles** wanting four as the figure has sides. We are now in possession of all the more important elementary... | |
| Robert Mudie - Mathematics - 1836 - 524 pages
...the angles of all the triangles are equal to all the angles of the figure ; therefore, again, all the **angles of the figure are equal to twice as many right angles** wanting four as the figure has sides. We are now in possession of all the more important elementary... | |
| Euclid - Geometry - 1837 - 410 pages
...angle ABC, and the adjacent exterior ABD, are together equal (I. 13.) ^o two right angles ; therefore **all the interior, together with all the exterior angles...figure, are equal to twice as many right angles as** there are sides "" B~ of the figure ; that is, by the foregoing corollary, they are equal to all the... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...interior angle ABC, with its adjacent exterior ABD, is equal to two right angles (1. 13) ; therefore **all the interior, together with all the exterior angles of the figure, are equal to twice as many right** 5angles as there are sides of the figure ; that is, by the foregoing corollary, they are equal to all... | |
| John Playfair - Geometry - 1837 - 332 pages
...as many right angles as the figure has sides, wanting four. For all the angles exterior and interior **are equal to twice as many right angles as the figure has sides ; but** the exterior are equal to four right angles ; therefore the interior are equal to twice as many right... | |
| Adrien Marie Legendre - Geometry - 1837 - 372 pages
...two right angles, taken as many times, less two, as the polygon has sides (Prop. XXVI.) ; that is, **equal to twice as many right angles as the figure has sides,** wanting four right angles. Hence, the interior angles plus four right angles, is equal to twice as... | |
| Charles Reiner - Geometry - 1837 - 254 pages
...vertex of these triangles = 4 rt. /.s; therefore, the sum 01 the interior angles of any polygon is **equal to twice as many right angles as the figure has sides** less [minus] four. M.—If the number of sides be three, four, five, six, seven, &c., what is the sum... | |
| Commissioners of National Education in Ireland - 1837
...you go along, as also the angles. angles, A, B, C, &c. of the figure together, and their sum must be **equal to twice as many right angles as the figure has sides,** wanting four right angles. But when the figure has a re-enterant angle, as F, measure the external... | |
| Euclides - 1838 - 264 pages
...is equal* to two right angles ; therefore iV/"^--^ all the interior, together with all the *MT ^~V~ **exterior angles of the figure, are equal \ \ to twice as many right angles as** there \ X^r are sides of the figure ; that is, by the 1) B \ foregoing corollary, they are equal to... | |
| Euclides - 1840 - 194 pages
...right angles. Therefore, all the external, with all the internal angles of the figure, are together **equal to twice as many right angles as the figure has sides** ; that is to say, according to the preceding corollary, they are equal to all the internal angles of... | |
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