| Mathematics - 1835 - 684 pages
...is equal to two right angles (2.) ; all the interior angles, together with all the exterior angles, **are equal to twice as many right angles as the figure has** angles. But all the exterior angles are, by the former part of the proposition, equal to four right... | |
| John Playfair - Euclid's Elements - 1835 - 336 pages
...by -f of one right angle. PROP. XXVI. THEOR. All the interior angles of any rectilineal figure, art **equal to twice as many right angles as the figure has sides,** wanting four right angles. For any rectilineal figure ABCDE can be divided into as many triangles as... | |
| John Playfair - Geometry - 1836 - 148 pages
...straight lines from a point F within the figure to each of its angles. And, by the preceding proposition, **all the angles of these triangles are equal to twice as many right angles as** there are triangles, that is, as there are sides of the figure ; and the same angles are equal to the... | |
| Mathematics - 1836 - 488 pages
...triangle are equal to two right angles. Сон. 1. All the interior angles of any rectilineal figure **are equal to twice as many right angles as the figure has sides,** wanting four right anglesť 2. All the exterior angles of any rectilineal figure are to. gether equal... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...straight lines from a point F within the figure to each of its angles. And, by the preceding proposition, **all the angles of these triangles are equal to twice as many right angles as** there are triangles ; that is, as there are sides of the figure ; and the same angles are equal to... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...straight lines from a point F within the figure to each of its angles. And, by the preceding proposition, **all the angles of these triangles are equal to twice as many right angles as** there are triangles, that is, as there are sides of the figure ; and the same angles are equal to the... | |
| Adrien Marie Legendre - Geometry - 1837 - 376 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 - Measurement - 1837 - 284 pages
...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
...straight lines from a point F within the figure to each of its angles. And, by the preceding proposition, **all the angles of these triangles are equal to twice as many right angles as** there are triangles, that is, as there are sides of the figure : and the same angles are equal to the... | |
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