| Mathematics - 1835
...angle, 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 - 316 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 - 114 pages
...two right angles. Which was to be proved. COR. I. All the interior angles of any rectilineal figure, **together with four right angles, are equal to twice as many right angles as the figure has sides.** For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by... | |
| Mathematics - 1836 - 472 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... | |
| John Playfair - Geometry - 1837 - 318 pages
...angles of the figure are equal to twice as many right angles as the figure has sides, wanting four. **COR. 2. All the exterior angles of any rectilineal...Because every interior angle ABC, with its adjacent** exterior ABD, is equal (13. 1.) to two right angles ; therefore all the interior, together with all... | |
| Euclid, James Thomson - Geometry - 1837 - 390 pages
...right angles. Wherefore, if a side, &c. Cor. 1. All the interior angles of any rectilineal figure, **together with four right angles, are equal to twice as many right angles as the figure has sides.** For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...ACB, are equal to two right angles. COR. 1. — All the interior angles of any rectilineal figure, **together with four right angles, are equal to twice as many right angles as the figure has** be divided into as many triangles as the figure has sides, by drawing straight lines from a point F... | |
| Commissioners of National Education in Ireland - Measurement - 1837 - 262 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... | |
| Charles Reiner - Geometry - 1837 - 215 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... | |
| Adrien Marie Legendre - Geometry - 1837 - 329 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... | |
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