| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...isf equal to two right angles ; all the interior together with all the exterior angles of the figure, **are equal to twice as many right angles as the figure has sides.** But (by Cor. 1 .) all the interior angles are together equal to twice as many right angles as the figure'... | |
| Charles Bonnycastle - Geometry - 1834 - 670 pages
...expressed as the following proposition : "The interior angles of any closed plane figure are together **equal to twice as many right angles as the figure has sides,** minus four right angles." 206. And as a second application of the principle in question, or, which... | |
| 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 the figure... | |
| Euclid - 1835 - 540 pages
...&c. QED 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... | |
| 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 - 1836 - 488 pages
...the angles CAB, ABC, BCA are equal to two right angles ; and the angles ACD, ACB are also (13. I.) **equal to two right angles; therefore the three angles...the figure has sides, wanting four, \ ' PROP. II.** , .. I . i'! ' Two straight lines, which make with a third line the interior angles on the same side... | |
| 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 to four right... | |
| John Playfair - Geometry - 1836 - 148 pages
...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... | |
| 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 many right angles... | |
| 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 angle, which... | |
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