| Euclides - 1838
...drawn from the eertex to the point of section dieides the outward angle of the triangle into two equal **angles. Let ABC be a triangle, and let one of its sides** BA be produced to E; and let the outward angle CAE be divided into two equal angles by the straight... | |
| Euclides - 1841
...point A, parallel to the given straight line BC. Which was to he done. . PROP. XXXII. THEOR. If a side **of any triangle be produced, the exterior angle is...sides BC be produced to D; the exterior angle ACD** shall be equal to_ the two interior and opposite angles CAB, ABC: and the three interior angles of... | |
| John Joseph Griffin - 1841 - 489 sider
...Acuic-anylcd, when the triangle has three acute angles. See the triangular planes on Model 73. «7, **The three interior angles of every triangle are equal to two right angles.** — It, If two angles of a triangle be given, the third is equal to the difference between their sum... | |
| Euclides - 1842
...through the given point A parallel to the given straight line в c. QEF PROP. XXXII. THEOR. IF a side **of any triangle be produced, the exterior angle is...angles. Let ABC be a triangle, and let one of its sides,** вc be produced to D; the exterior angle AC D is equal to the two interior and opposite angles CAB,... | |
| John Playfair - 1842 - 317 sider
...angles are also equal. Now, this being demonstrated, it is easy to prove that the three angles of any **triangle are equal to two right angles. Let ABC be a triangle** right angled at A, draw AD perpendicular to BC. The triangles ABD, ABC have the angles BAC, BDA right... | |
| James Pycroft - 1843 - 216 sider
...complicated nature, any more than the Moralist should suppose he can render it highly probable that **the three interior angles of every triangle are equal to two right angles,** or the Orator exhaust his powers of persuasion in trying to enlist the affections in favour of the... | |
| William Honyman Gillespie - 1843 - 391 sider
...subjective mind. § 65. To illustrate this doctrine by an example taken from the science of magnitude. That **the three interior angles of every triangle are equal to two right angles,** is a truth which, if the demonstration has been followed, cannot but be believed, when the subject... | |
| James Thomson - 1845 - 358 sider
...equal to that which is described by eitner extremity of the base.* BOOK I. PKOP. XXXII.— If a side **of any triangle be produced, the exterior angle is equal to the two interior and** remote angles ; and the three interior angles of every triangle are together equal to two right angles.... | |
| Robert Potts - 1845
...straight line EAF parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. If a side **of any triangle be produced, the exterior angle is equal to the** Iwo interior and opposite angles; and Ihe three interior angles of every triangle are together equal... | |
| Euclides - 1846
...the given point A parallel to the given straight line BC. Qur PROP. XXXII. THEOR. If any side of a **triangle be produced, the exterior angle is equal...sides BC be produced to D : the exterior angle ACD** shall be equal to the two interior and opposite angles CAB, ABC; and the . . n three interior angles... | |
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