 | Euclides - 1842 - 316 sider
...to the given straight line в c. QEF PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...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 - 332 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... | |
 | William Honyman Gillespie - 1843 - 422 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 Pycroft - 1843 - 256 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... | |
 | Euclid - 1845 - 218 sider
...BC. Which was to be done. PROPOSITION XXXII. THEOR. — If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC, and the three interior angles of the triangle,... | |
 | Euclid, James Thomson - 1845 - 382 sider
...the two interior and remote angles ; and (2) the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D : (1 ) the exterior angle ACD is equal to the two interior and remote angles CAB, ABC ; and (2) the... | |
 | Euclides - 1845 - 546 sider
...drawn from the vertex to the point of section divides 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... | |
 | Great Britain. Admiralty - 1846 - 128 sider
...A || BC. EF || BC. Pt0ff ^ PROP. XXXI. THEOR. 32. 1 Eu. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...and the three interior angles of every triangle are together equal to two right angles. Let ABC be a ^, and the side BC be prod, to D. Then shall the ext.... | |
 | Great Britain. Admiralty - 1846 - 128 sider
.../. ADC, EF || BC. Prop.2H. PROP. XXXI. THEOR. 32. 1 Eu. If a side of any triangle be produced, t/ie ex-terior angle is equal to the two interior and opposite...and the three interior angles of every triangle are together equal to two riffht angles. Let ABC be a ^\, and the side BC be prod, to D. Then shall the... | |
 | London univ - 1846 - 326 sider
...problem be impossible ? 5. If a side of any triangle be produced, show that the exterior angle will be equal to the two interior and opposite angles ; and the three interior angles of every triangle will be equal to two right angles. Also show that all the exterior angles of any rectilineal figure... | |
| |
IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. 
