| University of Oxford - Education, Higher - 1863
...equal to them of the other. 5. 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** together equal to two right angles. 6. Equal triangles on the same base, and on the same side of it,... | |
| Euclides - 1864 - 448 pages
...QEF PROPOSITION XXXII. THEOREM. 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** together equal to two right angles. Let A BC be a triangle, and let one of its sides B Cbe produced... | |
| Horatio Nelson Robinson - Conic sections - 1865 - 472 pages
...equal to two right angles. Hence the theorem ; the sum of the three angles, etc. THEOREM XII. If any **side of a triangle is produced, the exterior angle is equal to the sum of the two interior** opposite angles. Let ABC be a triangle. Produce AB to D; and we are to prove that the angle CBD is... | |
| Robert Potts - 1865 - 528 pages
...CQEF PROPOSITION XXXII. THEOREM. lf 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** together equal to two right angles. Let AB C be a triangle, and let one of its sides BC be produced... | |
| Euclides - 1865 - 402 pages
...given straight line. Prop. 32. 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** together equal to two right angles. Cor. 1. All the interior angles of any rectilineal figure, together... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...QEF PROPOSITION 32. THEOREM. If a side of any triangle &« produced, tlie exterior angle is equal to **the two interior and opposite angles ; and 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... | |
| Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...13), and, consequently, the two lines AB, CD, are parallels (corol., th. 14). QED THEOREM XVII. "When **one side of a triangle is produced, the exterior angle is equal to** both the interior opposite angles taken together. Let the side AB, of the triangle ABC, be produced... | |
| Robert Potts - 1868 - 410 pages
...27.) PROPOSITION XXXII. THEOREM. If a tide of any triangle be produced, the exterior angle it equal to **-the two interior and opposite angles ; and the three interior angles of every triangle are** together equal to two right angles. Let A BC be a triangle, and let one of its sides B Cbe produced... | |
| James Maurice Wilson - Geometry - 1868
...the other. Def. 25. The area of a figure is the space enclosed by the sides of the figure. THEOREM 8. **If one side of a triangle is produced, the exterior angle is equal to the** two in- *\ terior and opposite angles, a?id the three interior angles of any triangle are together... | |
| General Medical Council (Great Britain) - 1869
...Duties ? HIGHER MATHEMATICS. 1. If a side of a triangle be produced, the exterior angle is equal to **the two interior and opposite angles ; and the three interior angles of every triangle are** together equal to two right angles. 2. In equal circles equal angles stand upon equal circumferences... | |
| |