 | Euclides - 1865 - 80 pagina’s
...time equal to the two angles ADB and ADC, which are (5) together equal to two right angles ; wherefore the three interior angles of every triangle are together equal to two right angles. Cor. 1. If two angles of one triangle be equal to two angles of another, the triangles are equiangular.... | |
 | Alfred Challice Johnson - 1865 - 166 pagina’s
...equal to one another. (Eue. I., 29.) 6. If a side of a triangle he produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles are equal to two right angles, or 180°. (Eue. L, 32.)* 7. The square upon the hypolheneuse of a right-angled... | |
 | 1866 - 692 pagina’s
...specimens of well-sustained argument ever put forth. The man who, after studying Euclid, should deny that " the three interior angles of every triangle are together equal to two right angles," would be considered incapable of understanding argument at all ; and so no one possessed of ordinary... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pagina’s
...line BC. QEF PROPOSITION 32. THEOREM. If a side of any triangle &« produced, tlie exterior angle is equal to the two interior and opposite angles ; and...are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D : the exterior angle A CD shall be equal to... | |
 | Robert Potts - 1868 - 434 pagina’s
...equal to one another, therefore EFis parallel to BC. (I. 27.) PROPOSITION XXXII. THEOREM. If a tide of any triangle be produced, the exterior angle it...triangle are together equal to two right angles. Let A BC be a triangle, and let one of its sides B Cbe produced to D. Then the exterior angle A CD shall... | |
 | James Maurice Wilson - 1868 - 132 pagina’s
...SECTION III. PLANE TRIANGLES. THEOREM 8. If one side of a triangle is produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of any triangle are together equal ' to two right angles ii 20 THEOREM 9. An isosceles triangle has the... | |
 | General Medical Council (Great Britain) - 1869 - 402 pagina’s
...classification of 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...every triangle are together equal to two right angles. 2. In equal circles equal angles stand upon equal circumferences whether they be at the centres or... | |
 | Amos Dean - 1869 - 550 pagina’s
...to four. He is said to have discovered the three following geometrical theorems, viz : 1. That the interior angles of every triangle are together equal to two right angles. 2. That the only polygons which will till up the whole space about a given point are the equilateral... | |
 | Elizabethan club - 1880 - 156 pagina’s
...compasses. 3. If a side of a triangle be produced the exterior angle is equal to the sum of the two interior angles, and the three interior angles of every triangle are together equal to two right angles. Enunciate the two corollaries to this proposition, and prove one of them. 4. Enunciate and prove the... | |
 | Robert Assheton Napier - 1880 - 132 pagina’s
...pm .-. elapsed time = 20 minutes = 4 miles = distance from light when right abeam. Proof— Because the three interior angles of every triangle are together equal to two right angles, and the figure formed with the light being a right.angled triangle, and containing one angle of 45°,... | |
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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. 
