 | John Playfair - 1836 - 148 sider
...angles CBA, BAC, ACB, are equal to two right angles. Wherefore, if a side of a tqangle be produced, the exterior angle is equal to the two interior and opposite...angles of every triangle are equal to two right angles. Which was to be proved. COR. I. All the interior angles of any rectilineal figure, together with four... | |
 | 1836 - 488 sider
...a side of any triangle be produced, the exterior angle is equal to the two interior and op. posite angles ; and the three interior angles of every 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... | |
 | Euclides - 1837 - 112 sider
...g - f, given straight line. PROPOSITION XXXII. Theorem. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...angles of every triangle are equal to two right angles. Steps of the Demonstration. 1. Prove that the altern. Z BAC = alternate Z ACE, And since AB, CD are... | |
 | John Playfair - 1837 - 332 sider
...parallel to the given straight line BC. PROP. XXXII. THEOR. / If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...interior angles of every triangle are equal to two rightfmgles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the exteripr angle... | |
 | Euclid, James Thomson - 1837 - 410 sider
...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 A CD is equal to the two interior and remote angles CAB, ABC ; and (2.) the... | |
 | Andrew Bell - 1837 - 290 sider
...the given straight line BC. PROPOSITION XXXII. THEOREM. If a side of any triangle he produced, the exterior angle is equal to the two interior and opposite angles ; and vie three interior angles of every triangle are equal to two right angles. Let ABC he a triangle, and... | |
 | Robert Simson - 1838 - 434 sider
...straight line BC. Which was to be done. PROP. 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 - 1838 - 470 sider
...straight line BC. Which was to be done. PROP. XXXII. THEOR. Ir a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...angles of every triangle are equal to two right angles. ROOK I. triangle, viz. ABC, BCA, CAB, are together equal to two right angles. Through the point C draw... | |
 | Euclides - 1838 - 264 sider
...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... | |
 | John Joseph Griffin - 1841 - 538 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... | |
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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 equal to two right angles. 
