 | Woolwich roy. military acad - 1861 - 572 ページ
...9. Find the value of - — --- Q'^— by means of 10o the logarithmic tables. 10. If a side of any triangle be produced, the exterior angle is equal...and opposite angles ; and the three interior angles of every triangle are equal to two right angles. The angle between the lines bisecting two adjacent... | |
 | S. M. Saxby - 1862 - 200 ページ
...ECB, so must the whole angle ADB be the double of the angle AC B. *28. Euc. I. Prop. XXXII.— If any side of a triangle be produced, the exterior angle...and opposite angles ; and the three interior angles of any triangle are equal to two right angles. Eeference to Prop XXIX. Book I. will show that the angle... | |
 | Euclides - 1862 - 172 ページ
...given straight line BC. QEF PROP. XXXII.— THEOREM. Jf the side of any triangle be produced; then 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. (References— Prop. i. 13, 29, 31 ; ax.... | |
 | Benjamin Greenleaf - 1861 - 638 ページ
...equal when they are right angles. ELEMENTS OF GEOMETRY. PROPOsrnojf XXVII. — THEOREM. 94. Jf any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. Let ABC be a triangle, and ^ E let one of its sides, BC... | |
 | Robert Potts - 1863 - 482 ページ
...the side AB, is equal to twice the line joining C with the middle point of AB. 2. If a side of any triangle be produced, the exterior angle is equal...and opposite angles ; and the three interior angles of every triangle are equal to two right angles. 3. Triangles upon the same base, and between the same... | |
 | University of Oxford - 1863 - 316 ページ
...of that which has the greater angle shall be greater than the base of the other. 5. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles j and the three interior angles of every triangle are together equal to two right angles. Add and prove... | |
 | Benjamin Greenleaf - 1863 - 504 ページ
...H", ABC would only be equal when they are right angles. PROPOSITION XXVII. — THEOREM. 94. If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. Let ABC be a triangle, and AE lot one of its sides, BC... | |
 | Euclides - 1864 - 448 ページ
...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...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... | |
 | Euclides - 1864 - 262 ページ
...line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle i* equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let^-BCbeatriangle,andletone of its sides... | |
 | J. F. H. de Rheims - 1865 - 336 ページ
...angles upon the same side together equal to two right angles. Prop. 32. — Theorem. If one side of any triangle be produced, the exterior angle is equal...and opposite angles, and the three interior angles of every triangle are equal to two right angles. Prop. 34. — Theorem. The opposite sides and angles... | |
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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. 
