 | Great Britain. Parliament. House of Commons - 1858 - 694 σελίδες
...than the other two sides of the triangle, but shall contain a greater angle. 3. PKOP. XXXII.— If a side of any triangle be produced, the exterior angle...and the three interior angles of every triangle are together equal to two right angles. 4. Enunciate and prove the corollaries of the last proposition.... | |
 | War office - 1858 - 578 σελίδες
...the first line shall be equidistant from the two extremities of the finite line ? 2. If a side of a triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are together equal to two right angles. State Euclid's corollaries to this proposition. VOLUNTARY PORTION.... | |
 | Elias Loomis - 1858 - 256 σελίδες
...PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angle tn equal to the sum of the two interior and opposite angles ; and the three...angles of every triangle are equal to two right angles. ^et ABC be any plane triangle, and let the side BC be produced uo D ; then will the exterior angle... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...of -0031843449. EUCLID. 1. If a side of a triangle be produced the exterior angle is equal to both the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. Hence show that all the exterior angles of any rectilineal figure... | |
 | John Playfair - 1860 - 334 σελίδες
...PROP. XXXII. TIIEOR. If a side of any triangle lie produced, the exterior angle is equal to the tiro interior and opposite angles ; and the three interior...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,... | |
 | Euclides - 1860 - 288 σελίδες
...drawn through the given point A parallel to the given straight line BC. PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle...angles of every triangle are equal to two right angles. Given a triangle ABC, having one of its sides BC produced to D ; to prove that the exterior angle ACD... | |
 | Joseph Charles Parkinson - 1860 - 154 σελίδες
...than the other two sides of the triangle, but shall contain a greater angle. 3. PROP. XXXII. — If a side of any triangle be produced, the exterior angle...and the three interior angles of every triangle are together equal to two right angles. 4. Enunciate and prove the corollaries of the last proposition.... | |
 | Herbert Spencer - 1881 - 756 σελίδες
...foregoing theorem is inconveniently long. We shall find a fitter one in Proposition xxxii. " If the side of any triangle be produced, the exterior angle...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... | |
 | Moffatt and Paige - 1881 - 176 σελίδες
...understood abbreviations for words may be used, but not symbols of operations, such as - , +, x .] 1. If a side of any triangle be produced, the exterior angle...opposite angles ; and the three interior angles of ev«*y triangle are together equal to two right angles. The base angle of an isosceles triangle is... | |
 | 1884 - 538 σελίδες
...are equal. 8. Distinguish carefully between analysis and synthesis. Prove I. 9 by both methods. 9. If a side of any triangle be produced, the exterior angle...opposite angles, and the three interior angles of any triangle are together equal to two right angles. 10. Describe a square that shall be equal to a... | |
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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. 
