| 1858 - 398 pages
...less than the other two sides of the triangle, but shall contain a greater angle. 3. PJSOP. XXXII.— If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PUOP. XLIV. — To a given straight... | |
| War office - 1858 - 578 pages
...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...every triangle are together equal to two right angles. State Euclid's corollaries to this proposition. VOLUNTARY PORTION. 1. Given the centre of the circle... | |
| W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...18th, Book I. The greater side of every triangle is opposite to the greater angle. The 32nd, Book I. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two right angles. Reference to Fig. 33 will illustrate the value of the above in triangular... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...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 interior 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... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...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...every triangle are together equal to two right angles. Hence show that all the exterior angles of any rectilineal figure made by producing the sides successively... | |
| Education - 1859 - 412 pages
...than the third side. Madras ^e difference of any two sides is always less than the third side. " 4. The three interior angles of every triangle are together equal to two right angles. How many degrees are there in an angle of a regular octagon? 5. In any right angled triangle, tire... | |
| Anthony Nesbit - Measurement - 1859 - 494 pages
...produced to D; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; also the three interior angles of every triangle are together equal to two right angles. (Euc. I. 32. Simp. I. 9 & 10. Em. H. 1 & 2.) THEOREM V. Parallelograms standing on the same base, and... | |
| Civil service - 366 pages
...less than the other two sides of the triangle, but shall contain a greater angle. PROP. XXXII. — If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — To a given straight line... | |
| Joseph Charles Parkinson - 1860 - 154 pages
...less 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...every triangle are together equal to two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PBOP. XLIV. — To a given straight... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...been drawn a straight line EAF parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. Let ABCbe a triangle, and let one of its sides UCbe produced to D. Then the exterior angle A CD shall... | |
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