| 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... | |
| 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... | |
| 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... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...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...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 be... | |
| Joseph Charles Parkinson - 1860 - 154 pages
...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 is...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... | |
| Civil service - 366 pages
...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 angle is...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... | |
| John Paxton Hall - 1860 - 186 pages
...the other two sides of the triangle, but shall contain a greater angle. PROF. XXXII. — If a side **of any triangle be produced, the exterior angle is...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... | |
| Herbert Spencer - Psychology - 1882 - 722 pages
...therefore also the angles CBA, BAC, ACB, are together equal to two right angles. " Therefore if a side **of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are** equal to two right angles. QED" Thus in each step by which the special conclusion is reached, as well... | |
| Mary W I. Shilleto - 1882 - 418 pages
...figure for this proposition, if BG, CF meet in H, show that AH bisects the angle BAG. 2. If a side **of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are** equal to two right angles. Enunciate and prove the corollaries to this proposition. Trisect a right... | |
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