 | 1858 - 398 pages
...triangle be produced, 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. 4. Enunciate and prove the corollaries of the last proposition. 5. PUOP. XLIV. — To a given straight... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...triangle be produced, 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. 4. Enunciate and prove the corollaries of the last proposition. 5. PROP. XLIV. — To a given straight... | |
 | Anthony Nesbit - Measurement - 1859 - 494 pages
...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... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...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 made by producing the sides successively... | |
 | Education - 1859 - 414 pages
...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... | |
 | John Fellows - Mysteries, Religious - 1860 - 376 pages
...to two, a superficies to three, a solid to four. Of the geometrical theorems ascribed to Pythagoras, the following are the principal ; that the interior...to two right angles; that the only polygons which fill up the whole space about a given point, are the equilateral triangle, the square, and -the hexagon... | |
 | Civil service - 366 pages
...triangle be produced, 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. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — To a given straight line... | |
 | Young Men's Christian Associations (London, England) - Christianity - 1860 - 490 pages
...produced, the exterior angle is equal to the sum of the two angles which subtend it ; and the three interior angles of every triangle are together equal to two right angles." One day, when he was busied with the demonstration of this theorem, his father caught him in the act... | |
 | John Paxton Hall - 1860 - 186 pages
...triangle be produced, 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. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — To a given straight line... | |
 | Joseph Charles Parkinson - 1860 - 154 pages
...triangle be produced, 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. 4. Enunciate and prove the corollaries of the last proposition. 5. PBOP. XLIV. — To a given straight... | |
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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 together equal to two right angles. 
