 | Euclides - 1858 - عدد الصفحات: 248
...established, may afterwards be taken for granted. For instance, when we have once established the truth, that " the interior angles of every triangle are together equal to two right angles," and we afterwards come to a proposition in the demonstration of which we need this established truth,... | |
 | 1858 - عدد الصفحات: 398
...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 - 1858 - عدد الصفحات: 694
...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... | |
 | War office - 1858 - عدد الصفحات: 578
...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. State Euclid's corollaries to this proposition. VOLUNTARY PORTION. 1. Given the centre of the circle... | |
 | Sandhurst roy. military coll - 1859 - عدد الصفحات: 672
...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... | |
 | 1859 - عدد الصفحات: 414
...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 - 1859 - عدد الصفحات: 494
...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... | |
 | John Fellows - 1860 - عدد الصفحات: 376
...arithmetic, a line to two, a superficies to three, a solid to four. Of the geometrical theorems ascribed to Pythagoras, the following are the principal ; that...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... | |
 | John Paxton Hall - 1860 - عدد الصفحات: 186
...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... | |
 | Robert Potts - 1860 - عدد الصفحات: 380
...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. 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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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. 
