| 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... | |
| Royal college of surgeons of England - 1860 - 332 pages
...the same : and thence show that two straight lines cannot have a common segment. 4. If the side of a **triangle be produced, the exterior angle is equal...every triangle are together equal to two right angles.** 5. Describe a square on a given straight line. 6. Define " a gnomon" and " a rectangle." 7. The parallelograms... | |
| Euclides - 1860 - 288 pages
...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...and the three interior 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... | |
| EDUCATION SOCIETY'S PRESS, CULLA - 1860 - 612 pages
...\ , <z, O\ '4' 3v A ' 4\ K ' 2 ^ 3 6. If a side of any triangle be produced, the exterior nngle ia **equal to the two interior and opposite angles; and the three interior angles of every triangle are** equal to two right angles. Show how the corners of a triangular piece of paper may be turned down,... | |
| Young Men's Christian Associations (London, England) - Christianity - 1860 - 490 pages
...a triangle be 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 Playfair - Geometry - 1860 - 334 pages
...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 angles of every triangle are** equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the... | |
| John Fellows - Mysteries, Religious - 1860 - 376 pages
...four. Of the geometrical theorems ascribed to Pythagoras, the following are the principal ; that the **interior angles of every triangle are together equal to two right angles;** that the only polygons which fill up the whole space about a given point, are the equilateral triangle,... | |
| Education - 1882 - 676 pages
...base, etc.] 2. State the particular enunciation (only) of the twenty-seventh proposition of Book I. 3. **If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles.** Algebra. ¿=4, f =6. 2. Multiply ЬУ J^ + pr + o. 3. Solve the equations : — , - ax ex ex (l)T+7+/-^... | |
| Free Church of Scotland. College Committee - Theological seminaries - 1882 - 142 pages
...another upon one side of it, are either two right angles, or are together equal to two right angles. 2. **If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles.** 3. The complements of the parallelograms which are about the diameter of any parallelogram are equal... | |
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