| 1835
...(o) The three angles of a triaugle are together equal to two right angles; and if one of the sides **be produced, the exterior angle is equal to the two interior and opposite angles** . 14 (/>) In a right angled triaugle — 1. One of the angles, viz. the right angle, is equal to the... | |
| John Playfair - 1836 - 114 páginas
...drawn through the given point A, parallel to the given point BC. Which was to be done. PROP. V. THEOR. **If a side of any triangle be produced, the exterior...angles of every triangle are equal to two right angles.** Let ABC be a triangle, and let any of its sides BC be produced to D ; the exterior angle ACD is equal... | |
| John Playfair - 1836 - 311 páginas
...be done. x'i PROP. XXXII. THEOR. If a side of any trin iglc be produced, the exterior angle is e^ual **to the two interior and opposite angles ; and the...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 exterior angle ACD is equal... | |
| 1836 - 472 páginas
...XXX. Straight lines which are parallel to the same straight line are parallel to one another. XXXII. **If a side of any triangle be produced, the exterior angle is equal to the two interior and** op. posite angles ; and the three interior angles of every triangle are equal to two right angles.... | |
| Euclides - 1837 - 88 páginas
...line / through a given point parallel to a g - f, given straight line. PROPOSITION XXXII. Theorem. **If a side of any triangle be produced, the exterior...angles of every triangle are equal to two right angles.** Steps of the Demonstration. 1. Prove that the altern. Z BAC = alternate Z ACE, And since AB, CD are... | |
| John Playfair - 1837 - 318 páginas
...EAF is drawn through the given point A parallel to the given straight line BC. PROP. XXXII. THEOR. / **If a side of any triangle be produced, the exterior...interior angles of every triangle are equal to two** rightfmgles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the exteripr angle... | |
| Euclid, James Thomson - 1837 - 390 páginas
...line equal to that which is described by either extremity of the base.* BOOK I. PROP. XXXII. THEOR. **IF a side of any triangle be produced, the exterior angle is equal to the two interior and** remote angles ; and the three interior angles of every triangle are together equal to two right angles.... | |
| Charles Reiner - 1837 - 215 páginas
...the exterior angle is greater than either of the interior and opposite angles. 7. If one side of a **triangle be produced, the exterior angle is equal to the two interior and opposite angles.** 8. If each of the sides of a triangle be produced, the three exterior angles are, together, equal to... | |
| Andrew Bell - 1837 - 240 páginas
...A parallel to the given straight line BC. PROPOSITION XXXII. THEOREM. If a side of any triangle he **produced, the exterior angle is equal to the two interior and opposite angles ; and** vie three interior angles of every triangle are equal to two right angles. Let ABC he a triangle, and... | |
| Euclides - 1838
...the given point A, parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. **If a side of any triangle be produced, the exterior...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 exterior angle ACD shall... | |
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