 | John Playfair - Euclid's Elements - 1833 - 346 pages
...the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If a- side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; anS- the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle,... | |
 | Euclid - 1835 - 540 pages
...given ^-Y"**' straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the, two...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 Playfair - Euclid's Elements - 1835 - 336 pages
...and EDF would be together equal to two right angles. PROP. XXV. THEOR. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and (he three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and... | |
 | Mathematics - 1835 - 684 pages
...(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 Fellows - 1835 - 432 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,... | |
 | John Playfair - Geometry - 1836 - 148 pages
...also, the angles CBA, BAC, ACB, are equal to two right angles. Wherefore, if a side of a tqangle be produced, the exterior angle is equal to the two interior...and the three interior angles of every triangle are equal to two right angles. Which was to be proved. COR. I. All the interior angles of any rectilineal... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...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 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... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...parallel to a g - f, given straight line. PROPOSITION XXXII. Theorem. If a side of any triangle be produced, the exterior angle is equal to the two interior...and the three interior angles of every triangle are equal to two right angles. Steps of the Demonstration. 1. Prove that the altern. Z BAC = alternate... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...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. Let the side BC of the triangle ABC be produced to D : the exterior angle A CD is equal to the two interior... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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... | |
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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. 
