 | John Aikin - 1813 - 720 σελίδες
...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 will fill up the whole space about a given point, are the equilateral... | |
 | Euclides - 1814 - 560 σελίδες
...b v ^. v ^ 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...the two interior and opposite angles ; and the three inferior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one... | |
 | Euclides - 1816 - 588 σελίδες
...*~^v~^ A parallel to the given straight line BC. Which was to * 27' 1. be done. PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior...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 Mason Good - 1819 - 800 σελίδες
...draw a straight line through a given tioint parallel to a given straight line. Prop. XXXII. Theor. If a side of any triangle be produced, the exterior...angle is equal to the two interior and opposite angles : anil the three interior angles of every triaugie are equal to two riyht angles. Prop. XXXIII. Theor.... | |
 | John Playfair - 1819 - 354 σελίδες
...the given straight linp BC. Which was to be done. PROP. XXXII. THEOR. 'if a side of any triangle bf produced, the exterior angle is equal to the two interior...opposite angles ; and the three interior angles of everif triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be... | |
 | John Playfair - 1819 - 350 σελίδες
...the given point A parallel to the given straight line BC. Which was to be done. PROP. xxxn. THEOR.. If a side of any triangle be produced, the exterior ang.Le is equal tojhe two interior and opposite angles ; and the three interior angles of every triangle are equal... | |
 | Johann Jakob Brucker, William Enfield - 1819 - 540 σελίδες
...1. xiv. c, 33. "Boeth. deMus. 1. iv. c. 14. Pythagorjis, the following are the principal : that the interior angles of every triangle are together equal to two right angles ; that the only polygons Which will fill up the whole space about a given point, are the equilateral... | |
 | Anthony Nesbit, W. Little - 1822 - 916 σελίδες
...produced to 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. (Em. I. 32. Simp. I. 9, 10. Em. IL I, 2 J A C THEOREM V. Let the parallelograms ABCD, DBCEbe upon the... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...point A, parallel to the given straight line BC. Which was to be done. Proposition XXXII. Theorem. If a side of any triangle be produced, the exterior angle is eqnA to the two interior and opposite angles ; and the three interior angles of every triangle are... | |
 | Euclid - 1826 - 234 σελίδες
...three remaining sides equal to each other. PROPOSITION XXXII * THEOREM. One side of any triangle being produced, the exterior angle is equal to the two interior...opposite angles, and the three interior angles of a triangle are equal to two right angles. Let ABC be a triangle ; and let one of its sides вс be... | |
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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 equal to two right angles. 
