 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.  The Cambridge Examiner - Page 1651884Full view - About this book
 | Euclides - 1816 - 588 pages
...*~^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...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... | |
 | John Mason Good - 1819 - 800 pages
...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 pages
...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 - Circle-squaring - 1819 - 350 pages
...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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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... | |
 | Euclides - 1826 - 226 pages
...angle equal to a given rectilineal angle. 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. Eoint c draw CE parallel to the right neAB ; a and because... | |
 | Euclid - 1826 - 234 pages
...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...Whieh was to be done. PROP. XXXII. THEOR. If a side of any triangle be produeed, the exterior ah^ gle is equal 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 trianelp, and let one of its sides BC be... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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...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... | |
 | John Playfair - Geometry - 1829 - 210 pages
...the given line BC. Which was to be done. PROPOSITION XXXII. THEOREM.* 1. If any side of a rectilineal triangle be produced, the exterior angle is equal to the two interior and opposite angles taken together. Let ABC be a triangle, and let a side BC be produced to D; the exterior angle ACD is... | |
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