 | Anthony Nesbit - Surveying - 1824 - 476 pages
...together equal to two right angles. CEuc, I. 29. Simp. I. 7- Em. I. 4.; A. C \ V-, H \ THEOREM IV. Let ABC be a triangle, and let one of its sides BC be 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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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...angles of every triangle are equal to two right angles. D; the exterior angle ACD is equal to the two interior аь. opposite angle: CAB ABC, and the three... | |
 | 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 ;...triangle are equal to two right angles. Let ABC be a trianelp, and let one of its sides BC be produeed to D; the exterior angle ACD is equal to the two... | |
 | 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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...drawn from the vertex to the point of section divides the outward angle of the triangle into two equal angles. Let ABC be a triangle, and let one of its sides BA be produced to E; and let the outward angle CAE be divided into two equal s1ngles by the straight... | |
 | 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... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...point A parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If aside of any triangle be produced, the exterior angle is...sides BC be produced to D; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three interior angles of the triangle,... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...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...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,... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...side of a triangle be prolonged, &c. Which was to be demonstrated. PROPOSITION XXXII. THEOBEM. — The three interior angles of every triangle are equal to two right angles. Let ABC be a triangle. The three interior A angles CAB, ABC, and BCA, are together equal to two right angles. •lNTERc.12.... | |
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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. 
