 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.  The Element of Geometry - Page 13by John Playfair - 1836 - 114 pagesFull view - About this book
 | Bible - 1854 - 500 pages
...mind. ' § 65. To illustrate this doctrine by an example taken from the science of magnitude. That the three interior angles of every triangle are equal to two right angles, is a truth which, if the demonstration has been followed, cannot but be believed, when the subject... | |
 | 1855 - 264 pages
...line perpendicular to a given straight line of an unlimited length, from u given point without it. 3. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are together equal to two right angles. 4. Equal triangles upon the same hase and upon the same side of... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...straight line of an unlimited length, from a given point without it. 3. If a side of any triangle he produced, the exterior angle is equal to the two interior...and the three interior angles of every triangle are together equal to two right angles. 4. Equal triangles upon the same base and upon the same side of... | |
 | John Playfair - Geometry - 1855 - 334 pages
...straight line 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 angle is equal to the tivo interior and opposite angles ; and the three interior angles of tvery triangle are equal to two... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...into two equal angles. 2. Any two sides of a triangle are together greater than the third side. 4. If a side of any triangle be produced, the exterior...angles of every triangle are equal to two right angles. If two sides of any triangle be produced, the two exterior angles are together greater than two right... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...opposite to equal sides, show that these two triangles are not necessarily equal to one another. 4. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are together equal to two right angles. 5. If a straight line be divided into any two parts, the square... | |
 | Euclides - 1856 - 168 pages
...together equal to the two FBC, DBC, that is. to two right angles. XIV.— EUCLID I. 32. If one side of a triangle be produced, the exterior angle is equal...the two interior and opposite angles; and the three angles of every triangle are together equal to two right angles. Let ABC (Fig. 9) be a triangle, and... | |
 | John Playfair - Euclid's Elements - 1856 - 346 pages
...given point A parallel to the given straight line BC. PROP. XXXII. THEOR. If a side of any triangle oe produced, the exterior angle is equal to the two interior and opposite angles ; andlthe three interior angles of every triangle are equal to two right i Let ABC be a triangle, and... | |
 | Henry Latham - 1857 - 390 pages
...Construct a triangle of which the base, the sum of the other sides, and the vertical angle are given. 2. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are together equal to two right angles. At what angles are the sides of a regular duodecagon inclined to... | |
 | Elias Loomis - Conic sections - 1857 - 242 pages
...PROPOSITION XXVII. THEOEEM. If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three...triangle are equal to two right angles. Let ABC be any plane triangle, and let the side BC be produced 10 D ; then will the exterior angle ACD be equal... | |
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