 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
 | Robert Potts - 1865 - 528 pages
...drawn a straight line EAF parallel to the given straight line B CQEF PROPOSITION XXXII. THEOREM. lf a side of any triangle be produced, the exterior angle...opposite angles; and the three interior angles of every triangle are together equal to two right angles. Let AB C be a triangle, and let one of its sides... | |
 | J. F. H. de Rheims - Geometrical drawing - 1865 - 336 pages
...interior angles upon the same side together equal to two right angles. Prop. 32. — Theorem. If one side of any triangle be produced, the exterior angle...opposite angles, and the three interior angles of every triangle are equal to two right angles. Prop. 34. — Theorem. The opposite sides and angles... | |
 | Alfred Challice Johnson - Plane trigonometry - 1865 - 166 pages
...lines, it makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle he produced, the exterior angle is equal to the two interior...and opposite angles; and the three interior angles are equal to two right angles, or 180°. (Eue. L, 32.)* 7. The square upon the hypolheneuse of a right-angled... | |
 | Edward Isidore Sears - 1865 - 858 pages
...of (acts or series of* truths from another. Thus, for example, after we have fully demonstrated that the three interior angles of any triangle are together equal to two right angles, and that the. square described on the hypothenuse of any triangle is equal to the sum of the squares... | |
 | 1865 - 838 pages
...of facts or series of truths from another. Thus, for example, after we have fully demonstrated that the three interior angles of any triangle are together equal to two right angles, and that the square described on the hypothenuse of any triangle is equal to the sum of the squares... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1865 - 106 pages
...same, and thence show that two straight lines cannot have a common segment. [ECS] 43. If the side of a triangle be produced, the exterior angle is equal to the two interior opposite angles : and the three interior angles of every triangle are together equal to two right angles.... | |
 | Euclides - 1865 - 80 pages
...one-third of two right angles, or two thirds of one right angle. PROPOSITION XXXI. THEOR. If one side of a triangle be produced, the exterior angle is equal to the two interior opposite angles. Let BC, one of the sides of the triangle ABC, be produced to D, the exterior angle... | |
 | Euclides - 1865 - 402 pages
...introduction to the analytical method. Thus, take for example i. 32, in which we are required to prove that the exterior angle is equal to the two interior and opposite angles. First, draw the line CE, assuming that it divides the exterior angle into parts that are respectively... | |
 | Wisconsin. Department of Public Instruction - Education - 1880 - 390 pages
...circle. 5. Classify plane triangles. Examination of Teachers for State Certificates. •6. Theorem — The three interior angles of any triangle are together equal to two right angles. 7. Problem — To a given square, draw an inscribed and circumscribed circle. 8. Theorem — In a circle,... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...side, and the difference of the other two sides. 2. If a side of any triangle be produced, prove that the exterior angle is equal to the two interior and opposite angles, and that the three interior angles of every triangle are equal to two right angles. State and prove also... | |
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