 | Euclides - 1860 - 288 pages
...THEOREM. 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. Given a triangle ABC, having one of its sides BC produced to D ; to prove that the exterior angle ACD... | |
 | Woolwich roy. military acad - 1861 - 572 pages
...tables. 10. 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 angle between the lines bisecting two adjacent exterior angles of any quadrilateral is equal to... | |
 | Euclides - 1862 - 140 pages
...THEOREM. If a side of any triangle be produced, the exterior angla in equal to the tiro interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. (References— Prop. I. 13, 29, 31; ax. 1, 2.) Hypothesis. — Let ABC be a triangle, and let one of... | |
 | Robert Potts - 1863 - 482 pages
...of AB. 2. 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. 3. Triangles upon the same base, and between the same parallels, are equal to one another. If E and... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1865 - 106 pages
...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...and the three interior angles of every triangle are together equal to two right angles. [ECS] EXAMINATION PAPER. MONDAY. Divinity. 90. S. Mark xii. 37.... | |
 | J. F. H. de Rheims - Geometrical drawing - 1865 - 336 pages
...Theorem. If one 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. Prop. 34. — Theorem. The opposite sides and angles of parallelograms are equal to one another, and... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...If one side of a triangle is produced, the exterior angk is equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. produced io D ; then will the ex cerior angle ACD be equal to the sum of the two interior and opposite... | |
 | Thomas Squire Barrett - Causation - 1871 - 250 pages
...subjective ' mind. ' 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 be' lieved, when the subject... | |
 | Thomas Squire Barrett - Causation - 1872 - 256 pages
...subjective ' mind. ' 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 be' lieved, when the subject... | |
 | Herbert Spencer - Psychology - 1873 - 672 pages
...Therefore 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. QED" Thus in each step by which the special conclusion is reached, as well as in the stop taken from... | |
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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. 
