| James Lukin - Metal-work - 1874 - 214 pages
...C and D are each 45° (half the right angles at the corners of the square), then if it is true that the three angles of a triangle are together equal to two right angles, the angle at E must be a right angle (for we have taken from the triangle the two angles G and D, each... | |
| John Hall - Christian education - 1875 - 428 pages
...an opinion as we please ; if we reject a fact, we only advertise our stupidity. If a man denies that the three angles of a triangle are together equal to two right angles, we can demonstrate the proposition. If he says that Brutus did not kill Csesar, we can open the books... | |
| Moses Wolcott Redding, Author of Guide to Mount Moriah - Bible - 1875 - 570 pages
...Geometry, Astronomy, and Mathematics. It is to him that the world is indebted for the discovery that the three angles of a triangle are together equal to two right angles, and that in any right angled triangle, the square formed on the hypothenuse is equal to the sum of... | |
| Richard Wormell - 1876 - 268 pages
...XVIII. The exterior angle of any triangle is equal to the two interior and opposite angles together, and the three angles of a triangle are together equal to two right angles. Let А В С be a triangle of which А С D is the exterior angle ; then shall and Л С А В + ЛABC+... | |
| Francis Cuthbertson (geometer.) - 1876 - 102 pages
...is = the two angles BAC, ABC together. Wherefore if one side of a triangle &c. QED PROPOSITION XX. The three angles of a triangle are together equal to two right angles. Let ABC be a A. Then shall its three angles be together equal to two right angles. Produce BCtoD. Then... | |
| E. S. Burchett - Geometry - 1876 - 188 pages
...study of Euclid should observe the following points, that may be culled from the First Book : — 1st. The three angles of a triangle are, together, equal to two right angles, invariably. 2nd. The triangle has the same number of equal sides that it has equal angles. 3rd. The... | |
| Matthew R. Miller - Christianity and other religions - 1876 - 276 pages
...probably a horrible Inquisition would have flourished for a century, founded on the question whether the three angles of a triangle are together equal to two right angles. I have had some knowledge by personal experience of the unfairness of Universalists in their arguments... | |
| 1878 - 958 pages
...and as we do so we discover that they have certain properties involved in their very nature, and that the three angles of a triangle are together equal to two right angles, and that parallel lines cannot meet. The properties of the ellipse, as demonstrated by Apollonius,... | |
| Edward Harri Mathews - 1879 - 94 pages
...necessarily true as it stands ? Having completed the enunciation, prove the proposition. 3. Prove that the three angles of a triangle are together equal to two right angles ; and investigate the sum of the exterior angles of any plane convex polygon. 4. Show how to bisect... | |
| Aristotle, Walter Mooney Hatch - Ethics - 1879 - 660 pages
...unalterably the same everywhere. It is what is demonstrable that is matter for Philosophy ; ry that the angles of a triangle are together equal to two right angles, is a matter which can be demonstrated, and the same truth can be demonstrated everywhere alike — just... | |
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