 | Euclides - 1874 - 342 pages
...PROPOSITION 5. — Theorem. The angles at the base of an isosceles triangle are equal to each other; and if the equal sides be produced, the angles on the other side of the base shall be equal. Let ABC be an isosceles triangle of which the side AB is equal to AC, and let the equal sides AB, AC... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...two of its sides equal. PROPOSITION II. The angles at the base of an isosceles triangle are equal; and if the equal sides be produced, the angles on the other side of the base shall be equal. Let ABC be an isosceles A , having the side AB = the side AC, then shall the i ABC be = the ^ A CB;... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...DF were produced. PROP. V. — THEOREM. The angles at the base of an isosceles triangle are equal, and if the equal sides be produced, the angles on the other side of the base are also equal. Let ABC be an isosceles triangle, having the side AB equal to the side AC; it is required... | |
 | Edward Atkins - 1874 - 428 pages
...have, &c. (see Enunciation). Which was to be showm. Proposition 5.— Theorem. The angles at the bose of an isosceles triangle are equal to one another ; and if the equal sides be produced, tlie angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle,... | |
 | United States Naval Academy - 1874 - 888 pages
...and a half. 1. Prove that the angles at the base of an isosceles triangle are equal, and that if p equal sides be produced the angles on the other side of the base will be equal. В С is an isosceles triangle, В С the base ; if the angles ARC and AC В be bisected... | |
 | L J V. Gerard - 1874 - 428 pages
...II. The angles of a scalene triangle, are unequal to each other. THEOREM 8. (Eucl. I. 5.) The angles at the base of an isosceles triangle, are equal to one another. Let the sides AB and BC of the triangle ABC be equal to each other. Let BD he the bisectrix of the... | |
 | Robert Jardine - Consciousness - 1874 - 338 pages
...soon decide the question. From a comparison of certain angles and triangles we infer — " The angles at the base of an isosceles triangle are equal to one another." This is certainly not a relation of inclusion, either total or partial. From a variety of considerations,... | |
 | Joseph Hamilton - Extraterrestrial anthropology - 1875 - 126 pages
...else, the conclusion that they are equal to each other is absolutely unimpeachable. Again ; the angles at the base of an isosceles triangle are equal to one another. There are several steps in this argument, and many appeals to facts previously established ; but if... | |
 | Education Department,London - 1876 - 1010 pages
...circle, oblong, and parallelogram ; and distinguish between a postulate and an axiom. 2. The angles at the base of an isosceles triangle are equal to...produced the angles on the other side of the base will be equal to one another. Show that the segments of BG, CF, in Euclid's figure, are equal, each... | |
 | Marianne Nops - 1882 - 278 pages
...base. SUMMARY OF PROPOSITION V., THEOREM 2. The angles at the base of an isosceles triangle are equal, and if the equal sides be produced, the angles on the other side of the base are Cons. — In BD take any point F. From CE cut off CG = BF (I. 3), join FC, GB. Proof. — By I.... | |
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THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal. 
