 | Edward Atkins - 1874 - 426 pages
...^ DFE. Therefore, if two triangles have, &c. (see Enunciation). Which was to be shown. Proposition 5. — Theorem. The angles at the base of an isosceles...another ; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. Let ABC be an isosceles triangle, of which the... | |
 | 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,... | |
 | Euclides - 1874 - 342 pages
...triangles have two sides of the one equal to two sides, &c. Which was to be demonstrated. 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.... | |
 | 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... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...angles GBC and HEF are equal (ax. 8); and the same would appear if AC and 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... | |
 | 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...and if the equal sides be 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... | |
 | Edward Atkins - 1876 - 130 pages
...have, &c. (see Enunciation). Which was to be shown. Proposition 5.— Theorem. Tlie angles at the bose 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 also be equal. Let ABC be an isosceles triangle, of which the... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...sector of a circle, a polygon. When is a straight line said to be ' placed in a circle ' ? 2. The angles at the base of an isosceles triangle are equal to...and if the equal sides be produced the angles on the other side of the base shall be equal to one another. 3. If a straight line be divided into any two... | |
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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. 
