 | J. Goodall, W. Hammond - 1848 - 390 pages
...from a given point in it. 3. 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. SECTION II. 1. Prove that the sum of the three angles of a triangle equals two right angles.... | |
 | Education - 1848 - 542 pages
...Geometry," &c. page 21. 3. 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. — See " Bell's Euclid," prop. v. book i. ; or " Tate's Geometry," &c. arts. 18 and 27SECTION... | |
 | Great Britain. Committee on Education - Education - 1848 - 514 pages
...point within it. 3. The angles at the base of an isosceles triangle are equal to each other, and if tho equal sides be produced the angles on the other side of the base shall be equal. Section 2. 1. Prove that the sum of the three angles of a triangle equals two right angles.... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...which the equal sides are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. THEOR. The angles at the base of an Isosceles triangle...another; and, if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC be an Isosceles triangle, of which the side... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...are BA, AC greater than BD, DC. Therefore, if from a point, &c. PROPOSITION X. THEOREM. The angles at the base of an isosceles triangle are equal to one another. Let ABC be an isosceles triangle, of which the side AB is equal to AC; then will the angle B be equal... | |
 | 1852 - 316 pages
...though made for time, survives for aye, And, though it hath beginning, sees no end." . III. The angles at the base of an isosceles triangle are equal to...produced, the angles on the other side of the base are also equal. IV. In any right-angled triangle the square of the side subtending the right augle... | |
 | Euclides - 1852 - 152 pages
...coincide with EF, unless it be possible for two straight lines to enclose a space.] c 2 BOOK I. PEOP. V. THEOR. The angles at the base of an Isosceles triangle...another ; and if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC be an Isosceles triangle, of which the side... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...equal sides are opposite shall be equal, each to each. Which was to be demonstrated. PROPOSITION V. THEOR. The angles at the base of an isosceles triangle...another ; and if the equal sides be produced, the angle* upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which the... | |
 | Euclides - Geometry - 1853 - 334 pages
...proved. PROP. V. THEOE. If a triangle be isosceles : then (1) the angles at the base shall be equal ; (2) if the equal sides be produced, the angles on the other side of the base shall be equal Let the triangle ABC be isosceles, having the side AB equal to the side AC. Then (1) the angle... | |
 | Euclides - 1853 - 146 pages
...Which was to be demonstrated. M PROP. V. — THEOREM. The angles at the base of an isosceles Mangle are equal to one another ; and if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABCbe an isosceles triangle, of which the side... | |
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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. 
