| Mathematics - 1836 - 488 pages
...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. COR. Every equilateral triangle is also equiangular. VI. If two angles of a triangle be equal to one another, the sides which subtend, or are opposite to... | |
| Euclides - 1845 - 546 pages
...demonstrated. PROPOSITION V. 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 sideAB is equal to AC, and let the equal sides... | |
| 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. Council on Education - Education - 1848 - 532 pages
...superficies, and a circle. 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 2. 1. Prove that the sum of the three angles of a triangle equals two right angles.... | |
| 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.... | |
| 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.... | |
| 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... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...12. FIKST DIVISION (A.) 1. THE angles at the base of an isosceles triangle are equal to one another, and if the equal sides be produced the angles on the other side of the base shall be equal. The line which bisects the vertical angle of an isosceles triangle divides it into two equal... | |
| Euclides - 1858 - 248 pages
...two rt. angles. Def. 30. I. A square has its sides equal, and its angles rt. angles. 5. I. The angles at the base of an isosceles triangle are equal, and...produced, the angles on the other side of the base shall be equal. Ax. 1. Magnitudes, &c. 6. I. If two angles of a triangle be equal to one another, the sides... | |
| Education - 1859 - 414 pages
...Define, a plane superficies, a circle, a rhombus, a trapezium, and parallel straight lines. 2. The angles at the base of an isosceles triangle are equal, and...produced the angles on the other side of the base shall be equal. 186 (II.)— SCSS. 2. GG3 3. Any JL 3. Any two sides of a triangle are together greater than... | |
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