 | Robert Potts - 1863 - 482 σελίδες
...a right line, a right angle, parallel lines, a rKombus, and an acute-angled triangle. 2. The angles at the base of an isosceles triangle are equal to...produced, the angles on the other side of the base shall also be equal. Prove, without assuming any proposition subsequent to the preceding, that the diagonals... | |
 | Euclides - 1863 - 74 σελίδες
...distance AB. PROF. 5. — THEOR. The angles at the base of an isosceles triangle are equal to each ether ; and if the equal sides be produced, the angles on the other side of the base shall be equal, CON.— Pst. 2, P. 3, Pat. 1.— DEM.— P. 4, Ax. S, Def. 24, Ax. 1. E. 1 4 C. 1 2 D. 1 2 3 4 Hyp.... | |
 | University of Oxford - 1863 - 316 σελίδες
...straight lines, a gnomon. 2. 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. 3. Bisect a given finite straight line, that is, divide it into two equal parts. 4. If from the ends... | |
 | Euclides - 1864 - 448 σελίδες
...demonstrated. PROPOSITION V. THEOREM. The angles at the base of an isosveles 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... | |
 | Euclides - 1864 - 262 σελίδες
...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 side AB is equal to AC, and let the equal sides AB, ACbe... | |
 | 1865 - 276 σελίδες
...definitions of a square, oblong, rhombus, rhomboid, and trapezium ? 2. Prop. 5. — Theorem. The angles at the base of an isosceles triangle are equal to...if the equal sides be produced, the angles on the opposite site of the base shall be equal. Given the vertical angle, and a side to construct the triangle.... | |
 | Euclides - 1865 - 402 σελίδες
...angles are equal . . . . . . I. 15. . B. Relating to the Sidet and Angles of Triangles. 1. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be prodnced, the angles on the other side of the base are equal . . . . , . I. 5. 2. Conversely, if two... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1865 - 106 σελίδες
...interior angles of a hexagon equal ? [C.] 32. 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 equal. [0.] EXAMINATION PAPER. MONDAY. Divinity. 60. How long were the Jews in captivity at Babylou... | |
 | William Harris Johnston - 1865 - 478 σελίδες
...Tho proof of thle method depends on Euclid, Book I.. Prop. 5, in which it is shown that the angles at the base of an isosceles triangle are equal to one another (in the present instance, the angle то С D, and the angle m D С that would be formed by drawing... | |
 | Robert Potts - 1865 - 528 σελίδες
...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 sife of the base sJu1ll be equal. Let AB C be an isosceles triangle of which the side AB is equal to... | |
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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. 
