 | Euclides - 1864 - 448 pages
...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 be produced to D and E. Then the angle ABCsha.ll be equal... | |
 | Euclides - 1864 - 262 pages
...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 produced to D and E. • Then the angle ABC shall be... | |
 | Architecture - 1865 - 276 pages
...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...another ; and 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... | |
 | Euclides - 1865 - 402 pages
...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... | |
 | William Harris Johnston - 1865 - 478 pages
...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... | |
 | John Playfair - Geometry - 1855 - 350 pages
...which the equal •ides are opposite, shall be equal, each to each. /• PROP. V. THEOR. ./ The angles at the base of an Isosceles triangle are equal to...be produced, the angles upon the other side of the bast shall be equal. Let ABC be an isosceles triangle, of which the side AB is equal to AC and let... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...angle ACB to the angle DFE. Wherefore, if two triangles &c. QED PROPOSITION 5. THEOREM. TJie angles at the base of an isosceles triangle are equal to...another ; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. Let ABC be an isosceles triangle, having... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...ACB to the angle DFE. Wherefore, if two triangles &c. QED r"-' PROPOSITION 5. THEOREM. Ttie~angles at the base of an isosceles triangle are equal to...another; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. Let ABC be an isosceles triangle, having... | |
 | Robert Potts - 1868 - 434 pages
...of an isosceles triangle are equal to each nfher ; 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 produced to D and E. Then the angle ^.BCshall be equal... | |
 | James Et Al Parton - History - 1868 - 656 pages
...Proposition not only inwardly, but as an outward application; so that it might have read thus : " The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced in curl papers, the angles on the other side of the os frontis are also equal." But in the laughing,... | |
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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. 
