| Euclides - 1864
...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
...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
...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
...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
...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 - 317 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 - 400 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 - 400 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 - 410 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... | |
| JAME PARTO - 1868
...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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