 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. Let ABC be an isosceles triangle, of which the side AB is equal to AC, and let the...  Elements of geometry, based on Euclid, books i-iii - Page 13by Edward Atkins - 1876 - 119 pagesFull view - About this book
 | University of Oxford - Education, Higher - 1863 - 316 pages
...angles. 3. Describe a square that shall be equal to a given rectilineal figure. 4. 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 to one another. 5. Construct a triangle of which the sides... | |
 | Robert Potts - 1863 - 482 pages
...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 one another ; and, if the equal sides be produced, the angles on the other side of the base shall also be equal. Prove, without assuming any proposition subsequent... | |
 | Euclides - 1864 - 262 pages
...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... | |
 | Euclides - 1864 - 448 pages
...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... | |
 | Architecture - 1865 - 276 pages
...square, oblong, rhombus, rhomboid, and trapezium ? 2. Prop. 5. — Theorem. 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 opposite site of the base shall be equal. Given the vertical angle, and a side to construct... | |
 | Euclides - 1865 - 402 pages
...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 Playfair - Geometry - 1855 - 350 pages
...•ides are opposite, shall be equal, each to each. /• PROP. V. THEOR. ./ The angles at the base of an Isosceles triangle are equal to one another...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 - 424 pages
...angle DFE. Wherefore, if two triangles &c. QED r"-' PROPOSITION 5. THEOREM. Ttie~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 to one another. Let ABC be an isosceles triangle, having... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...the angle DFE. Wherefore, if two triangles &c. QED PROPOSITION 5. THEOREM. TJie 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 to one another. Let ABC be an isosceles triangle, having... | |
 | James Et Al Parton - History - 1868 - 656 pages
...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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