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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. 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 - Side 13
av Edward Atkins - 1876 - 119 sider
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Responsions

University of Oxford - 1863 - 316 sider
...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...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volum 2

Robert Potts - 1863 - 482 sider
...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...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 sider
...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...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 sider
...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...
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Papers Read at the Royal Institute of British Architects

1865 - 276 sider
...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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 sider
...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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 350 sider
...•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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 sider
...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 sider
...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...
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Eminent Women of the Age: Being Narratives of the Lives and Deeds of the ...

James Et Al Parton - 1868 - 656 sider
...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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