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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. "
The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ... - Pagina 10
door Isaac Todhunter - 1880 - 400 pagina’s
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pagina’s
...income tax on his income has 1632/. 18s. lOrf. remaining ; what had he at first ? Euclid. 1. The angles at the base of an isosceles triangle are equal to...another; and if the equal sides be produced, the angles upon the other side of the base shall be equal. 2. The straight lines which join the extremities of...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pagina’s
...two triangles have, &c. (see Enunciation). Which was to be shown. PROPOSITION 5. -THEOREM. The angles at the base of an isosceles triangle are equal to...another; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. (References — Prop. I. 3, 4; ax. 3.) Hypothesis....
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volume 2

Robert Potts - 1863 - 482 pagina’s
...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...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 pagina’s
...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....
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Responsions

University of Oxford - 1863 - 316 pagina’s
...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...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

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

Euclides - 1864 - 448 pagina’s
...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...
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Papers Read at the Royal Institute of British Architects

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

Euclides - 1865 - 402 pagina’s
...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...
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Half-hour examination papers, for daily use

John Robertson (LL.D., of Upton Park sch.) - 1865 - 106 pagina’s
...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...
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