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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: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 19
av Robert Simson - 1806 - 518 sider
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 234 sider
...less than the sum of BA and AC, Therefore, if from a point, &c. PROPOSITION X. THEOREM. The angles at the base of an isosceles triangle are equal to one another. Let ABC be an isosceles triangle, of which the side AB is equal to AC ; then will the angle B be equal...
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859
...four right angles. B. The three angles of every triangle are equal to two right angles. C. The angles at the base of an isosceles triangle are equal to one another. D. Construct a parallelogram equal to a given rectilineal figure, with an angle equal to a given angle....
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1860 - 317 sider
...angles, to which the equal sides are opposite, shall be equal, each to each. PROP. V. THEOR. The angles at the base of an Isosceles triangle are equal to...angles upon the other side of the base shall be equal. In BD take any point F, and from AE the greater cut off AG equal (3. 1.) to AF, the less, and join...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...coincide, and therefore the angle GBC is equal to the angle HEF. PROPOSITION V. THEOREM. The angles at the base of an isosceles triangle are equal to...produced, the angles upon the other side of the base shall also be equal. Given, ABC an isosceles triangle, of which the side AB is equal to AC, and let the straight...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...angle, and a rhomboid. Explain the terms axiom, problem, hypothesis, reductio ad absurdum. 2. The 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. 3. If two straight lines cut one another, the angles...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 sider
...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...angles upon the other side of the base shall be equal. 2. The straight lines which join the extremities of two equal and parallel straight lines towards the...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...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...produced, the angles upon the other side of the base shall also be equal. (References — Prop. I. 3, 4; ax. 3.) Hypothesis. — 1. Let ABC be an isosceles triangle,...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...triangles have two sides of the one equal to two sides of the other, &c. PROP. V.— THEOREM. The angles at the base of an isosceles triangle are equal to...equal sides be produced, the angles upon the other fide of the base shall be equal. (References — Prop. l. 3, 4 ; ax. 3.) Let ABC be an isosceles triangle,...
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Responsions

University of Oxford - 1863
...right 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...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
...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...; 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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