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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. "
First principles of Euclid: an introduction to the study of the first book ... - Seite 88
von T S. Taylor - 1880
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...equal, and its angles rt. angles. 5. I. 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 shall be equal. Ax. 1. Magnitudes, &c. 6. I. If two angles of a triangle be equal to one another, the sides also which...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 Seiten
...isosceles triangle : prove that 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 will be equal. Enunciate the proposition in Euclid's First Book, in the proof of which, the property,...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 234 Seiten
...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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Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859
...trapezium, and parallel straight lines. 2. 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 shall be equal. 186 (II.)— SCSS. 2. GG3 3. Any JL 3. Any two sides of a triangle are together greater than the third...
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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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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...angles on the other side of the base shall be equal. 3. If two straight lines cut one another, the angles which they make at the point where they cut, are...
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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...another ; and if the equal sides be produced, the angles upon the other side of the base shall also be equal. Given, ABC an isosceles triangle, of which the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 Seiten
...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. an isosceles triangle of which the side AB is equal to AC, and let the equal sides AB, AC be produced...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 Seiten
...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
...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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