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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: Comprising the ... - Page 10
by Euclid, Isaac Todhunter - 1867 - 400 pages
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...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 - 578 pages
...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 - Conic sections - 1858 - 256 pages
...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 ...

Education - 1859 - 412 pages
...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 - Examinations - 1859 - 356 pages
...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 - 336 pages
...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 Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...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 - 714 pages
...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 pages
...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 pages
...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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