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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. "
Mathews' Euclid examination papers ... on Euc. i.-iv - Page 167
by Edward Harri Mathews - 1879
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...are opposite shall be equal, each to each. Which was to be demonstrated. PROP. V. THEOR. 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. Let ABC be an Isosceles triangle, of which the side...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...are BA, AC greater than BD, DC. 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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Papers for the Schoolmaster, Volume 2

1852 - 316 pages
...though made for time, survives for aye, And, though it hath beginning, sees no end." . III. The angles at the base of an isosceles triangle are equal to...produced, the angles on the other side of the base are also equal. IV. In any right-angled triangle the square of the side subtending the right augle...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...unless it be possible for two straight lines to enclose a space.] c 2 BOOK I. PEOP. V. THEOR. 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. Let ABC be an Isosceles triangle, of which the side...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...opposite shall be equal, each to each. Which was to be demonstrated. PROPOSITION V. THEOR. The angles at the base of an isosceles triangle are equal to...another ; and if the equal sides be produced, the angle* upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which the...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...proved. PROP. V. THEOE. If a triangle be isosceles : then (1) the angles at the base shall be equal ; (2) if the equal sides be produced, the angles on the other side of the base shall be equal Let the triangle ABC be isosceles, having the side AB equal to the side AC. Then (1)...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...Which was to be demonstrated. M PROP. V. — THEOREM. The angles at the base of an isosceles Mangle 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 ABCbe an isosceles triangle, of which the side...
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 520 pages
...assumption, and the previous assumption is made the conclusion. Thus to the proposition " The angles at the base of an isosceles triangle are equal to one another" the converse would be "Shew that, if the angles at the base of a triangle are equal to one another,...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...prisoners, whose fate we have now to record. MACKINTOSH. V.—EUCLID AND GEOMETRICAL CONIC SECTIONS. 2. The angles at the base of an isosceles triangle...another; and, if the equal sides be produced, the angle* on the other side of the base shall also be equal. - 1. Define a right line, a right angle,...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...equal to one side of the other, the squares are equal in all respects. PROP. V. THEOREM. The angles at the base of an isosceles triangle are equal to one another: arid if the equal sides be produced, the angles upon the other side of the base shall be equal. Let...
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