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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 on the other side of the base shall be equal to one another. "
Some Propositions in Geometry: In Five Parts - Page 70
by John Harris - 1884 - 144 pages
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Report to the Trustees of the Dick Bequest for the Benefit of the ..., Volume 2

Church schools - 1844 - 456 pages
...them. 1842. GEOMETRY. 1. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced, the angles on the other side of the base are equal. 2. Give different methods of drawing a straight line at right angles to another ; and explain...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 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. Let ABC be an isosceles triangle of which the sideAB is equal to AC, and let the equal sides AB, AC...
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The English Journal of Education, Volume 2

Education - 1848 - 542 pages
...Geometry," &c. page 21. 3. 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. — See " Bell's Euclid," prop. v. book i. ; or " Tate's Geometry," &c. arts. 18 and 27SECTION 2. 1....
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pages
...from a given point in it. 3. 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. SECTION II. 1. Prove that the sum of the three angles of a triangle equals two right angles. Given...
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Report of the Committee of Council on Education (England and Wales ..., Issue 1

Great Britain. Council on Education - Education - 1848 - 532 pages
...superficies, and a circle. 3. 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. Section 2. 1. Prove that the sum of the three angles of a triangle equals two right angles. Given the...
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Minutes of the Committee of Council on Education: with Appendices, Volume 1

Great Britain. Committee on Education - Education - 1848 - 514 pages
...point within it. 3. The angles at the base of an isosceles triangle are equal to each other, and if tho equal sides be produced the angles on the other side of the base shall be equal. Section 2. 1. Prove that the sum of the three angles of a triangle equals two right angles. Given the...
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Papers for the Schoolmaster, Volume 2

1852 - 316 pages
...beginning, sees no end." . III. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be 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 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) the angle ABC...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...12. FIKST DIVISION (A.) 1. THE angles at the base of an isosceles triangle are equal to one another, and if the equal sides be produced the angles on the other side of the base shall be equal. The line which bisects the vertical angle of an isosceles triangle divides it into two equal parts....
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...its sides 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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