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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. "
A Text-book of Geometrical Deductions - Page 135
by James Andrew Blaikie, William Thomson - 1891
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...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 also be equal. COR. Every equilateral triangle is also equiangular. VI. If two angles of a triangle be equal to one another, the sides which subtend, or are opposite to...
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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...
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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....
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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....
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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...
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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....
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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...
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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...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...two rt. angles. Def. 30. I. A square has its sides equal, and its angles rt. angles. 5. I. The angles at the base of an isosceles triangle are equal, and...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...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

Education - 1859 - 414 pages
...Define, a plane superficies, a circle, a rhombus, a trapezium, and parallel straight lines. 2. The angles at the base of an isosceles triangle are equal, and...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...
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