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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. Let ABC be an isosceles triangle, of which the side AB is equal to AC, and let the... "
Elements of geometry, based on Euclid, books i-iii - Page 13
by Edward Atkins - 1876 - 119 pages
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...rhombus, and a parallelogram. Is a rectangle the same thing as an oblong ? 2. 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. 4. Make a triangle of which the sides...
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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885 - 340 pages
...after the student has read Prop. xxxu.) PROP. V.— THEOREM. The angles (ABC, ACB) at the base (BC) of an isosceles triangle are equal to one another, and if the equal sides (AB, AC) be produced, the external angles (DEC, ECB) below the base shall be equal. Dem. — In BD...
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The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...after the student has read Prop. xxxn.) PEOP. V.— THEOREM. The angles (ABC, ACE) at the base (BC) of an isosceles triangle are equal to one another, and if the equal sides (AB, AC) be produced, the external angles (DBC, ECB) below the base shall be equal. Dem. — In BD...
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Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...from the top. What is the height of the trees ? 8 8 8 15 20 10 15 GEOMETRY. 1. The angles at the base1 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. Prove the above proposition by the principle of superposition...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...respectively used for the first time ? What axioms are used in Prop. 1 V., Book I. ? 2. 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. State fully the converse of this proposition....
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - Surveying - 1889 - 306 pages
...equal sides are opposite. 2. The angles at the base of an isosceles triangle, ABC and A c B, TRIANGLES. are equal to one another ; and if the equal sides be produced the angles on the other side of the base, DBC and B c E, shall be equal to one another. 8. If two triangles have...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...equal to each other is called an 'isosceles' triangle. PROPOSITION 5. THEOREM. 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. Let ABC be an isosceles triangle, having...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...equal, each to each, namely those to which the equal sides are opposite. 5. 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. 6. If two angles of a triangle be equal,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...all respects; i.4. so that XC is equal to YB. i;.E.II. PROPOSITION 5. THEOREM. The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced, tk angles on the other side of the base shall also be equal to on another. Let ABC be an isosceles...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...and 6 1. Define— Plane parallelogram. 2. The angles at the base of an isosceles triangle »re 21 equal to one another ; and if the equal sides be produced, the angles on the other side of the base sha, I also be equal to one another. 3. To bisect a given angle ; that...
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