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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: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 15
by Robert Simson - 1806 - 518 pages
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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 - 312 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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A treatise on spherical trigonometry, by W.J. M'Clelland and T. Preston, Part 1

William John M'Clelland - 1885
...third side. Cf. Euc., Book I., Prop, xx., with Chap, i., Art. 3. See also Euc., XI. xx. (2). The angles at the base of an isosceles triangle are equal to one another. (Euc., I. v.) For, let tangents be drawn to the equal sides from the extremities of the base of the...
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Annual Report

Canada. Department of the Interior - 1888
...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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The Passenger from Scotland Yard

H. Freeman Wood - Police - 1888 - 398 pages
...the moment, in the Wilmot affair. The passenger from Scotland Yard went on to prove that the angles at the base of an isosceles triangle are equal to one another, and that, if the equal sides be produced, the angles on the other side of the base shall be equal to one...
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Logic: Or, The Morphology of Knowledge, Volume 1

Bernard Bosanquet - Knowledge, Theory of - 1888 - 638 pages
...The square of Figures. the hypotenuse is equal to the squares of the containing sides.' ' The angles at the base of an isosceles triangle are equal to one another.' Such judgments as these are among the simplest results of mediate enumeration 1 as applied to space,...
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Pacific Educational Journal, Volumes 3-4

Education - 1888
...words, " He that walketh with wise men shall be wise." The boy that has learned to prove that the angles at the base of an isosceles triangle are equal to one another — especially if he has learned it after Euclid — has made a certain gain in mental power. The boy...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889
...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...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 - 272 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 - 515 pages
...its sides equal to each other is called an 'isosceles' triangle. 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 on the other side of the base shall be equal to one another. Let ABC be an isosceles triangle, having...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890
...angle. For Admission as Pupil-Teacher of the Fourth Class. (One hour and a-half allowed.) 1. The angles at the base of an isosceles triangle are equal to one another. [Let DEF be the triangle, and use the following construction : — In DE take any point G, and from...
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