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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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Nature, Volume 21

Sir Norman Lockyer - Electronic journals - 1880
...Theorem VI. of the syllabus, which is the same as as Proposition V. of Euclid, namely, "The angles at the base of an isosceles triangle are equal to one another," the syllabus suggests a different demonstration from that of Euclid. The extreme complication of the...
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Elementary notions of logic, designed as prolegomena to the study of geometry

Alfred Milnes - 1880
...(Wilson, I. 22). 56. Also for Euc. I. 39 (Wilson, II. 4). 57. Also for Euc. I. 40. 58. " The angles at the base of an isosceles triangle are equal to one another." Express this as an hypothetical proposition, and when so expressed, convert it. 59. Are the enunciations...
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Damon; or The art of Greek iambic making. [With] Key

John Herbert Williams - 1881
...eveo-Ti фam's, A. 5). — Winkelmann. * Five lines. The angles at (тгepi) the base (insert ye) of an isosceles triangle are equal to one another ; and if the equal sides ('the sides themselves') be produced (fxrKvvш, fut. pass.), then the angles also on-the-otherside-of...
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Guide to preliminary army examination

John Gibson - 1881
...your answer to it, or no marks will be awarded. 1. The angles at the base of an isosceles triangle FGH 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. 2. At a given point P in a given straight...
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The Doctrine of Germs, Or, The Integration of Certain Partial Differential ...

Samuel Earnshaw - Differential equations, Partial - 1881 - 108 pages
...vol. 1. 1C5 ; n. 5t, 9G, 1-1") ; Diogenes Laertius lib. I. cap. I. 8, 6. diameter. (2) The angles at the base of an isosceles triangle are equal to one another. (3) When two straight lines cut one another the vertical angles are equal. (4) A method of determining...
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An Introduction to the Ancient and Modern Geometry of Conics: Being a ...

Charles Taylor - Conic sections - 1881 - 384 pages
...1. 163 ; II. 54, 9:3, 1 H) ; Diogenes Laertius lib. I. cap. I. 3, 6. diameter. (2) The angles at the base of an isosceles triangle are equal to one another. (3) When two straight lines cut onfe another the vertical angles are equal. (4) A method of determining...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...sides oj a triangle be equal to one. another, the angles which are opposite to the equal sides, are aim equal to one another ;" and If the equal sides be produced, the anglet upon the other side of the base shall likewise be equal. PROP. VI. THEOREM. If two angles of...
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Works, Volume 3

Herbert Spencer - 1881
...the abstract terms are forthwith abandoned, and the proposition is re-stated in a concrete form. " Let ABC be an isosceles triangle, of which the side AB is equal to the side AC ; then the angle ABC shall be equal to the angle AC B." By a series of steps which...
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The Cambridge Examiner, Volume 3

Education, Higher - 1883
...straight line, or divide it into two equal parts. 3. Show by the method of superposition that the angles at the base of an isosceles triangle are equal to one another. 4. Triangles on the same base and between the same parallels are equal. 5. Distinguish clearly between...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882
...advised not to confine themselves to one paper, but to make use of the whole set. (a) 1. The angles at the base of an isosceles triangle are equal to...angles upon the other side of the base shall be equal. In Euclid's figure for this proposition, if BG, CF meet in H, show that AH bisects the angle BAG. 2....
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