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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. "
First principles of Euclid: an introduction to the study of the first book ... - Seite 88
von T S. Taylor - 1880
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An Introduction to Logic

Horace William Brindley Joseph - 1906 - 564 Seiten
...the triangle in which it is contained are equal to two right angles, and to the fact that the angles at the base of an isosceles triangle are equal to one another, and shows now only that the angle in the semicircle must therefore necessarily be equal to the other two...
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The Nature of Truth: An Essay

Harold Henry Joachim - 1906 - 182 Seiten
...clearer if we consider a false negative and a true affirmative judgement. It is true that 'the angles at the base of an isosceles triangle are equal to one another/ because (I presume) in the real counterpart of our judgement the angles are really united by the relation...
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The Bookman, Band 24

1907
...thought of the past. If Euclid were alive to-day (and I dare say he is), he would not say "the angles at the base of an isosceles triangle are equal to one another." He would say, "To me (a very frail and fallible being, remember) it does somehow seem that these two...
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Empire Club Speeches, Bände 10-11

1915
...seat, has proven to us all that the angles at the base of an isosceles triangle are not equal, and that if the equal sides be produced the angles on the other side of the base are not equal either. Therefore, Mr. Speaker, may I be allowed to ask what I am to do about the matter....
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A Christmas Garland

Sir Max Beerbohm - 1922 - 197 Seiten
...thought of the past. If Euclid were alive to-day (and I dare say he is) he would not say, " The angles at the base of an isosceles triangle are equal to one another." He would say, "To me (a very frail and fallible being, remember) it does somehow seem that these two...
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The Collected Essays & Addresses of the Rt. Hon. Augustine Birrell ..., Band 2

Augustine Birrell - 1923
...be more difficult to prove that the angles at the base of an isosceles triangle are equal, and that if the equal sides be produced, the angles on the other side of the base shall be equal, than it was to describe an equilateral triangle on a given finite straight line; yet no one but an...
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The Works of H. G. Wells, Band 6

Herbert George Wells - 1925
...demonstrate, for example, that the angles at the base of an isosceles triangle are equal, and that if the equal sides be produced the angles on the other side of the base are equal also; or that the square on the hypotenuse of a right-angled triangle is equal to the sum...
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The Works of H.G. Wells, Band 6

Herbert George Wells - 1925 - 10 Seiten
...demonstrate, for example, that the angles at the base of an isosceles triangle are equal, and that if the equal sides be produced the angles on the other side of the base are equal also; or that the square on the hypotenuse of a right-angled triangle is equal to the sum...
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American Photography, Band 4,Ausgaben 1-6

1910
...Euclid in itself is not of much practical use — no one wants to prove in everyday life that the angles at the base of an isosceles triangle are equal to one another or that the three angles of a triangle are equal to two right angles, but you learn Euclid in order...
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A Mathematics Sampler: Topics for the Liberal Arts

William P. Berlinghoff, Kerry E. Grant, Dale Skrien - 2001 - 602 Seiten
...according to Euclid's description in the proof. Proposition 5: The angles opposite the equal sides of an isosceles triangle are equal to one another; and, if the equal sides are extended further, the angles made with the third side will be equal. Proof: Let ABC be an isosceles...
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