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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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Logic; Or, The Analytic of Explicit Reasoning

George Hugh Smith - Logic - 1901 - 266 pages
...slight variation in the statement of it to make this apparent, as, eg, as follows: Prop. V. The angles at the base of an isosceles triangle are equal to one another. Or, referring to the figure, in the isosceles triangle ABC the angles a and c are equal. The figure...
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Manual

1903
...not measure it off with a graduated scale? How would you draw half a dozen such lines? 3. The angles at the base of an isosceles triangle are equal to one another : and, if the sides be produced, the angles on the other side of the base are also equal. 4. Show how to draw a straight...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 456 pages
...angle BCD equal to the angle ADC : prove that BD is equal to AC. PROPOSITION 5. THEOBEM. 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 also be equal to one another. A Let ABC be an isosceles triangle,...
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Henley's Encyclopędia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - Engineering - 1906
...famous pons asinornin (the fifth proposition of the First Book of Euclid), which runs, " 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," has the corollary, " Hence every equilateral...
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Henley's Encyclopaedia of Practical Engineering and Allied Trades ...

1906
...famous pons asiitorum (the fifth proposition of the First Book of Euclid), which runs, " 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," has the corollary, "Hence every equilateral...
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An Introduction to Logic

Horace William Brindley Joseph - Logic - 1906 - 564 pages
...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 Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1906
...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 nature of truth: an essay

Harold Henry Joachim - Knowledge, Theory of - 1906 - 182 pages
...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, Volume 24

Popular culture - 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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Principles of psychology

Herbert Spencer - Philosophy - 1910
...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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