 | George Hugh Smith - Logic - 1901 - 298 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... | |
 | 1903 - 896 pages
...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... | |
 | Euclid - Euclid's Elements - 1904 - 488 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,... | |
 | Joseph Gregory Horner - Engineering - 1906 - 562 pages
...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... | |
 | 1906 - 576 pages
...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... | |
 | Horace William Brindley Joseph - Logic - 1906 - 598 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... | |
 | Herbert Spencer - Psychology - 1906 - 788 pages
...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... | |
 | Harold Henry Joachim - Knowledge, Theory of - 1906 - 196 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... | |
 | Popular culture - 1907 - 990 pages
...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... | |
 | Herbert Spencer - Philosophy - 1910 - 780 pages
...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 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. 
