| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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