 | Euclid - 1904 - 456 σελίδες
...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...produced, the angles on the other side of the base shall also be equal to one another. A Let ABC be an isosceles triangle, in which the side AB is equal to... | |
 | 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...angles on the other side of the base shall be equal to one another," has the corollary, "Hence every equilateral triangle is al-Ji equiangular." Corrective... | |
 | Joseph Gregory Horner - 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...angles on the other side of the base shall be equal to one another," has the corollary, " Hence every equilateral triangle is also equiangular/' Corrective... | |
 | Horace William Brindley Joseph - 1906 - 564 σελίδες
...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... | |
 | Alva Walker Stamper - 1906 - 163 σελίδες
...credited with having added to geometry these five theorems:3 (1) A circle is bisected by its diameter; (2) the angles at the base of an isosceles triangle are equal ; (3) if two straight lines intersect the vertical angles are equal ; (4) an angle inscribed in a semicircle... | |
 | Harold Henry Joachim - 1906 - 182 σελίδες
...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... | |
 | 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... | |
 | 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.... | |
 | Sir Max Beerbohm - 1922 - 197 σελίδες
...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... | |
 | 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 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. 
