 | Edmund Lawrence - 1884 - 376 páginas
...resides. The assertion that all men are born equal has really no meaning. Euclid proves that the angles at the base of an isosceles triangle are equal to one another; and they are so in magnitude, which is the only attribute or quality which x an angle has. But men have... | |
 | Eduard von Hartmann, William Chatterton Coupland - 1884 - 420 páginas
...consciousness, ie, our general assertion is confirmed here too. Eg, if I want to prove that the angles at the base of an isosceles triangle are equal to one another, I only need to remember the general proposition that in every triangle equal angles are opposite to... | |
 | Euclides - 1884 - 214 páginas
...Postulate 1. A straight line mfcy be drawn from any one point to any other point. Proposition V. The angles at the base of an isosceles triangle are equal to one another. Axiom 9. The whole is greater than its part. PROPOSITION VII. THEOREM. On the same base, and on the... | |
 | Euclides - 1884 - 182 páginas
...the examiner, and indicate the relative importance of the questions. 1875. 7. Prove that the angles at the base of an isosceles triangle are equal to one another. (8) 8. Prove that any two sides of a triangle are together greater than the third. (8) 9. Let A, B,... | |
 | Eduard von Hartmann - 1884 - 420 páginas
...consciousness, ie, our general assertion is confirmed here too. Eg, if I want to prove that the angles at the base of an isosceles triangle are equal to one another, I only need to remember the general proposition that in every triangle equal angles are opposite to... | |
 | Alfred Sidgwick - 1884 - 420 páginas
...showing a valid reason why the assertion should deserve belief. So again, to prove that the angles at the base of an isosceles triangle are equal to one another, means to establish the truth of that proposition ; and the manner of performing the process certainly... | |
 | Eduard von Hartmann - 1884 - 416 páginas
...consciousness, ie, our general assertion is confirmed here too. Eg, if I want to pro.ve that the angles at the base of an isosceles triangle are equal to one another, I only need to remember the general proposition that in every triangle equal angles are opposite to... | |
 | 1885 - 580 páginas
...Euclid this name really belongs — the sth, 2oth or 47th. They are as follows : PROP. V. The angles at the base of an isosceles triangle are equal to...equal sides be produced, the angles upon the other sides of the base shall be equal. PROP. XX. Any two sides of a triangle are together greater than the... | |
 | Oxford univ, local exams - 1885 - 358 páginas
...which Euclid proves the equality of two triangles. 2. What is Euclid's test of equality ? 3. 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. 4. If a straight line be divided into... | |
 | Euclides - 1885 - 340 páginas
...after the student has read Prop. xxxu.) PROP. V.— THEOREM. The angles (ABC, ACB) at the base (BC) of an isosceles triangle are equal to one another, and if the equal sides (AB, AC) be produced, the external angles (DEC, ECB) below the base shall be equal. Dem. — In BD... | |
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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. 
