| 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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