| Euclides - 1884
...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, William Chatterton Coupland - 1884
...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... | |
| Eduard von Hartmann - 1884 - 1108 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... | |
| Alfred Sidgwick - 1884 - 375 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... | |
| Euclides - 1884
...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... | |
| Oxford univ, local exams - 1885
...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...other side of the base shall be equal to one another.** 4. If a straight line be divided into any two parts, the rectangles contained by the whole and each... | |
| 1885
...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...; and, if the 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... | |
| Augustine Birrell - 1885
...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... | |
| Augustine Birrell - 1885 - 232 páginas
...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... | |
| Euclid, John Casey - 1885 - 312 páginas
...after the student has read Prop. xxxn.) PEOP. V.— THEOREM. The angles (ABC, ACE) 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 (DBC, ECB) below the base shall be equal. Dem. — In BD... | |
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