 | Euclid, Isaac Todhunter - 1883 - 428 pàgines
...angle ACB to the angle DFE. Wherefore, if two triangles &c. QED PROPOSITION' 5. THEOREM. TJie 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. Let ABC be an isosceles triangle, having... | |
 | Euclides - 1883 - 176 pàgines
...is centre of 0 DEF, AE = AD (Def. 11), and AD = C (cons.), .-. AE = CQEF EU. I. 5. THEOR. 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. Given AB = AC, and let AB and AC... | |
 | Stewart W. and co - 1884 - 272 pàgines
...remaining angles of the other, and be equal to them, viz., ABC to DEF, and ACB to DFE. V. — The angles at the base of an isosceles triangle are equal to...produced, the angles upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which AB is equal to AC, and let AB, AC be produced... | |
 | Woolwich roy. military acad - 1884 - 148 pàgines
...Euclid respectively used for the first time ? What axioms are used in Prop. IV., Book /. ? i. 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. State fully the converse of this proposition.... | |
 | Edmund Lawrence - 1884 - 376 pàgines
...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... | |
 | Alfred Sidgwick - 1884 - 420 pàgines
...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 - 182 pàgines
...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 - 416 pàgines
...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... | |
 | Euclides - 1884 - 214 pàgines
...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... | |
 | Eduard von Hartmann, William Chatterton Coupland - 1884 - 420 pàgines
...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... | |
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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. 
