 | Woolwich roy. military acad - 1884
...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...other side of the base shall be equal to one another. State fully the converse of this proposition. 3. If one side of a triangle be produced, the exterior... | |
 | John Harris - 1884 - 144 Seiten
...fifth Prop, of Euclid's first book : — The angles at the base of an isosceles triangle arc equal, and, if the equal sides be produced, the angles on...other side of the base shall be equal to one another. A young student, gifted with a naturally quick judgment (a very distinct gift, be it observed, from... | |
 | Stewart W. and co - 1884
...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...another ; and if the equal sides be produced, the angles upon the other side of the base shall be equal. Let ABC be an isosceles triangle, of which AB is equal... | |
 | 1884
...number 3 if possible. \. The angles at the base of an isosceles triangle are equal to each other ; and if the equal sides be produced, the angles on the other side of the base shall be equal. Prop. 5, Bk. I. 2. If at a point in a straight line, two other straight lines, «l'on the opposite... | |
 | Euclides - 1884
...FORM TO THIS PKOPOSITION V. The angles at the base of an isosceles triangle are equal to each other; and if the equal sides be produced, the angles on the other side of the base shall be equal. Let be an isosceles triangle of which the side is equal to , and let the equal sides , be produced... | |
 | Euclides - 1884
...every respect. PROPOSITION 5. THEOREM. The angles at the base of an isosceles triangle are equal ; and if the equal sides be produced, the angles on the other side of the base shall also be equal. In A ABO, let AB= AC, and let AB, AC be produced to D and E: it is required to prove... | |
 | Stewart W. and co - 1884
...produced ever so far both ways, do not meet." SECTION II. (o) If the equal sides of an isosceles triangle be produced, the angles on the other side of the base shall be equal. (a) See Euclid, Book I., Proposition 5. (b) Require to prove that ang. NOM = ang. OMK in a similar... | |
 | Edmund Lawrence - 1884 - 358 Seiten
...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... | |
 | 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,... | |
 | 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... | |
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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. 
