 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...Define the following : — superficies, rhomboid, gnomon and parallel straight lines. 2. The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced, the angles on the other side of the base shall be equal to one another. 3. If a straight... | |
 | Education Ministry of - 1882 - 292 pages
...Male Candidates. EUCLID. Capital letters, and not numbers, must be used in the diagrams. 1. The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced the angles on the other side of the base shall be equal to one another. 2. Draw a straight... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...advised not to confine themselves to one paper, but to make use of the whole set. (a) 1. 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. In Euclid's figure for this... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...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 one 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... | |
 | Euclides - 1883 - 176 pages
...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 one 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... | |
 | Euclides, James Hamblin Smith - 1883 - 376 pages
...give good examples of symmetrical constructions. 11. Euclid's Proof of 1. 5. The angles at the lose 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. Let ABC be an isosceles A ,... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...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 one 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... | |
 | Stewart W. and co - 1884 - 272 pages
...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 one 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,... | |
 | Edmund Lawrence - 1884 - 376 pages
...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 - Consciousness - 1884 - 420 pages
...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. 
