| 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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