| Marianne Nops - 1882
...and/ ACB „ „ zDFE Wherefore if two triangles &c. — QED PROPOSITION V., THEOREM 2. 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. Let ABC be an isosceles A, having side... | |
| John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882
...Define the following : — superficies, rhomboid, gnomon and parallel straight lines. 2. 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. 3. If a straight line be divided into... | |
| Education Ministry of - 1882
...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...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 line perpendicular... | |
| Herbert Spencer - Psychology - 1882
...this, the abstract terms are forthwith abandoned, and tho proposition is re-stated in a concrete form.. **"Let ABC be an isosceles triangle, of which the side AB is** equal ho tho side AC; then tho angle ABC shall be equal to the angle AC B." By a series of steps which... | |
| Euclides, James Hamblin Smith - 1883
...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...of the base shall be equal. Let ABC be an isosceles** A , having AB=AC. Produce AB, AC to D and K Then must L ABC= L ACB, and L DBC= L ECB In BD take any... | |
| Euclides - 1883 - 96 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...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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 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...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... | |
| Moffatt and Paige - 1883
...isosceles triangle are equal to each other j and if the equal sides be prod^^ced, the angles on thi **other side of the base shall be equal. Let ABC be an isosceles triangle, of which the side AB is** equal to the side AC, and let the equal sides AB, AC be produced to D and E. Then the angle ABC shall... | |
| 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...equal. Let ABC be an isosceles triangle, of which** AB is equal to AC, and let AB, AC be produced to D and E, the angle ABC shall be equal to ACB, and... | |
| 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...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.... | |
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