| Euclid, John Casey - Euclid's Elements - 1885 - 312 pages
...after the student has read Prop. xxxn.) PEOP. V.— THEOREM. The angles (ABC, ACE) at the base (BC) **of an isosceles triangle are equal to one another, and if the equal sides** (AB, AC) be produced, the external angles (DBC, ECB) below the base shall be equal. Dem. — In BD... | |
| William John M'Clelland - 1885
...third side. Cf. Euc., Book I., Prop, xx., with Chap, i., Art. 3. See also Euc., XI. xx. (2). The angles **at the base of an isosceles triangle are equal to one another.** (Euc., I. v.) For, let tangents be drawn to the equal sides from the extremities of the base of the... | |
| Canada. Department of the Interior - 1888
...from the top. What is the height of the trees ? 8 8 8 15 20 10 15 GEOMETRY. 1. The angles at the base1 **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 are equal. 2. Prove the above proposition by the principle of superposition... | |
| H. Freeman Wood - Police - 1888 - 398 pages
...the moment, in the Wilmot affair. The passenger from Scotland Yard went on to prove that the angles **at the base of an isosceles triangle are equal to one another, and** that, if the equal sides be produced, the angles on the other side of the base shall be equal to one... | |
| Bernard Bosanquet - Knowledge, Theory of - 1888 - 638 pages
...The square of Figures. the hypotenuse is equal to the squares of the containing sides.' ' The angles **at the base of an isosceles triangle are equal to one another.'** Such judgments as these are among the simplest results of mediate enumeration 1 as applied to space,... | |
| Education - 1888
...words, " He that walketh with wise men shall be wise." The boy that has learned to prove that the angles **at the base of an isosceles triangle are equal to one another** — especially if he has learned it after Euclid — has made a certain gain in mental power. The boy... | |
| E. J. Brooksmith - Mathematics - 1889
...respectively used for the first time ? What axioms are used in Prop. 1 V., Book I. ? 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. State fully the converse of this proposition.... | |
| George William Usill - Surveying - 1889 - 272 pages
...equal sides are opposite. 2. The angles at the base of an isosceles triangle, ABC and A c B, TRIANGLES. **are equal to one another ; and if the equal sides be produced the angles** on the other side of the base, DBC and B c E, shall be equal to one another. 8. If two triangles have... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...its sides equal to each other is called an 'isosceles' triangle. PROPOSITION 5. THEOREM. 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 triangle, having... | |
| Queensland. Department of Public Instruction - Education - 1890
...angle. For Admission as Pupil-Teacher of the Fourth Class. (One hour and a-half allowed.) 1. The angles **at the base of an isosceles triangle are equal to one another.** [Let DEF be the triangle, and use the following construction : — In DE take any point G, and from... | |
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