 | Euclid, John Casey - Euclid's Elements - 1885 - 340 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 - 182 pages
...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 - 756 pages
...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 - 412 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 - 430 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 - 596 pages
...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 - 356 pages
...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 - 306 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 - 538 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 - 526 pages
...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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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. 
