 | Euclid, John Casey - 1885 - 340 σελίδες
...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... | |
 | Canada. Department of the Interior - 1888 - 756 σελίδες
...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,...produced, the angles on the other side of the base are equal. 2. Prove the above proposition by the principle of superposition without using any construction... | |
 | H. Freeman Wood - 1888 - 412 σελίδες
...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... | |
 | 1888 - 596 σελίδες
...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... | |
 | 1888 - 932 σελίδες
...attributed to Thalee : — (1) the circle is bisected by i ta character (Proel , op, eu., p. 157) ; (2) the angles at the base of an isosceles triangle are equal (Id. , p. 260) ; (8) when two straight lines cut each other the vertically opposite angles are equal... | |
 | Bernard Bosanquet - 1888 - 430 σελίδες
...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,... | |
 | E. J. Brooksmith - 1889 - 356 σελίδες
...axiom of Euclid 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...angles on the other side of the base shall be equal to one another. State fully the converse of this proposition. 3. If one side of a triangle be produced,... | |
 | George William Usill - 1889 - 306 σελίδες
...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...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 two sides of the one equal to... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...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...angles on the other side of the base shall be equal to one another. Let ABC be an isosceles triangle, having the side AB equal to the side AC, and let... | |
 | Queensland. Department of Public Instruction - 1890 - 526 σελίδες
...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. 
