The angles at the base of an isosceles triangle are equal to each other ; and if the equal sides be produced, the angles on the other sife of the base sJu1ll be equal. Annual Report - Page 621886Full view - About this book
| Augustus De Morgan - Mathematics - 1898 - 316 pages
...necessary to make in them : 1. Parallel lines never meet, or parallel lines are lines which never meet. 2. The angles at the base of an isosceles triangle are equal, or an isosceles triangle is a triangle having the angles at the base equal. The different species of... | |
| Manitoba. Department of Education - Education - 1900 - 558 pages
...of a Problem, and of a Theorem consist ? Distinguish them in questions two and three of this paper. 2. The angles at the base of an isosceles triangle are equal and if the equal sides be produced the angles on the otber side of the base are also equal. 3. To draw... | |
| 1901 - 488 pages
...Prove that equal triangles on the same base and on the same side of it are between the same parallels. 2. The angles at the base of an isosceles triangle are equal, and if the equal sides be produced, the external angles below the base shall be equal. Prove this proposition.... | |
| Education - 1901 - 548 pages
...BOOKS I. AND II. (1) Define a plane surface, a plane figure and a circle. Write out the Postulates. (2) The angles at the base of an isosceles triangle are equal, 234 [JUNE, 1901. and if the equal sides be produced the angles on the other side of the base are equal.... | |
| William Stanley Jevons - Logic - 1905 - 368 pages
...inductive reasoning. When in the fifth proposition of the first book of Euclid we prove that the angles at the base of an isosceles triangle are equal to each other, it is done by taking one particular triangle as an example. A figure is given which the reader is requested... | |
| Herbert Spencer - Psychology - 1906 - 788 pages
...to the recognition of its general truth. Let us take as an example, the proposition — " The angles at the base of an isosceles triangle are equal to each other." To prove this, the abstract terms are forthwith abandoned, and the proposition is re-stated in a concrete... | |
| Alva Walker Stamper - Geometry - 1906 - 188 pages
...credited with having added to geometry these five theorems:3 (1) A circle is bisected by its diameter; (2) the angles at the base of an isosceles triangle are equal ; (3) if two straight lines intersect the vertical angles are equal ; (4) an angle inscribed in a semicircle... | |
| Electronic journals - 1908 - 624 pages
...abstract truth, the meaning of which is not affected by the further abstract truth that the angles at the base of an isosceles triangle are equal to each other, or that any triangle is half of a parallelogram. The meaning of the assertion, This is an engraving... | |
| Alva Walker Stamper - Geometry - 1909 - 214 pages
...credited with having added to geometry these five theorems r" (1) A circle is bisected by its diameter; (2) the angles at the base of an isosceles triangle are equal; (3) if two straight lines intersect the vertical angles are equal ; (4) an angle inscribed in a semicircle... | |
| Alexander H. McDougall - Geometry - 1910 - 316 pages
...has been drawn to represent the bisector of L AOB. THEORETICAL GEOMETRY THEOREM 3 BOOK I The angles at the base of an isosceles triangle are equal to each other. BDC Hypothesis. — ABC is an isosceles A having AB = AC. To prove that LB = L C. Hypothetical Construction.... | |
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