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" 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 side of the base shall be equal. "
The Practical Teacher - Page 278
1882
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The elements of plane trigonometry

John Charles Snowball - 1837 - 322 pages
...С); Again, since each of the angles A, B, С is less than тг, .-. A + B + С<3тг. 22. The angles at the base of an isosceles triangle are equal to each other. (Fig. Art. 28.) Suppose ABC to be an isosceles triangle, having AB = AC, and therefore ¿ AOB = z AOC....
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A complete treatise on practical land-surveying

Thomas Holliday - Surveying - 1838 - 404 pages
...perpendicular is the shortest straight line that can be drawn from the vertical angle to the base. Note 1. The angles at the base of an isosceles triangle are equal to each other. 2. A line drawn from the middle of the base of an isosceles triangle to the opposite angle is perpendicular...
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Report to the Trustees of the Dick Bequest for the Benefit of the ..., Volume 2

Church schools - 1844 - 456 pages
...horizon, in the same plane with it, are observed ; to find the distance between them. 1842. GEOMETRY. 1. The angles at the base 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....
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...of the one equal to two sides, &c. Which was to be demonstrated. PROPOSITION V. THEOREM. 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 side of the base shall be equal. Let ABC...
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First Lessons in Geometry: Upon the Model of Colburn's First Lessons in ...

Alpheus Crosby - Geometry - 1847 - 190 pages
...? a scalene triangle ? In the general proposition above are included the following particulars : ( 1 . ) The angles at the base of an isosceles triangle are equal. (2.) A triangle which has two equal angles is isosceles. (3.) An equilateral triangle is also equiangular....
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pages
...Draw a straight line perpendicular to a given straight line from a given point in it. 3. 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 side of the base shall be equal. SECTION...
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The English Journal of Education, Volume 2

Education - 1848 - 542 pages
...it. — See " Bell's Euclid," prop. i. book i. ; or " Tate's Geometry," &c. page 21. 3. 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 side of the base shall be equal. — See...
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Report of the Committee of Council on Education (England and Wales ..., Issue 2

Great Britain. Council on Education - Education - 1848 - 596 pages
...one side of it are either two right angles, or are together equal to two right angles. 2. The angles at the base of an isosceles triangle are equal to each other. 3. Define parallel straight lines. State the axiom which you assume respecting such lines; and explain...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1848 - 606 pages
...one side of it are either two right angles, or are together equal to two right angles. 2. The angles at the base of an isosceles triangle are equal to each other. 3. Define parallel straight lines. State the axiom which you assume respecting such lines ; and explain...
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General Report on Public Instruction in the Bengal Presidency

Education - 1863 - 818 pages
...; prove that AC and BD bisect each other. Under wht circumstances will AC equal BD ? 8. The angles at the base of an isosceles triangle are equal to each other. Give Euclid's proof of this proposition. How might it be proved if you were permitted to bisect an...
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