| 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.... | |
| Thomas Holliday - 1838 - 404 pages
...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... | |
| 1844 - 688 pages
...A. 1 . Define a circle and the centre of a circle. What do you understand by an angle in a segment ? 2. The angles at the base of an isosceles triangle are equal to one another ; and if tbe equal sides be produced, the angles upon the other side of the base shall... | |
| 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... | |
| Great Britain. Committee on Education - 1848 - 606 pages
...each Section is to be answered.) Section 1. 1. Define я circle, a triangle, an isosceles triangle, and an equilateral triangle. Prove that the angles,...point out the equivalence of the two assumptions. Section 2. 1. Make a triangle of which the sides shall be equal to three given straight lines. State... | |
| Great Britain. Council on Education - 1848 - 596 pages
...each Section is to be answered.) Section 1. 1. Define a circle, a triangle, an isosceles triangle, and an equilateral triangle. Prove that the angles,...point out the equivalence of the two assumptions. .Section 2. 1. Make a triangle of which the sides shall be equal to three given straight lines. Slate... | |
| Great Britain. Committee on Education - 1848 - 514 pages
...a straight line perpendicular to a given straight line from a given point within it. 3. The angles at the base of an isosceles triangle are equal to each other, and if tho equal sides be produced the angles on the other side of the base shall be equal. Section... | |
| 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... | |
| Great Britain. Council on Education - 1848 - 532 pages
...straight line from a given point within it. 1. Define a plane superficies, and a circle. 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... | |
| 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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