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" Hence a straight line drawn from the vertex of an isosceles triangle, to the middle of the base, is perpendicular to that base, and divides the vertical angle into two equal parts. "
Elements of Geometry...: Translated from the French for the Use of the ... - Page 4
by Adrien Marie Legendre, John Farrar - 1825 - 224 pages
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Myers-Brooks Grammar School Arithmetic

George William Myers, Sarah Catherine Brooks - Arithmetic - 1907 - 432 pages
...triangle? FIGURE 153 FlGUBB 152 29. One side of a regular hexagon is 36'. Find the area of the hexagon? 30. A straight line drawn from the vertex of an isosceles...triangle to the middle of the , base is perpendicular to the\ base. Find the area of a regular pentagon whose sides are 24", if the radius of the circular drawn...
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Annual Report of the Association of Ontario Land Surveyors, Volume 17

Association of Ontario Land Surveyors - Surveying - 1909 - 254 pages
...the whole and that part together with the square on the other part. 4. Prove that the square on any straight line drawn from the vertex of an isosceles triangle to the base, is less than the square on a side of the triangle by the rectangle contained by the segments...
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Annual Report, Volumes 2-3

Civil Service Commission of Canada - Civil service - 1910 - 240 pages
...Construct it. 3. To divide- a given straight line in medial section. 4. Prove that the square on any straight line drawn from the vertex of an isosceles triangle to the base, is less than the square on a side of the triangle by the rectangle contained by the segments...
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Myers Arithmetic for Grammar Schools

George William Myers - Arithmetic - 1912 - 410 pages
...2 FIGURE 1 What is the 31. One side of a regular hexagon is 36'. Find the area of the hexagon. 32. A straight line drawn from the vertex of an isosceles...triangle to the middle of the base is perpendicular to the base. Find the area of a regular pentagon whose sides are 24", if the radius of the circle drawn...
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1912 - 392 pages
...triangle is isosceles. Sue. Construct the polar of the given triangle. 5. The are of a great circle drawn from the vertex of an isosceles triangle to the middle of the base is perpendicular to the base and bisects the vertex angle. 6. Determine a point X at a given distance from a fixed point,...
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Junior High School Mathematics: First [-third] Course, Book 3

William Ledley Vosburgh, Frederick William Gentleman, Jasper Ole Hassler - Mathematics - 1924 - 312 pages
...that CD (Fig. 115) makes equal angles with the line AB. Would these be right angles? 3. Prove that a line drawn from the vertex of an isosceles triangle to the middle point of the base is perpendicular to the base. HINT. Use Exercises 1 and 2 and Axiom 1. 4. A simple...
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A Geometry Reader

Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...Therefore, AO = CO, and BO = EO, homologous sides of equal triangles. Exercises Group 40 1. A line is drawn from the vertex of an isosceles triangle to the middle of the base. Prove that the triangles formed are equal. C V B 2. What angles does this line make with the base of...
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Solutions of the Exercises in Tyler's Euclid

268 pages
...rt. / ; /. AB is greater than AD or BD by last ex. . Similarly AC is greater than AD or DC. 55, 3. A straight line drawn from the vertex of an isosceles triangle to any point in the base produced is greater than either of the equal sides. In &ABClelAB = AC. In BC...
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The Elements of Plane Geometry

Euclid - 1845 - 336 pages
...if the rectangle AD . DB = 128 sq. ins., find the lengths of the unequal parts. 5. The square on any straight line drawn from the vertex of an isosceles triangle to the base is less than the square on one of the equal sides by the rectangle contained by the segments of...
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