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" In any right triangle, the straight line drawn from the vertex of the right angle to the middle of the hypotenuse is equal to one-half the hypotenuse (I. "
Geometrical Propositions Demonstrated, Or, a Supplement to Euclid: Being a ... - Page 41
by William Desborough Cooley - 1840 - 94 pages
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Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840 - 192 pages
...of a triangle also bisects the base, the triangle must be isosceles. 16. In a right-angled triangle, the line drawn from the vertex of the right angle to the middle point of the base, is • equal to half of the base. (Pr.32.) 17. In a right-angled triangle, the angle contained...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...angle of an isosceles triangle ABC, is parallel to the base B C. 8. In any right triangle, the straight line drawn from the vertex of the right angle to the middle of the hypotenuse is equal to one-half the hypotenuse (I. 121, 38, 46). 9. If one of the acute angles...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...of an isosceles triangle ABC, is parallel to the base BC. -* 8. In any right triangle, the straight line drawn from the vertex of the right angle to the middle of the hypotenuse is equal to one-half the hypotenuse (I. 121, 38, 46). E 9. If one of the acute angles...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 426 pages
...one-half the difference between the angles B and С. 4. In any right triangle show that the straight line drawn from the vertex of the right angle- to the middle of the hypotenuse is equal to one-half the hypotenuse. 5. Two tangents are drawn to a circle at opposite...
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Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 196 pages
....'.£BZ.C = 2 ZZ^Z>. .'. Z £^Z> = £ (Z B - ZC). Ex. 4. In any right triangle show that the straight line drawn from the vertex of the right angle to the middle of the hypotenuse is equal to one.half the hypotenuse. Let Z ACB be a rt. A, and CE the line drawn...
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Elements of Geometry

George Albert Wentworth - 1881 - 266 pages
...one-half the difference between the angles B and C. 4. In any right triangle show that the straight line drawn from the vertex of the right angle to the middle of the hypotenuse is equal to one-half the hypotenuse. 5. Two tangents are drawn to a circle at opposite...
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The Elements of Plane Analytic Geometry: A Text-book Including Numerous ...

George Russell Briggs - Geometry, Analytic - 1881 - 174 pages
...(9.) In Chauvenet's Geometry (p. 294, 8) this theorem is stated : In any right triangle, the straight line drawn from the vertex of the right angle to the middle of the hypotenuse is equal to one half the hypotenuse. Prove by means of §§ 1o, n. SUGGESTION. —...
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The Elements of Geometry

Webster Wells - Geometry - 1886 - 392 pages
...than the sum of the squares of the adjacent sides. 70. In a right triangle ABC, BC2=3AC2. If CD is drawn from the vertex of the right angle to the middle point of AB, prove that Z ACD = 60°. 71. If D is the middle point of the side BC of the right triangle ABC,...
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The Elements of Plane Analytic Geometry: A Text-book Including Numerous ...

George Russell Briggs - 1890 - 170 pages
...(9.) In Chauvenet's Geometry (p. 294, 8) this theorem is stated : In any right triangle, the straight line drawn from the vertex of the right angle to the middle of the hypotenuse is equal to one half the hypotenuse. Prove by means of §§ 1o, n. SUGGESTION. —...
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Manual of Plane Geometry, on the Heuristic Plan: With Numerous Extra ...

George Irving Hopkins - Geometry, Plane - 1891 - 204 pages
...one base of a trapezoid are equal, the angles at the other base are also equal. 157. The line joining the vertex of the right angle to the middle point of the hypothenuse in a right triangle is equal to one-half the hypothenuse. 158. The lines which join the...
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