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" The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it. "
Elementary Geometry, Plane and Solid: For Use in High Schools and Academies - Side 76
av Thomas Franklin Holgate - 1901 - 440 sider
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Euclid simplified. Compiled from the most important French works, approved ...

John Reynell Morell - 1875 - 220 sider
...corresponding height are given. EXERCISES ON BOOK III. 92. The straight line which joins the centres of two sides of a triangle is parallel to the third side, and equal to half that side. 93. The straight lines which join the centres of the consecutive sides of a quadrilateral...
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Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - 1876 - 384 sider
...bisects AC. GEOMETRY.— BOOK I. 104. Corollaries. 1. Tlie straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to its half. (?) 2. The straight line drawn from the middle point of one of the non-parallel sides of...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1877 - 458 sider
...the angles of the square. PROPOSITION III. 5. The straight line which joins the middle points of any two sides of a triangle is parallel to the third side, and is equal to one half of that side. In the triangle ABC, let D be the middle point of AB, and E the...
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Exercises on Euclid and in Modern Geometry

James McDowell - 1878 - 310 sider
...proved equal to EC, therefore FH and 11 D are equal. 4. The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it. In the Cor. to the last proposition it is proved that the straight line EH joining the middle points...
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The solution of geometrical exercises, explained and illustrated; with a ...

Charles Mansford - 1879 - 112 sider
...parallel to it. Then PQ shall bisect the triangle.] 53. The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it. 54. The straight lines joining the middle points of the four sides of any quadrilateral form a parallelogram....
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Geometrical Exercises for Beginners

Samuel Constable - 1882 - 222 sider
...FOR BEGINNERS. FUNDAMENTAL PROPOSITIONS. PROP. 1. The straight line joining the middle points of the sides of a triangle is parallel to the third side and equal to half of it. BDC Let D, E, F, be the middle points of the sides BC, CA, AB, of any triangle ABC. Join FE, BE, CF,...
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The Competitor, Volumer 1-2

1882 - 486 sider
...it is equal to the g'ven rectang'e AD. (QEF) 2. Prove that the line joining the middle points of any two sides of a triangle is parallel to the third side ; and also that the triangle formed by the lines joining the middle points of the three si.lcs is one-fourth...
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Texas School Journal, Volum 20

1902 - 730 sider
...the midpoints as stated are parallel to and equal to one-half of each diagonal, because the join of the midpoints of two sides of a triangle is parallel to the third side and equal to half of it. Also, the parallelogram equals one-half of the original quadrilateral ; — since each of the little...
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The Practical Teacher, Volum 2

1883 - 654 sider
...of the straight lines=ioft. and 12 ft. Ans. Geometry. IN WATSON. — The straight line which bisects two sides of a triangle is parallel to the third side, and equal to one half of it. Let D, E be the middle points of the sides AB, AC of the triangle ABC. Then the straight...
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The Practical Teacher; with which is Incorporated the Practical ..., Volum 2

Joseph Hughes - 1883 - 568 sider
...the straight lines^ioft. and 12 ft. An*. Geometry. i. N. WATSON. — The straight line which bisects two sides of a triangle is parallel to the third side, and equal to one half of it. Let D, E be the middle points of the sides AB, AC of the ГТЬеп the straight line...
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