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" The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side. "
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Page 19
by Euclides - 1860
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...BC in 0. Join PO and draw AQ- 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...
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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...triangle parallel to the base passes through the middle point of the other side. COR. 2. The straight line joining the middle points of two sides of a triangle is parallel to the base. [Cor. i. and Rule of Identity.] SECTION 4. PROBLEMS. PROB. i. To bisect a given angle. PROB. 2. To...
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Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - Geometry - 1876 - 384 pages
...parallelogram (82) ; AE = EC; hence, DE 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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...of AB andD C shall divide the quadrilateral into two equal parts. 8. The straight line, which joins the middle points of two sides of a triangle, is parallel to the base. 9. If a straight line be divided into any two parts, the square on the whole line is equal to the squares...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...through the middle point of a side of a triangle parallel to the base it will bisect the other side. 43. The line joining the middle points of two sides of a triangle is equal to half the third side and is parallel to it. 44. If from points in the base of an isosceles...
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Elementary Geometry ...

James Maurice Wilson - 1878 - 450 pages
...triangle parallel to the base passes through the middle point of the other side. COR. 2. The straight line joining the middle points of two sides of a triangle is parallel to the base. EXERCISES FOR SOLUTION. i. If ABC is an isosceles triangle and A is double of either B or C, shew that...
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Exercises on Euclid and in Modern Geometry

James McDowell - 1878 - 310 pages
...find them 2 3. To divide a given straight line into any number of equal parts. CoB 2 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 2 5. The straight lines drawn from the vertices of a triangle to...
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Elements of Geometry: And the First Principles of Modern Geometry

William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...sides of a triangle is parallel to the third D/. side. COR. 2, Since DE = BF = FC, DE = ^ that is, the line joining the middle, points of two sides of a triangle is equal to one-half the third side. COR. 3. If, in the trapezoid ABCD, E and F are the middle points...
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The solution of geometrical exercises, explained and illustrated; with a ...

Charles Mansford - 1879 - 112 pages
...[Bisect BC in O. Join PO and draw AQ 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...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...are equal. Show that two sides of the quadrilateral are parallel. 2. The straight line which joins the middle points of two sides of a triangle is parallel to the base. 3. The straight line which joins the middle points of two sides of a triangle is equal to half the...
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