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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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The Elements of Geometry

Henry W. Keigwin - Geometry - 1897 - 254 pages
...median is a right bisector, (X is Y) Therefore the right bisector is the median. ( Y is X) 124. THEO. The line joining the middle points of two sides of a triangle is parallel to the third side. 125. THEO. Converse of § 124. 126. THEO. The line o/§ 124 is equal to one half the third...
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Plane and Solid Analytic Geometry

Frederick Harold Bailey - Geometry, Analytic - 1897 - 392 pages
...which the points are taken does . ,; .not affect the result. ^<--- - . t 43. Prove analytically that the line joining the middle points of two sides of a triangle is parallel to the third side ; and equal to one half of it. • ]fS^S"' I •+• , . , * .- /* ', s \ THE POINT. 21...
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Calendar, for the Year ...

1897 - 154 pages
...area ; and equal triangles on the same base are between the same parallels. Shew that the straight line joining the middle points of two sides of a triangle is parallel to the third side. 2. Draw a tangent to a circle from a given point without its circumference. Shew that two...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...Show that this line coincides with a line drawn / J^ as in §127. A < 129. Exercise. — A straight line joining the middle points of two sides of a triangle is equal to half the third / side. * ty— Hint.— Prove DE = BX, and DE = XC. p/ , 130. Defs. — A...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...of two sides of a triangle is parallel to the third /\ side. MA—\N \ 129. Exercise.—A straight line joining the middle points of two sides of a triangle is equal to half the third side. Hint.—Prove DE - BX, and DE = XC. 130. Defs.—A trapezoid is a quadrilateral,...
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An Elementary Course in Analytic Geometry

John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 458 pages
...meet in a point; 38. the perpendicular from each vertex to the opposite sides meet in a point; 39. the line joining the middle points of two sides of a triangle is parallel to the third side. 40. Show that the equation 56 z2 + 441 xy - 56 y2 - 79 x - 47 y + 9 = 0 represents the...
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The Essentials of Geometry (plane)

Webster Wells - Geometry - 1898 - 284 pages
...line parallel to AC. (Sum of A at B = 2 rt. A.) MISCELLANEOUS THEOREMS. V PROP. XL VII. THEOREM. 130. The line joining the middle points of two sides of a, triangle is parallel to the third side, and equal to one-half of it. B Given line DE joining middle points of sides AB and AC,...
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The Essentials of Geometry (plane)

Webster Wells - Geometry - 1898 - 250 pages
...parallel to AC. (Sum of 4 at B = 2 rt. A.) MISCELLANEOUS THEOREMS. PROP. XLVII. THEOREM. 130. 77;e line joining the middle points of two sides of a triangle is parallel to the third side, and equal to one-half of it. B Given line DE joining middle points of sides AB and AC,...
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An Elementary Course in Analytic Geometry

John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 484 pages
...triangle whose vertices are (2, 2), (~7, -1), and (-1, 5). Plot the figure. 20. Show analytically that the line joining the middle points of two sides of a triangle is half the length of the third side. 21. A point is 7 units distant from the origin and is equidistant...
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...construct a rhomboid when the two diagonals and the included angle are given. Proposition 64. Theorem. 76. The line joining the middle points of two sides of a triangle is parallel to the third side, and is equal to one half the third side. B 57 Conclusion. DE is II to BC, and DE = \ BC....
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