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" 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. "
Elements of Euclid [selections from book 1-6] adapted to modern methods in ... - Page 68
by Euclides - 1874
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The Elements of Geometry

Henry W. Keigwin - Geometry - 1897 - 250 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 side. 127....
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Calendar, for the Year ...

1897
...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 tangents...
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Proceedings of the Edinburgh Mathematical Society, Volumes 15-16

Edinburgh Mathematical Society - Electronic journals - 1897
...assumes only Euclid, I. 43, and its converse, with the well-known deductions, " the line joining the mid points of two sides of a triangle is parallel to the third side," and " the mid point of one diagonal of a parallelogram is also the mid point of the other." The proof given...
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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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Essentials of Geometry (plane).

Webster Wells - Geometry - 1898 - 282 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...parallel to the third side, and equal to one-half of it. B Given line DE joining middle points of sides AB and AC, respectively, of A ABC. To Prove DE II BC,...
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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...parallel to the third side, and equal to one-half of it. B Given line DE joining middle points of sides AB and AC, respectively, of A ABC. To Prove DE II BC,...
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An Elementary Course in Analytic Geometry

John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 424 pages
...square are of equal length, bisect each other, and are at right angles. 10. Prove analytically that the line joining the middle points of two sides of...triangle is parallel to the third side and equal to half its length. 11. Find the locus of the vertex of a triangle whose base is 2 a and the difference...
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An Elementary Course in Analytic Geometry

John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 418 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 bisectors of...
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An Elementary Course in Analytic Geometry

John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 482 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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