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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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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...follow the >•* term ("the remainder after r terms") is less than - ur. \~qx 3. Prove that the straight line joining the middle points of two sides of a triangle is parallel to, and is equal to half the length of the third side. If ABCD be any four.sided figure the three straight...
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Plane Geometry: A Complete Course in the Elements of the Science

Edward Brooks - Geometry, Modern - 1901 - 278 pages
...DF=EC. ButAEDFis&CJ, and DF—AE; hence EC = AE, or AC is bisected at E. COR. — The line which joins the middle points of two sides of a triangle is parallel to the third side, and equal to half of it. For, in the same figure, the line through D \\ to AB passes through...
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Proceedings of the Edinburgh Mathematical Society, Volumes 19-20

Edinburgh Mathematical Society - Electronic journals - 1901 - 232 pages
...conjugate of a side of a triangle is any straight line through the opposite vertex, and that the straight line joining the middle points of two sides of a triangle is its own isotomic conjugate. I have traced the curve for a position of the given point in each of the...
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The School World: A Monthly Magazine of Educational Work and Progress, Volume 4

Education - 1902 - 678 pages
...same base, and on ihe same side of it, are between the same parallels. The straight line which joins the middle points of two sides of a triangle is parallel to the third side. (3) Describe a rectangle equal to a given irregular pentagon. (4) If the square described...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...base of a triangle and bisects one side, it bisects the other side also. 189. The line which joins the middle points of two sides of a triangle is parallel to the third side, and is equal to half the third side. 190. The median of a trapezoid is parallel to the...
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Manual

1903 - 898 pages
...only niu'. So alsn of qnnitimut 4 aiul 4A, 6 ami GA.] (EXAMINATION PAPERS. 137 Show that the straight line joining the middle points of two sides of a triangle is parallel to the third side, and that the triangle so formed is a quarter of the given triangle. -. Draw u straight...
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Ellen: Or, Whisperings of an Old Pine, Volume 1

Joseph Battell - Force and energy - 1903 - 722 pages
...parallel to the third side.' "Because the separation of the sides of any angle is constant. ' A straight line joining the middle points of two sides of a triangle is equal to half the third.' "Because the separation of the sides of any angle is constant. And therefore...
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The Elements of Analytic Geometry

Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 462 pages
...perpendicular. llnii Take two aides for the axes anil let the length of a side be a. 11. Show that the line joining the middle points of two sides of a triangle is parallel to the third. Hint. Choose the axes so that the vertices are (0, 0), («, 0), and (Ь, с). 12. Find the equation...
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The Elements of Analytic Geometry

Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 462 pages
...are perpendicular. Hint. Take two sides for the axes and let the length of a side be a. 11. Show that the line joining the middle points of two sides of a triangle is parallel to the third. Hint. Choose the axes so that the vertices are (0, 0), (a, 0), and (b, c). 12. Find the equation...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...sides supplementary, the triangles are equal in area. ON PROP. 39. 10. The straight line which joins the middle points of two sides of a triangle is parallel to the third side. 11. If two straight lines AB, CD intersect in O, so that the triangle AOC is equal to the...
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