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" The straight line drawn through the mid-point of one side of a triangle parallel to the base bisects the other side. "
Elementary and Constructional Geometry - Page 66
by Edgar Hamilton Nichols - 1896 - 138 pages
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Proceedings of the Royal Society of Edinburgh, Volume 12

Royal Society of Edinburgh - Science - 1884 - 1166 pages
...points of the sides, GD and PE will meet at F, since the line drawn through the middle point of the side of a triangle parallel to the base bisects the other side. Through H draw HK parallel to GFD, or perpendicular to CB. Join FK and GK, and pro- Fi j duce them...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...line which bisects the sides of a triangle is parallel to its base. 29. If a line be drawn through the middle point of one side of a triangle, parallel to the base, prove that it will bisect the other side. 30. Prove that the triangle cut off by this parallel is one-fourth...
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The Elementary Geometry of the Right Line and Circle ... With Exercises

William Alexander Willock - Circle - 1875 - 196 pages
...are equal respectively to the segments of the other, all round. 22. The Line from the Bisection of a Side of a Triangle Parallel to the Base bisects the other side, and is half the base. Let ACB be the triangle, ABihe base, Xthe bisection of the side BC, and Y the point...
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Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - Geometry - 1876 - 384 pages
...making a pavement? VI. SUPPLEMENTARY PROPOSITIONS. 103. Proposition XL VI.— Theorem. The straight line drawn from the middle point of one side of a triangle, parallel to a second side and terminating in the third, bisects tlie tliird *ide, cuid is equal to one-half the...
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Proceedings, Volume 12

Royal Society of Edinburgh - Science - 1884 - 1100 pages
...points of the sides, GD and PE will meet at F, since the line drawn through the middle point of the side of a triangle parallel to the base bisects the other side. Through H draw HK parallel to GFD, or perpendicular to CB. Join FK and GK, and produce them to meet...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry - 1891 - 426 pages
...meet, at one point, they are said to be concurrent lines. PROPOSITION XXI. 160. Theorem : A straight line drawn from the middle point of one side of a triangle, parallel to a second side, and terminating in the third side, bisects the third side, and is equal to one-half...
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A Text-book of Geometrical Deductions

James Blaikie, William Thomson - Geometry - 1891 - 160 pages
...bisect each other; ... BG = GF; [ 15, Ex. 1. and the straight line drawn through the mid.point of a side of a triangle parallel to the base bisects the other side ; ... BE=ED. [ 16, Ex. 1. Conversely, let BE= ED ; it is required to prove that AABC = AADC. Complete...
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 184 pages
...middle points of the series of lines of Question 22 all lie on a straight line. 24. Lines drawn through the middle point of one side of a triangle parallel to the other two sides bisect those sides. 25. The line joining the middle points of two sides of a triangle...
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Plane Geometry

George D. Pettee - Geometry, Plane - 1896 - 272 pages
...A) z = B(a,lt. int. 4) [both = BD] ADFC=n DF\\ACanA=AC [2 opp. s. = and II] [opp. s. of O] 114. Cor. A line drawn from the middle point of one side of a triangle parallel to a second side bisects the third side, [proved by noting its coincidence with a line drawn as in the...
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Biennial Report of the State Superintendent of Public Instruction

Arkansas. Department of Public Instruction - Education - 1900 - 236 pages
...exterior angles at the base of any triangle are together greater than two right angles. , 3. A straight line drawn from the middle point of one side of a triangle, parallel to a second side; and terminating in the third side, bisects the third side, and is equal to onehalf of...
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