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" The straight line, joining the points of bisection of two sides of a triangle, is parallel to the base. "
Proceedings of the Edinburgh Mathematical Society - Page 8
by Edinburgh Mathematical Society - 1884
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...of bisection of the three sides to the opposite angles, pass through the same point. 7. The straight line joining the points of bisection of two sides of a triangle, is parallel to the base. S. Straight lines joining the successive middle points of the sides of a quadrilateral...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...joining the vertices of the triangles is bisected by the line containing the bases. Ex. 2. The straight line, joining the points of bisection of two sides of a triangle, is parallel to the base. Ex. 3. The straight lines, joining the middle points of the sides of a triangle,...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...two AS on one side of the diagonal are respectively equal to the two As on the other. (I. 1-38.) 42. The line joining the points of bisection of two sides of a A is parallel to the base. (I. 1-39.) 43. If one side of a A he divided into any number of equal parts,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...the vertices of the triangles is bisected by the line containing the bases. • Ex. 2. The straight line, joining the points of bisection of two sides of a triangle, is parallel to the base. Ex. 3. The straight lines, joining the middle points of the sides of a triangle,...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...in the same straight line, and on the same side of it, are between the same parallels. The straight line joining the points of bisection of two sides of a triangle, is parallel to the base. 6. In any right-angled triangle the square on the side subtending the right...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...is equal to the difference between the perpendiculars to it from the other vertices. 4. The straight line joining the points of bisection of two sides of a triangle is parallel to the third side. 5. If a straight line be drawn through any vertex of a parallelogram...
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Exercises in Stewart's Plane and Solid Geometry: With Solutions for Teachers

Seth Thayer Stewart - Geometry - 1893 - 262 pages
...being —, and ¿ с = Z(/(B. i., P. xx., Cor. i.) ; .-., e = fand а = dif. of _Ls. 4. The straight line joining the points of bisection of two sides of a triangle is parallel to the third side. Through one point of bisection draw a line | to the third side ; it...
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Proceedings of the Edinburgh Mathematical Society, Volumes 1-2

Edinburgh Mathematical Society - Mathematics - 1894 - 284 pages
...then as regards areas «, "2 • • • V = i A,A,. . . A,n + iA,A,. . . A2,,., + £A,A4. . .A,n. The following proof depends only on the theorem that...in writing, let us take the case where n = 4. Then , ...A, - A^2A, - A2A4A0 - A0A,A7 - A7AsA,) and £A,A4A0As = s.-.As - A,A2A4 - A^A^A, - A6A7As - AsA,A8)...
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Annual Report

1894 - 1174 pages
...point in the straight line bisecting the angle contained by the two sides, are equal. 15. The straight line, joining the points of bisection of two sides of a triangle, is parallel to the base. GRAMMAR. SENIOR FIFTH BOOK. 1. " While men pay reverence to mighty things,...
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