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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 6
by Edinburgh Mathematical Society - 1894
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 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
...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
...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 - 349 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
...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 - 256 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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Annual Report

1894 - 1186 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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Proceedings of the Edinburgh Mathematical Society, Volume 2

Edinburgh Mathematical Society - Electronic journals - 1884 - 92 pages
...A1A2A3...A2n then as regards areas a, <j . . . asn = | A; A2 . . . A2n + A,A3. . . A2n-, + iA8A4. . . A2n. The following proof depends only on the theorem that...in writing, let us take the case where n = 4. Then IA AAA { n lnS-iiB-a7 J(A,AtA,...A, - A,AjA, - A3A4A5 - A5A0A7 and A2A4A,.As = ,As...As - A2A3A4...
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