| 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... | |
| 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,... | |
| 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,... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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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