 | George Shoobridge Carr - Mathematics - 1880
...Since each ratio = FE : BG. COR.— If AC = n . AE, then MISCELLANEOUS PROPOSITIONS. 951 The three lines drawn from the angles of a triangle to the middle...of the opposite sides, intersect in the same point, and divide each other in the ratio of two to one. For, by the last theorem, any one of these lines... | |
 | Oxford univ, local exams - 1880 - 396 pages
...figure and equal to another given rectilineal figure. 13. Prove that the straight lines which join the angles of a triangle to the middle points of the opposite sides meet in one point, which is one of the points of trisection of each of the lines. SATURDAY, JUNE 4,... | |
 | Dalhousie University - 1885 - 230 pages
...the segments of the base have the same ratio to one another that the sides of the triangle have. 8. The lines drawn from the angles of a triangle to the middle of the opposite sides pass through the same point. 9. If one circle touch another internally, and a... | |
 | George Shoobridge Carr - Mathematics - 1886 - 1036 pages
...ОС. By VI. 2. Since each ratio = FE : EG. Coo.— If AC = n.AE, then • BE= (n + l)OE. 951 The three lines drawn from the angles of a triangle to the middle...of the opposite sides, intersect in the same point, and divide each other in the ratio of two to one. For, by the last theorem, any one of these lines... | |
 | De Volson Wood - Geometry, Analytic - 1890 - 372 pages
...a = p, and x cos 0 + y sin /3 = p', and cutting at right angles the line x cosy + y sin y =p". 15. The lines drawn from the angles of a triangle to the middle of the opposite sides meet in one point. (For a solution by Quaternions, see Articles 335-7.) 16. Show... | |
 | 1903 - 788 pages
...15)/«, (iii) y = («s + 2«- 15)/«». 3. Find, in terms of a, b, c, the lengths of the lines joining the angles of a triangle to the middle points of the opposite sides ; if these lengths are p, q, r, prove that the area of the triangle is £[„.(„. -p)(<r- q) (a-... | |
 | Myron H. Lewis - Civil service - 1906 - 838 pages
...equation of the straight line which passes through two given points. 16. Demonstrate that the straight lines drawn from the angles of a triangle to the middle points of the opposite sides meet at a point. Use the subjoined figure and notation. (n,m) 2. Deduce the general polar equation... | |
 | William Henry Blythe - 1900 - 228 pages
...of a triangle it divides the base in the proportion of the sides, (63) [The straight lines joining the angles of a triangle to the middle points of the opposite sides are called the medians of the triangle. If ive represent these by AD, BE, CF in the triangle ABC, then... | |
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The lines drawn from the angles of a triangle to the middle points of the opposite sides meet in a point. 
