 | Euclides - Geometry - 1841 - 378 pages
...the points 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 figure,... | |
 | George Salmon - Conic sections - 1852 - 338 pages
...bisector of the third angle : interpreted the other way, express that the line joining the middle points of two sides of a triangle is parallel to the third side. 5. We give now some examples of the use of these equations of the first degree. Ex. 1. Tiie bisectors... | |
 | George Salmon - Conic sections - 1852 - 338 pages
...bisector of the third angle : interpreted the other way, express that the line joining the middle points of two sides of a triangle is parallel to the third side. 5. We give now some examples of the use of these equations of the first degree. Ex. 1. Tfie bisectors... | |
 | Education - 1856 - 732 pages
...is an easy deduction, from any one of this series, that a straight line cutting off' equimultiples of two sides of a triangle is parallel to the third side ; and, conversely, a parallel to one side cuts off equimultiples of the other two sides. We need now... | |
 | James McDowell - Mechanics - 1867 - 120 pages
...in a point of trisection. (EXERCISES, p. 3, No. 5.) Also the straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it. (1) Let AB CD be a rhombus. In the triangles ABC, ADC, the sides AB, AC are... | |
 | Euclides - 1871 - 136 pages
...straight Hue 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, divide it into... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...line 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, divide it into... | |
 | Euclides - 1874 - 120 pages
...parallel to it. Then PQ shall bisect the triangle.] 53. The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it. 54. The straight lines joining the middle points of the four sides of any... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...2), the corresponding areas are 1, 4, 9, 16, etc. Conversely. — The line joining the middle points of two sides of a triangle is parallel to the third side, and equal to one-half of it. In the triangle ABC, let AB, AC be bisected in D and E. The line joining... | |
 | John Reynell Morell - 1875 - 220 pages
...corresponding height are given. EXERCISES ON BOOK III. 92. The straight line which joins the centres of two sides of a triangle is parallel to the third side, and equal to half that side. 93. The straight lines which join the centres of the consecutive sides... | |
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The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it. 
