| Nathan Fellowes Dupuis - Geometry - 1889 - 370 pages
...one side of a triangle, parallel to a second side, bisects the third side. And, 2, the line through the middle points of two sides of a triangle is parallel to the third side. 85°. Theorem. — The three medians of a triangle pass through a common point. CF and... | |
| Edward Albert Bowser - Geometry - 1890 - 418 pages
...intercepted part at A (153). But this latter intercept = 0. .-. BC-DE = DE. .-. DE = £BC. QED 155. COR. 1. The line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it. 156. COR. 2. Let ABCD be a trape- D/ - <.C zoid, AG = GD, and... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...quadrilateral bisect each other it must be a parallelogram. Ex. 65. — The join of the mid-points of two sides of a triangle is parallel to the base and equal to half of it. Ex. 66.— The straight line through the mid-point of one side of a triangle parallel to... | |
| Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...follows, in general, that : A straight line drawn from the middle point, etc. Corollary I. The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to one-half of it. Corollary II. The sides of a triangle passing through the vertices... | |
| James Andrew Blaikie, William Thomson - Geometry - 1891 - 160 pages
...|| and = FD. D § 16. (Bookwork, EUCLID, I. 1-34.) 1. The straight line which joins the mid-points of two sides of a, triangle is parallel to the base and equal to half of it ; and, conversely, the straight line drawn through the mid-point of a side of a triangle... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...is divided by each of its medians into two triangles of equal area. 6. The straight line which joins the middle points of two sides of a triangle is parallel to the third side. XXXII. 1. The straight lines drawn through the middle points of the sides of a triangle... | |
| Dalhousie University - 1891 - 136 pages
...The lines joining the alternate angles of a regular Hexagon trisect one another. 11. Assuming that the line joining the middle points of two sides of a triangle is equal to half the third side, solve the following : — The base of a triangle is fixed and the sum... | |
| Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...the middle point of one side of a triangle parallel to the other two sides bisect those sides. 25. The line joining the middle points of two sides of a triangle is parallel to the third side. 26. The lines joining the middle points of the sides of a triangle divide the triangle... | |
| Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...the angles at the base, to construct it. 8. The line joining the middle points of two sides of a 8 triangle is parallel to the base, and equal to the half of it. 9. The difference of the squares on two straight lines is 7 equal to the rectangle contained by their... | |
| Euclid - Geometry - 1892 - 460 pages
...construction; .'. ZX = YC. i 34 Hence AY = YC; that is, AC is bisected at YQED 2. The straight line which joins the middle points of two sides of a triangle, is parallel to the third side. Let ABC be a A , and Z, Y the middle points of the sides AB, AC: then shall ZY be par1... | |
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