| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 234 pages
...1, 2, 3, 4, etc. (I. App., schol. 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... | |
| Euclides - 1874 - 120 pages
...BC in 0. Join PO and draw AQ- 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... | |
| 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... | |
| Aaron Schuyler - Geometry - 1876 - 384 pages
...parallelogram (82) ; AE = EC; hence, DE bisects AC. GEOMETRY.— BOOK I. 104. Corollaries. 1. Tlie straight **line joining the middle points of two sides of a triangle is parallel to the third side** and equal to its half. (?) 2. The straight line drawn from the middle point of one of the non-parallel... | |
| Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...triangle parallel to the base passes through the middle point of the other side. COR. 2. The straight **line joining the middle points of two sides of a triangle is parallel to the** base. [Cor. i. and Rule of Identity.] SECTION 4. PROBLEMS. PROB. i. To bisect a given angle. PROB.... | |
| Robert Potts - Geometry, Plane - 1876 - 446 pages
...of AB andD C shall divide the quadrilateral into two equal parts. 8. The straight line, which joins **the middle points of two sides of a triangle, is parallel to the** base. 9. If a straight line be divided into any two parts, the square on the whole line is equal to... | |
| Richard Wormell - 1876 - 268 pages
...through the middle point of a side of a triangle parallel to the base it will bisect the other side. 43. **The line joining the middle points of two sides of a triangle is** equal to half the third side and is parallel to it. 44. If from points in the base of an isosceles... | |
| James McDowell - 1878 - 312 pages
...find them 2 3. To divide a given straight line into any number of equal parts. CoB 2 4. 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 2 5. The straight lines drawn from the vertices of a triangle to bisect the... | |
| James Maurice Wilson - 1878 - 450 pages
...triangle parallel to the base passes through the middle point of the other side. COR. 2. The straight **line joining the middle points of two sides of a triangle is parallel to the** base. EXERCISES FOR SOLUTION. i. If ABC is an isosceles triangle and A is double of either B or C,... | |
| Wm. H. H. Phillips - Geometry - 1878 - 236 pages
...sides of a triangle is parallel to the third D/. side. COR. 2, Since DE = BF = FC, DE = ^ that is, **the line joining the middle, points of two sides of a triangle is** equal to one-half the third side. COR. 3. If, in the trapezoid ABCD, E and F are the middle points... | |
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