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 46 INTERCEPTS BY PARALLEL LINES. Euclid - Page 99by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...between these diagonals, then the area of the triangle is equal to the area of the quadrilateral. 106. **The straight line which joins the middle points of two sides of** any triangle is parallel to the base. . 107. Straight lines joining the middle points of adjacent sides... | |
| Richard Wormell - Geometry, Plane - 1870 - 304 pages
...is frequently of use in solving problems on the intersection of lines : — "A straight line joining **the middle points of two sides of a triangle is parallel to the third** and equal to half the third." We will here give a few problems in which this fact is applied. 354.... | |
| Euclides - 1874 - 120 pages
...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 quadrilateral form a parallelogram.... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 234 pages
...(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 these points... | |
| 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 of a quadrilateral... | |
| Robert Potts - Geometry, Plane - 1876 - 446 pages
...which joins the middle points 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... | |
| Aaron Schuyler - Geometry - 1876 - 384 pages
...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 sides of... | |
| Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...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.... | |
| Elias Loomis - Conic sections - 1877 - 458 pages
...the angles of the square. PROPOSITION III. 5. The straight line which joins the middle points of any **two sides of a triangle is parallel to the third side, and** is equal to one half of that side. In the triangle ABC, let D be the middle point of AB, and E the... | |
| James McDowell - 1878 - 312 pages
...D have been each proved equal to EC, therefore FH and 11 D are equal. 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.** In the Cor. to the last proposition it is proved that the straight line EH joining the middle points... | |
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