 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.  Syllabus of Geometry - Page 9by George Albert Wentworth - 1896 - 50 pagesFull view - About this book
 | 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... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 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... | |
 | 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... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...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... | |
 | 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 middle point... | |
 | James McDowell - 1878 - 310 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... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...straight line, it follows, that if AD = DB, and AE = EC, then DE || BC ; that is, the line joining the middle points of two 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... | |
 | James Maurice Wilson - 1878 - 450 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. EXERCISES FOR SOLUTION. i. If ABC is an isosceles triangle and A is double of either B or C,... | |
| |
