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. Plane and Solid Geometry - Page 75by Claude Irwin Palmer, Daniel Pomeroy Taylor - 1918 - 436 pagesFull view - About this book
| Edinburgh Mathematical Society - Mathematics - 1885 - 300 pages
...equivalent to HH, HK, HL, therefore HA is the resultant of HK, HL. Hence, HKAL is a parallelogram ; the line joining the middle points of two sides of a triangle, is parallel to and equal to half of the third side. 3. When P is at S, the centre of the circumscribing circle ABC,... | |
| George Bruce Halsted - Geometry - 1885 - 389 pages
...second side, it will bisect the third side ; and, inversely, the sect joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of it. 233. Three or more lines which intersect in the same point are said to be Concurrent.... | |
| Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...Exercises. 1. Triangles and parallelograms of equal bases and altitudes are respectively equal. 2. The right line joining the middle points of two sides of a triangle is | arallel to the third ; for the medians from the extremities of the base to these points will each... | |
| George Albert Wentworth - Geometry, Analytic - 1886 - 334 pages
...(7, — 3) ? 52. Prove that the diagonals of a square are perpendicular to each other. 53. Prove that the line joining the middle points of two sides of a triangle is parallel to the third side. 55. Show that the three points (3a, 0), (0, 3b), (a, 2li) are in a straight line. 56. Show that the... | |
| George Albert Wentworth - 1886 - 322 pages
...(7, — 3) ? 52. Prove that the diagonals of a square are perpendicular to each other. 53. Prove that the line joining the middle points of two sides of a triangle is parallel to the thh-d side. 5.5. Show that the three points (3a, 0), (0, 3i), (a, 2K) are in a straight line. 56. Show... | |
| George Bruce Halsted - Geometry - 1886 - 394 pages
...second side, it will bisect the third side ; and, inversely, the sect joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of it. 233. Three or more lines which intersect in the same point are said to be Concurrent.... | |
| William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...Suggestion. Draw DF parallel to AC. See now Proposition VII. and Proposition XXIX. 29. The straight line joining the middle points of two sides of a triangle is parallel to the third side, (v. Exercise 28.) 30. The three straight lines joining the middle points of the sides of a triangle... | |
| William Chauvenet - Geometry - 1887 - 336 pages
...Suggestion. Draw DF parallel to AC. See now Proposition VII. and Proposition XXIX. 29. The straight line joining the middle points of two sides of a triangle is parallel to the third side. (v. Exercise 28.) 30. The three straight lines joining the middle points of the sides of a triangle... | |
| George Albert Wentworth - Geometry, Analytic - 1886 - 262 pages
...that the diagonals of a square are _L to each other. 53. Prove that the line joining the middle point of two sides of a triangle is parallel to the third side. 54. What is the geometric meaning of the equation 55. Show that the three points (3 a, 0), (0, Bb),... | |
| John Bascombe Lock - Forces and couples - 1888 - 278 pages
...middle point of one of the sides of another piece of cardboard. Shew that their cGs are superposed. The line joining the middle points of two sides of a triangle is parallel to the third side of the triangle and is bisected by the line joining the middle point of the third side to the opposite... | |
| |