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. Solid Geometry - Page 245by George Albert Wentworth - 1902 - 218 pagesFull view - About this book
| Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...perpendicular BD equal to the side of the given square. Complete. See Prob. IX. 13. A line joining the middle points of two sides of a triangle is parallel to the third, and equal to the half of it. 14. Bisect the sides of a quadrilateral, join the points of bisection,... | |
| Education - 1884 - 708 pages
...equal bases and between the same parallels, are equal to one another. Prop. 38, Bk. I. 3. The straight line which joins the middle points of two sides of a triangle is equal to half the base. Let the sides AB, AC of the triangle ABC be bisected respectively in D and... | |
| Euclides - 1884 - 434 pages
...either within or without the circle ; prove AS AEB, CED similar, and also As A ED, BEC. 6. The straight line which joins the middle points of two sides of a triangle is half of the third side. 7. A straight line which is || one of the sides of a triangle and = half of... | |
| Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...parallel to the base passes through the middle point of the other side. COR. 3. The straight line joining the middle points of two sides of a triangle is parallel to the base. Ex. 58. The straight lines joining the middle points of the sides of a triangle divide it into... | |
| Mathematical association - 1884 - 146 pages
...parallel to the base passes through the middle point of the other side. COR. 3. The straight line joining the middle points of two sides of a triangle is parallel to the base. Ex. 58. The straight lines joining the middle points of the sides of a triangle divide it into... | |
| Euclides - 1884 - 214 pages
...extremities of the base of a triangle to meet the opposite sides can bisect each other. (213) The straight line which joins the middle points of two sides of a triangle, (a) is parallel to the third side, (6) is half of the third side, (c) divides the triangle into two... | |
| 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.... | |
| Edinburgh Mathematical Society - Mathematics - 1885 - 300 pages
...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 Albert Wentworth - Geometry, Analytic - 1886 - 334 pages
...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
...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... | |
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