The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it. Plane Geometry - Page 162by John Wesley Young, Albert John Schwartz - 1915 - 223 pagesFull view - About this book
| George Salmon - Curves, Plane - 1852 - 316 pages
...bisector of the third angle : interpreted the other way, express that the line joining the middle points **of two sides of a triangle is parallel to the third side.** 5. We give now some examples of the use of these equations of the first degree. Ex. 1. Tfie bisectors... | |
| George Salmon - Conic sections - 1852 - 316 pages
...bisector of the third angle : interpreted the other way, express that the line joining the middle points **of two sides of a triangle is parallel to the third side.** 5. We give now some examples of the use of these equations of the first degree. Ex. 1. Tiie bisectors... | |
| Absalom Peters, Henry Barnard, Samuel Sidwell Randall - Education - 1856
...is an easy deduction, from any one of this series, that a straight line cutting off' equimultiples **of two sides of a triangle is parallel to the third side** ; and, conversely, a parallel to one side cuts off equimultiples of the other two sides. We need now... | |
| James L. McDowell - Mechanics - 1867 - 102 pages
...in a point of trisection. (EXERCISES, p. 3, No. 5.) Also 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. (1) Let AB CD be a rhombus. In the triangles ABC, ADC, the sides AB, AC are... | |
| Charles Mansford - 1874
...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... | |
| James Bryce - 1874
...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... | |
| 1875
...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 - 372 pages
...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... | |
| 1878
...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... | |
| Charles Mansford - Euclid's Elements - 1879 - 104 pages
...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... | |
| |