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
| Education - 1883 - 658 pages
...of the straight lines=ioft. and 12 ft. Ans. Geometry. IN WATSON. — The straight line which bisects **two sides of a triangle is parallel to the third side, and equal to** one half of it. Let D, E be the middle points of the sides AB, AC of the triangle ABC. Then the straight... | |
| Joseph Hughes - Education - 1883 - 578 pages
...the straight lines^ioft. and 12 ft. An*. Geometry. i. N. WATSON. — The straight line which bisects **two sides of a triangle is parallel to the third side, and equal to** one half of it. Let D, E be the middle points of the sides AB, AC of the ГТЬеп the straight line... | |
| Euclides - 1883 - 176 pages
...L. ACD and L. ACB. QED 99. The diagonals of a parallelogram bisect each other. 100. The line joining **the middle points of two sides of a triangle is parallel to the** base, and equal to half the base of the triangle. 101. The lines joining the middle points of the adjacent... | |
| Mathematical association - 1883 - 86 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. [Cor. 2. and Rule of Identity.] SECTION 4. PROBLEMS. PROB. 1. To bisect a given angle. PROB.... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 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... | |
| Education - 1884 - 708 pages
...Triangles upon 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
...Now these triangles are on the same base DE and on the same side of it ; .-. DE is || BC. I. 39 1. **The straight line which joins the middle points of two sides of a triangle is** || the third side. 2. The straight line drawn through the middle point of one of the sides of a triangle... | |
| 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,... | |
| Euclides - 1884 - 214 pages
...from the 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... | |
| 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... | |
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