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
| Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...perpendiculars to it from the other vertices. 4. The straight line joining the points of bisection **of two sides of a triangle is parallel to the third side.** 5. If a straight line be drawn through any vertex of a parallelogram so as not to intersect the parallelogram,... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...middle points of the sides of a triangle perpendicular to the sides meet in a point. 2. The straight Hue **which joins the middle points of two sides of a triangle is** equal to half the third side. 3. Show how to bisect a triangle by a straight line drawn through one... | |
| George Bruce Halsted - Geometry - 1896 - 208 pages
...cuts off the same fraction of the other side. 310. Inverse. The sect joining the mid points of any **two sides of a triangle is parallel to the third side, and equal to half of it.** 311. Corollary. The sect joining points which bound with any vertex of a triangle the same fractional... | |
| Euclid - Geometry - 1892 - 460 pages
...that is, ZY is par1 to BC. QED [A second proof of this proposition may be derived from i. 38, 39.1 **3. The straight line which joins the middle points of two sides of a triangle is** equal to half the third side. 4. Shew that the three straight lines which join the middle points of... | |
| Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...that AB, DC are parallel. So that ABCD is a parallelogram. QED Example ii. The straight line joining **the middle points of two sides of a triangle is parallel to the** base. Let E, F be the middle points of the sides AC, AB of the triangle ABC; it is required to prove... | |
| Education - 1893 - 892 pages
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| William Chauvenet - 1893 - 340 pages
...Draw DP 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 aides of a triangle... | |
| Seth Thayer Stewart - Geometry - 1893 - 262 pages
...xx., Cor. i.) ; .-., e = fand а = dif. of _Ls. 4. The straight line joining the points of bisection **of two sides of a triangle is parallel to the third side.** Through one point of bisection draw a line | to the third side ; it will pass through the other point... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...the shortest line which can be drawn from a point to a straight line. 2. The straight line joining **the middle points of two sides of a triangle is parallel to the third side and equal to** one-half of it. 3. Two parallel tangents intercept equal arcs on the circumference of a circle. 4.... | |
| Nathan Fellowes Dupuis - Geometry - 1894 - 313 pages
...one side of a triangle, parallel to a second side, bisects the third side. And, 2, the line through **the middle points of two sides of a triangle is parallel to the third side.** 85°. Theorem. — The three medians of a triangle pass through a common point. CF and AD are medians... | |
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