 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.  A Text-book of Geometry - Page 64by George Albert Wentworth - 1888 - 386 pagesFull view - About this book
 | 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... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...bisects AC. A line drawn from D to the middle _ point of AC will be parallel to BC. [The line joining the middle points of two sides of a triangle is parallel to the third side.] (§ 130.) Then this line will coincide with DE. [But one straight line can be drawn through a given... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...through the vertex, th. 27 or cor. 1 proves it. Draw the figure. 3. The line joining the mid-points of two sides of a triangle is parallel to the third side. For if not, suppose through the mid-point of one of those sides a line is drawn parallel to the base... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...through the vertex, th. 27 or cor. 1 proves it. Draw the figure. 3. The line joining the mid-points of two sides of a triangle is parallel to the third side. For if not, suppose through the mid-point of one of those sides a line is drawn parallel to the base... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...1. The line parallel to the base of a triangle, and bisecting one side, bisects the other side also. 189. Cor. 2. The line which joins the middle points...the third side, and is equal to half the third side. 190. Cor. 3. The line which is parallel to the bases of a trapezoid and bisects one leg of the trapezoid... | |
 | University of the South - 1896 - 148 pages
...whose sides are perpendicular, each to each, are either equal or supplementary. (2) 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. (3) The angle between a tangent and a chord is measured by one-half its intercepted... | |
 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...polygon is equal to four right angles. 44 PLANE GEOMETRY PROPOSITION XXXI 113. Theorem. 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. Appl. Cons. Dem. I = 1 II = II Prove DE II AC and = Draw CFIIAB, meeting DE... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...bisecting one side bisects the other also. Hint.— Apply § 127. 130. Exercise — A straight line joining the middle points of two sides of a triangle is parallel to the third side. Hint. — Show that this line coincides with a line drawn as in § 129. 131. Exercise. — A straight... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...one side bisects the other also. A Hint. — Apply § 127. 130. Exercise — A straight line joining the middle points of two sides of a triangle is parallel to the third side. Hint. — Show that this line coincides with a line drawn as in § 129. /-'•'/. Exercise. — A straight... | |
 | Frederick Harold Bailey - Geometry, Analytic - 1897 - 392 pages
...are taken does . ,; .not affect the result. ^<--- - . t 43. Prove analytically that 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. • ]fS^S"' I •+• , . , * .- /* ', s \ THE POINT. 21 45. Prove analytically... | |
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