 | 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... | |
 | William Chauvenet - 1893 - 340 pages
...one-half the base. Suggestion. 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
...1891. 1. The perpendicular is the shortest line which can be drawn from a point to a straight line. 2. The straight line joining the middle points of two...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. If AD and BE are... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...of any 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...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 produced at F A BDE = A... | |
 | University of the South - 1896 - 148 pages
...Two angles 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...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 arc. (4) In theorem... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...triangle and bisecting one side bisects the other also. («*.— 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... | |
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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. 
