| 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 - 398 pages
...is parallel to AD and BC. II. To prove EF = \ (AD + BC). Since EG bisects AB and BD, EG = %AD. (1) **[The line joining the middle points of two sides of a triangle is** equal to one-half the third side.] • (§ 130.) And since GF bisects BD and CD, GF= ^BC. (2) Adding... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 320 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 - 320 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, Plane - 1896 - 272 pages
...angles 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...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
...(1) 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...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 - 276 pages
...to the base of a triangle and bisecting one side bisects the other also. 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 line... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896
...and 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... | |
| George Albert Wentworth - Geometry - 1896 - 50 pages
...a triangle, and bisecting one side, bisects the other side also. 189. Cor. 2. The line which joins **the middle points of two sides of a triangle is parallel to 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... | |
| Frederick Harold Bailey - Geometry, Analytic - 1897 - 371 pages
...which the points are taken does . ,; .not affect the result. ^<--- - . t 43. Prove analytically that **the line joining the middle points of two sides of...triangle is parallel to the third side ; and equal to** one half of it. • ]fS^S"' I •+• , . , * .- /* ', s \ THE POINT. 21 45. Prove analytically that,... | |
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