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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. "
Elements of Euclid [selections from book 1-6] adapted to modern methods in ... - Page 68
by Euclides - 1874
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Elementary Synthetic Geometry of the Point, Line and Circle in the Plane

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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The Elements of Geometry

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...
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Plane and Solid Geometry

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...
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Plane and Solid Geometry

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...
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Plane Geometry

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...
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Annual catalogue

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...
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Elements of Geometry: Plane geometry

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...
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Elements of Geometry, Part 1

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...
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Syllabus of Geometry

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...
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Plane and Solid Analytic Geometry

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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