 | William Chauvenet - 1893 - 340 pages
...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... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...of a triangle. 2. Prove that any side of a triangle is less than the half-sum of all the sides. 3. The line joining the middle points of two sides of a triangle is parallel to the third side and equal to onehalf of it. 4. The two tangents to a circle from an outside point are equal.... | |
 | Webster Wells - Geometry - 1894 - 394 pages
...supplementary, the other two angles are supplementary. MISCELLANEOUS THEOREMS. PRorosiTioN XLVIII. THEOREM. 130. 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. Let DE bisect the sides AB and AC of the triangle ABC. To... | |
 | 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... | |
 | 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... | |
 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...exterior 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 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,... | |
 | University of the South - 1896 - 148 pages
...(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 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... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...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.... | |
 | 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... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 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... | |
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The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side. 
