 | University of the South - 1896 - 148 pages
...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
...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 - 1896 - 276 pages
...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 - 276 pages
...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... | |
 | Frederick Harold Bailey - Geometry, Analytic - 1897 - 392 pages
...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... | |
 | 1897 - 154 pages
...triangles on the same base are between the same parallels. Shew that the straight line joining the middle points of two sides of a triangle is parallel to the third side. 2. Draw a tangent to a circle from a given point without its circumference. Shew that two tangents... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...is Y) Therefore the right bisector is the median. ( Y is X) 124. THEO. The line joining the middle points of two sides of a triangle is parallel to the third side. 125. THEO. Converse of § 124. 126. THEO. The line o/§ 124 is equal to one half the third side. 127.... | |
 | Webster Wells - Geometry - 1898 - 284 pages
...at B = 2 rt. A.) MISCELLANEOUS THEOREMS. V PROP. XL VII. 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. B Given line DE joining middle points of sides AB and AC, respectively, of... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 458 pages
...bisect each other, and are at right angles. 10. Prove analytically that the line joining the middle points of two sides of a triangle is parallel to the third side and equal to half its length. 11. Find the locus of the vertex of a triangle whose base is 2 a and the... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 424 pages
...perpendicular from each vertex to the opposite sides meet in a point ; 39. the line joining the middle points of two sides of a triangle is parallel to the third side. 40. Show that the equation 56 z2 - 441 xy - 56 y2 - 79 x - 47 y + 9 = 0 represents the bisectors of... | |
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The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it. 
