 | 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...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... | |
 | 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... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...parallel 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 - 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... | |
 | 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 of a trapezoid... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...side. Hint. — Show that this line coincides with a line drawn as in § 129. 131. Exercise. — A straight line joining the middle points of two sides of a triangle equals half the third side. Hint.— Prove DE=BX, and DE-=XC. 132. Dcfs. — A trapezoid is a quadrilateral,... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...side. Hint. — Show that this line coincides with a line drawn as in § 129. /-'•'/. Exercise. — A straight line joining the middle points of two sides of a triangle equals half the third side. Hint.— Prove DE=BX, and DE-=XC. . 132. Defs. — A trapezoid is a quadrilateral,... | |
 | Frederick Harold Bailey - Geometry, Analytic - 1897 - 392 pages
...the points are taken 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 that,... | |
 | 1897 - 154 pages
...are equal in area ; and equal 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 a right bisector, (X 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.... | |
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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. 
