 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 46 INTERCEPTS BY PARALLEL LINES.  Solid Geometry - Page 243by George Albert Wentworth - 1899 - 218 pagesFull view - About this book
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...one side bisects the other also. A 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. /-'•'/. Exercise. — A straight... | |
 | Frederick Harold Bailey - Geometry, Analytic - 1897 - 392 pages
...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... | |
 | 1897 - 154 pages
...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
...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.... | |
 | Edinburgh Mathematical Society - Electronic journals - 1897 - 316 pages
...assumes only Euclid, I. 43, and its converse, with the well-known deductions, " the line joining the mid points of two sides of a triangle is parallel to the third side," and " the mid point of one diagonal of a parallelogram is also the mid point of the other." The proof given... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...bisects the other also. Hint.—Apply § 124. 128. Exercise.—A straight line joining the middle B points of two sides of a triangle is parallel to the third /\ side. MA—\N \ 129. Exercise.—A straight line joining the middle points of two sides of a triangle is... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...other also. T ^ N Hint. — Apply § 124. V 128. Exercise. — A straight line joining the middle B points of two sides of a triangle is parallel to the third /\ side. M/ \N Hint. — Show that this line coincides with a line drawn / J^ as in §127. A < 129. Exercise.... | |
 | George Albert Wentworth - Geometry - 1898 - 462 pages
...187, they intercept equal parts on the transversal AC; that is, the line DE bisects AC. 189. COR. 2. The line which joins the middle points of two sides...triangle is parallel to the third side, and is equal to haJf the third side. For, a line drawn through D, the middle point of AB, II to BC, passes through... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...AC. (Sum of 4 at B = 2 rt. A.) MISCELLANEOUS THEOREMS. PROP. XLVII. THEOREM. 130. 77;e 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 - 466 pages
...38. the 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 x2 - 441 xy - 50 if - 79 x - 47 y + 9 = 0 represents the bisectors of... | |
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