 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.  A Text-book of Geometry - Page 64by George Albert Wentworth - 1895 - 437 pagesFull view - About this book
 | 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.... | |
 | 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... | |
 | 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 - 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.... | |
 | 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... | |
 | 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... | |
 | George Albert Wentworth - Geometry - 1899 - 496 pages
...106. The three parallels by hypothesis intercept equal parts on the transversal AB, and therefore, by § 187, they intercept equal parts on the transversal...the third side, and is equal to half the third side. A line drawn through D, the middle point of AB,}\ to BC, passes through E, the middle point of AC,... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...- _Z - ^ three parallels by hypothesis intercept equal parts on the transversal AB, and therefore, by § 187, they intercept equal parts on the transversal...the third side, and is equal to half the third side. A line drawn through D, the middle point of AB, II to BC, passes through E, the middle point of AC,... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...§ 187, they intercept equal parts on the transversal AC; that is, the line DE bisects AC. 189. COB. 2. The line which joins the middle points of two sides...the third side, and is equal to half the third side. A line drawn through D, the middle point of AB, II to BC, passes through E, the middle point of AC,... | |
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