 The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.  Plane and Solid Geometry - Page 292by George Albert Wentworth, David Eugene Smith - 1913 - 470 pagesFull view - About this book
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...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... | |
 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...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... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...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.... | |
 | Frederick Harold Bailey - Geometry, Analytic - 1897 - 392 pages
....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... | |
 | Edinburgh Mathematical Society - Electronic journals - 1897 - 316 pages
...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... | |
 | 1897 - 154 pages
...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... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...= 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,... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 458 pages
...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... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...triangle, parallel to another side, bisects the third side. R. . /T /* T\ x,(V R. / f w\ „ P— 4 3 3. The line joining the mid-points of two sides of a triangle is parallel to the third side. For if not, suppose through the mid-point of one of those sides a line is drawn parallel to the base... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...another side, bisects the third side. Draw a third parallel through the vertex. Then cor. 1 proves it. 3. The line joining the mid-points of two sides of a triangle is parallel to the third side. For if not, suppose through the mid-point of one of those sides a line is drawn parallel to the base... | |
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