 | Frederick Harold Bailey - Geometry, Analytic - 1897 - 392 pages
...which the points are taken does . ,; .not affect the result. ^<--- - . t 43. Prove analytically that the line joining the middle points of two sides of...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,... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...median 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.... | |
 | 1897 - 154 pages
...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... | |
 | Rupert Deakin - 1897 - 344 pages
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 | 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
...Show that this line coincides with a line drawn / J^ as in §127. A < 129. Exercise. — A straight line joining the middle points of two sides of a triangle is equal to half the third / side. * ty— Hint.— Prove DE = BX, and DE = XC. p/ , 130. Defs. — A... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...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 equal to half the third side. Hint.—Prove DE - BX, and DE = XC. 130. Defs.—A trapezoid is a quadrilateral,... | |
 | Webster Wells - Geometry - 1898 - 284 pages
...line parallel to AC. (Sum of A at B = 2 rt. A.) MISCELLANEOUS THEOREMS. V PROP. XL VII. THEOREM. 130. The line joining the middle points of two sides of...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 A ABC. To Prove DE II BC,... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...parallel to 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...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 A ABC. To Prove DE II BC,... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 424 pages
...square are of equal length, bisect each other, and are at right angles. 10. Prove analytically that the line joining the middle points of two sides of...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 difference... | |
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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. 
