| Henry W. Keigwin - Geometry - 1897 - 250 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
...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... | |
| Edinburgh Mathematical Society - Electronic journals - 1897
...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 - 282 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... | |
| John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 418 pages
...meet in a point; 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 z2 + 441 xy - 56 y2 - 79 x - 47 y + 9 = 0 represents the bisectors of... | |
| John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 482 pages
...triangle whose vertices are (2, 2), (~7, -1), and (-1, 5). Plot the figure. 20. Show analytically that **the line joining the middle points of two sides of a triangle is** half the length of the third side. 21. A point is 7 units distant from the origin and is equidistant... | |
| |