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. Euclid - Page 99by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
| 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 A ABC. To... | |
| 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, Solid - 1899 - 246 pages
...is parallel to the base of a triangle and bisects one side, it bisects the other side also. 189. The **line which joins the middle points of two sides of a triangle is parallel to the third side, and** is equal to half the third side. 190. The median of a trapezoid is parallel to the bases, and is equal... | |
| George Albert Wentworth - Geometry - 1899 - 498 pages
...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 of a triangle is parallel to 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... | |
| George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...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 of a triangle is parallel to 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... | |
| Seymour Eaton - 1899 - 362 pages
...into which a parallelogram is divided by its diagonals are equal to one another. • 3. Prove that **the straight line which joins the middle points of two sides of a triangle is parallel to the** base. Lesson No. 18 PROPOSITION 40. THEOREM Equal triangles, on equal bases in the same straight line,... | |
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