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
| Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...parallel to the base passes through the middle point of the other side. COR. 3. The straight line joining **the middle points of two sides of a triangle is parallel to the** base. Ex. 58. The straight lines joining the middle points of the sides of a triangle divide it into... | |
| George Bruce Halsted - Geometry - 1885 - 389 pages
...second side, it will bisect the third side ; and, inversely, the sect joining the midpoints of any **two sides of a triangle is parallel to the third side and equal to half of it.** 233. Three or more lines which intersect in the same point are said to be Concurrent. 234. Three or... | |
| Edinburgh Mathematical Society - Mathematics - 1885 - 304 pages
...HK, HL, therefore HA is the resultant of HK, HL. Hence, HKAL is a parallelogram ; the line joining **the middle points of two sides of a triangle, is parallel to** and equal to half of the third side. 3. When P is at S, the centre of the circumscribing circle ABC,... | |
| George Bruce Halsted - Geometry - 1886 - 394 pages
...second side, it will bisect the third side ; and, inversely, the sect joining the midpoints of any **two sides of a triangle is parallel to the third side and equal to half of it.** 233. Three or more lines which intersect in the same point are said to be Concurrent. 234. Three or... | |
| George Albert Wentworth - Geometry, Analytic - 1886 - 334 pages
...Prove that the diagonals of a square are perpendicular to each other. 53. Prove that the line joining **the middle points of two sides of a triangle is parallel to the third side.** 55. Show that the three points (3a, 0), (0, 3b), (a, 2li) are in a straight line. 56. Show that the... | |
| George Albert Wentworth - 1886 - 322 pages
...Prove that the diagonals of a square are perpendicular to each other. 53. Prove that the line joining **the middle points of two sides of a triangle is parallel to the** thh-d side. 5.5. Show that the three points (3a, 0), (0, 3i), (a, 2K) are in a straight line. 56. Show... | |
| William Chauvenet - Geometry - 1887 - 346 pages
...Draw DF parallel to AC. See now Proposition VII. and Proposition XXIX. 29. The straight line joining **the middle points of two sides of a triangle is parallel to the third side.** (v. Exercise 28.) 30. The three straight lines joining the middle points of the sides of a triangle... | |
| William Chauvenet - Geometry - 1887 - 331 pages
...Draw DF parallel to AC. See now Proposition VII. and Proposition XXIX. 29. The straight line joining **the middle points of two sides of a triangle is parallel to the third side,** (v. Exercise 28.) 30. The three straight lines joining the middle points of the sides of a triangle... | |
| George Albert Wentworth - Geometry, Analytic - 1886 - 262 pages
...that the diagonals of a square are _L to each other. 53. Prove that the line joining the middle point **of two sides of a triangle is parallel to the third side.** 54. What is the geometric meaning of the equation 55. Show that the three points (3 a, 0), (0, Bb),... | |
| George Albert Wentworth - Geometry - 1888 - 264 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. For, a line drawn through D, the middle point of AB, II to BC, passes... | |
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