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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 46 INTERCEPTS BY PARALLEL LINES. "
A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI. and XI - Página 79
por Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 456 páginas
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Proceedings of the Edinburgh Mathematical Society

Edinburgh Mathematical Society - 1885 - 300 páginas
...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,...
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Elements of Analytic Geometry

George Albert Wentworth - 1886 - 334 páginas
...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...
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Elements of Analytic Geometry

George Albert Wentworth - 1886 - 322 páginas
...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...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - 1887 - 346 páginas
...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...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - 1887 - 331 páginas
...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...
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Elements of Analytic Geometry

George Albert Wentworth - 1886 - 262 páginas
...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),...
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A Text-book of Geometry

George Albert Wentworth - 1888 - 264 páginas
...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,...
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Elementary Statics

John Bascombe Lock - 1888 - 278 páginas
...one of the sides of another piece of cardboard. Shew that their cGs are superposed. The line joining the middle points of two sides of a triangle is parallel to the third side of the triangle and is bisected by the line joining the middle point of the third side to the opposite...
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A Text-book of Geometry

George Albert Wentworth - 1888 - 272 páginas
...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 para/lei to the third side, and is equal to half the third side. For, a line drawn through D, the middle...
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Elementary Synthetic Geometry of the Point, Line and Circle in the Plane

Nathan Fellowes Dupuis - 1889 - 370 páginas
...one side of a triangle, parallel to a second side, bisects the third side. And, 2, the line through the middle points of two sides of a triangle is parallel to the third side. 85°. Theorem. — The three medians of a triangle pass through a common point. CF and AD are medians...
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