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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 - Strona 79
autor: Euclid - 1904 - Liczba stron: 456
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The Eclectic School Geometry: A Revision of Evan's School Geometry

Evan Wilhelm Evans - 1884 - Liczba stron: 170
...perpendicular BD equal to the side of the given square. Complete. See Prob. IX. 13. A line joining the middle points of two sides of a triangle is parallel to the third, and equal to the half of it. 14. Bisect the sides of a quadrilateral, join the points of bisection,...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - 1884 - Liczba stron: 150
...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...
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The elements of plane geometry, Tom 1

Mathematical association - 1884 - Liczba stron: 146
...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...
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Proceedings of the Edinburgh Mathematical Society

Edinburgh Mathematical Society - 1885 - Liczba stron: 300
...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 - Liczba stron: 334
...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 - Liczba stron: 322
...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 - Liczba stron: 346
...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 - Liczba stron: 331
...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 - Liczba stron: 262
...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 - Liczba stron: 264
...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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