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" The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it. "
Essentials of Solid Geometry - Σελίδα 7
των David Eugene Smith - 1924 - 238 σελίδες
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Elementary Statics

John Bascombe Lock - 1888 - 278 σελίδες
...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...

Wentworth & Hills's Exercise Manuals: Geometry, Τεύχος 3

George Albert Wentworth - 1889 - 264 σελίδες
...in the bisector is unequally distant from the sides. 70. Theorem. The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side. 71. Theorem. A. straight line drawn parallel to the base of a triangle,...

Exercise Manuals, Τεύχος 3

George Albert Wentworth - 1889 - 276 σελίδες
...in the bisector is unequally distant from the sides. 70. Theorem. The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side. 71. Theorem. A straight line drawn parallel to the base of a triangle,...

Elementary Synthetic Geometry of the Point, Line and Circle in the Plane

Nathan Fellowes Dupuis - 1889 - 370 σελίδες
...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...

The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - 1890 - 418 σελίδες
...latter intercept = 0. .-. BC-DE = DE. .-. DE = £BC. QED 155. COR. 1. The line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it. 156. COR. 2. Let ABCD be a trape- D/ - <.C zoid, AG = GD, and Gil || to AB. _/...

Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 442 σελίδες
...is terminated by the sides, or the sides produced. 66 C THEOREM (13)— The join of two mid points of two sides of a triangle is parallel to the third side, and half of it. In A ABC let D be the mid pt. of AB, and E of AC. Join DE ; and produce it to F, so that...

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...diagonals of a quadrilateral bisect each other it must be a parallelogram. Ex. 65. — The join of the mid-points of two sides of a triangle is parallel to the base and equal to half of it. Ex. 66.— The straight line through the mid-point of one side of a triangle...

A Text-book of Geometrical Deductions

James Andrew Blaikie, William Thomson - 1891 - 160 σελίδες
...quadrilateral bisect each other, the quadrilateral shall be a parallelogram. § 16, Ex. 1. The straight line which joins the mid.points of two sides of a triangle is parallel to the base and equal to half of it ; and, conversely, the straight line drawn through the midpoint of a side...

Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 426 σελίδες
...straight line drawn from the middle point, etc. Corollary I. The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to one-half of it. PROPOSITION XXII. 161. Theorem : The perpendiculars bisecting the sides of...

Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 σελίδες
...of its medians into two triangles of equal area. 6. The straight line which joins the middle points of two sides of a triangle is parallel to the third side. XXXII. 1. The straight lines drawn through the middle points of the sides of a triangle perpendicular...




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