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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. "
Euclid - Page 99
by Euclid, Rupert Deakin - 1903 - 164 pages
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...through the vertex, th. 27 or cor. 1 proves it. Draw the figure. 3. The line joining the mid-points of two sides of a triangle is parallel to the third side. For if not, suppose through the mid-point of one of those sides a line is drawn parallel to the base...
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Syllabus of Geometry

George Albert Wentworth - Geometry - 1896 - 68 pages
...parallel to the base of a triangle, and bisecting one side, bisects the other side also. 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. 190. Cor. 3. The line which is parallel to the bases of a trapezoid...
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Annual catalogue

University of the South - 1896 - 148 pages
...whose sides are perpendicular, each to each, are either equal or supplementary. (2) The line joining the middle points of two sides of a triangle is parallel to the third side, and equal to one-half of it. (3) The angle between a tangent and a chord is measured by one-half its intercepted...
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Plane Geometry

George D. Pettee - Geometry, Plane - 1896 - 272 pages
...polygon is equal to four right angles. 44 PLANE GEOMETRY PROPOSITION XXXI 113. Theorem. The line joining the middle points of two sides of a triangle is parallel to the third side and equal to one-half of it. Appl. Cons. Dem. I = 1 II = II Prove DE II AC and = Draw CFIIAB, meeting DE produced...
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Elements of Geometry, Volume 1

Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...bisecting one side bisects the other also. Hint.— Apply 127. 130. Exercise — A straight line joining the middle points of two sides of a triangle is parallel to the third side. Hint. — Show that this line coincides with a line drawn as in 129. 131. Exercise. — A straight...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 564 pages
...one side bisects the other also. A Hint. — Apply 127. 130. Exercise — A straight line joining the middle points of two sides of a triangle is parallel to the third side. Hint. — Show that this line coincides with a line drawn as in 129. /-'•'/. Exercise. — A straight...
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Plane and Solid Analytic Geometry

Frederick Harold Bailey - Geometry, Analytic - 1897 - 392 pages
...are taken does . ,; .not affect the result. ^<--- - . t 43. Prove analytically that the line joining the middle points of two sides of a triangle is parallel to the third side ; and equal to one half of it. • ]fS^S"' I •+• , . , * .- /* ', s \ THE POINT. 21 45. Prove analytically that,...
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The Elements of Geometry

Henry W. Keigwin - Geometry - 1897 - 250 pages
...bisector, (X is Y) Therefore the right bisector is the median. ( Y is X) 124. THEO. The line joining the middle points of two sides of a triangle is parallel to the third side. 125. THEO. Converse of 124. 126. THEO. The line o/ 124 is equal to one half the third side. 127....
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Calendar, for the Year ...

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...
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Proceedings of the Edinburgh Mathematical Society, Volumes 15-16

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...
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