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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 - Side 79
av Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 456 sider
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Plane and Solid Analytic Geometry

Frederick Harold Bailey - 1897 - 392 sider
...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...
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Calendar, for the Year ...

1897 - 154 sider
...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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The Elements of Geometry

Henry W. Keigwin - 1897 - 254 sider
...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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Proceedings of the Edinburgh Mathematical Society, Volumer 15-16

Edinburgh Mathematical Society - 1897 - 316 sider
...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...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1897 - 374 sider
...bisects the other also. Hint.—Apply § 124. 128. Exercise.—A straight line joining the middle B points of two sides of a triangle is parallel to the third /\ side. MA—\N \ 129. Exercise.—A straight line joining the middle points of two sides of a triangle is...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1897 - 376 sider
...other also. T ^ N Hint. — Apply § 124. V 128. Exercise. — A straight line joining the middle B points of two sides of a triangle is parallel to the third /\ side. M/ \N Hint. — Show that this line coincides with a line drawn / J^ as in §127. A < 129. Exercise....
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An Elementary Course in Analytic Geometry

John Henry Tanner, Joseph Allen - 1898 - 466 sider
...equal length, bisect each other, and are at right angles. 10. Prove analytically that the line joining the middle points of two sides of a triangle is parallel to the third side and equal to half its length. Find the locus of the vertex of a triangle whose base is 2 a and the...
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The Essentials of Geometry (plane)

Webster Wells - 1898 - 250 sider
...AC. (Sum of 4 at B = 2 rt. A.) MISCELLANEOUS THEOREMS. PROP. XLVII. THEOREM. 130. 77;e line joining the middle points of two sides of a triangle is parallel to the third side, and equal to one-half of it. B Given line DE joining middle points of sides AB and AC, respectively,...
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Solid Geometry, Volumer 6-9

George Albert Wentworth - 1899 - 246 sider
...is parallel to the base of a triangle and bisects one side, it bisects the other side also. 189. 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. The median of a trapezoid is parallel to the bases, and is...
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Plane and Solid Geometry

George Albert Wentworth - 1899 - 498 sider
...they intercept equal parts on the transversal AC; that is, the line DE bisects AC. 189. COB. 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. A line drawn through D, the middle point of AB, II to BC, passes...
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