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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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The Practical Teacher, Volume 2

Education - 1883 - 654 pages
...of the straight lines=ioft. and 12 ft. Ans. Geometry. IN WATSON. — The straight line which bisects two sides of a triangle is parallel to the third side, and equal to one half of it. Let D, E be the middle points of the sides AB, AC of the triangle ABC. Then the straight...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 568 pages
...the straight lines^ioft. and 12 ft. An*. Geometry. i. N. WATSON. — The straight line which bisects two sides of a triangle is parallel to the third side, and equal to one half of it. Let D, E be the middle points of the sides AB, AC of the ГТЬеп the straight line...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...L. ACD and L. ACB. QED 99. The diagonals of a parallelogram bisect each other. 100. The line joining the middle points of two sides of a triangle is parallel to the base, and equal to half the base of the triangle. 101. The lines joining the middle points of the adjacent...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 pages
...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. [Cor. 2. and Rule of Identity.] SECTION 4. PROBLEMS. PROB. 1. To bisect a given angle. PROB....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...between these diagonals, then the area of the triangle is equal to the area of the quadrilateral. 106. The straight line which joins the middle points of two sides of any triangle is parallel to the base. 107. Straight lines joining the middle points of adjacent sides...
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The Practical Teacher, Volume 3

Education - 1884 - 708 pages
...Triangles upon equal bases and between the same parallels, are equal to one another. Prop. 38, Bk. I. 3. The straight line which joins the middle points of two sides of a triangle is equal to half the base. Let the sides AB, AC of the triangle ABC be bisected respectively in D and...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...Now these triangles are on the same base DE and on the same side of it ; .-. DE is || BC. I. 39 1. The straight line which joins the middle points of two sides of a triangle is || the third side. 2. The straight line drawn through the middle point of one of the sides of a triangle...
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The Eclectic School Geometry: A Revision of Evan's School Geometry

Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...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 text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...from the extremities of the base of a triangle to meet the opposite sides can bisect each other. (213) The straight line which joins the middle points of two sides of a triangle, (a) is parallel to the third side, (6) is half of the third side, (c) divides the triangle into two...
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The elements of plane geometry, Volume 1

Mathematical association - 1884 - 146 pages
...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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