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" IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. "
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... - Page 175
by Richard Anthony Proctor - 1887 - 180 pages
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...two parts, together with twice the rectangle contained by those parts. SECTION IV. 1. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts ue together double of the square on half the line, and of the square on the...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...described on the other two sides, the angle contained by these two sides is a right angle. 2. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...straight lines not parallel, a straight line which shall be bisected in that point. 15. If a straight line be divided into two equal and also into two unequal parts the rectangle contained by the unequal parts together with the square on the line between the points of...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...also the two interior angles upon the same side together equal to two right angles. 5. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...line = the squares on the parts, and twice the rectangle contained by the parts. II. 5. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...described on the third side, then the angle contained by the two sides is a right angle. 4. If a straight line be divided into two equal and also into two unequal parts, then the rectangle contained by the unequal parts, together with the square on the line between the...
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Annual Report

1886 - 568 pages
...triangles on the same base and on the same side of it, are between the same parallels. 5. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the...
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Glasgow University Calendar

University of Glasgow - 1883 - 438 pages
...be less than the other two sides of the triangle but shall contain a greater angle. 3. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the line between the points of...
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The Practical Teacher, Volume 2

Education - 1883 - 658 pages
...parts at C. Then rcct. AB, BC = reel. AC, BC, together with sq. on BC.— See Prop. 3, 3. If a straight line be divided into two equal, and also into two unequal, parts, the sqs. on the two unequal parts are together double of the sq. on half the line, and of the sq. on the...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...part, This proposition is generally omitted by the student. IX. — If a straight line be divided ^nto two equal, and also into two unequal parts, the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section....
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