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" If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. "
The English Journal of Education - Page 272
1851
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 pages
...squares on one pair of opposite sides shall be equal to the sum of the squares on the other pair. 5. If a straight line be divided into two equal parts...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Enunciate any other...
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The Elements of Geometry

George Bruce Halsted - 1885 - 389 pages
...into two unequal parts at D, and for BD put a, and for DC put b, we get the theorem : If a sect is divided into two equal parts, and also into two unequal...contained by the unequal parts, together with the square on the line between the points of section, is equivalent to the square on half the sect. 297. If CD...
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The Practical Teacher, Volume 4

1885 - 630 pages
...abbreviations for •words may be ued.] Answer two Questions, including No. 3, if you can do so. \. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contain«! by the unequal parts, together with the square on the line between the points of section,...
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The Elements of Geometry

George Bruce Halsted - 1886 - 394 pages
...into two unequal parts at Z>, and for BD put a, and for DC put b, we get the theorem : If a sect is divided into two equal parts, and also into two unequal...contained by the unequal parts, together with the square on the line between the points of section, is equivalent to the square on half the sect. 297. If CD...
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Calendar of Dalhousie College and University

Dalhousie University - 1886 - 216 pages
...divided into two equal and also into two unequal parts, the rectangle contained by the two latter, together with the square of the line between the points...section, is equal to the square of half the line. (Best, by the division of the line.) 3. Deduce from the last problem, and express in words, the proposition...
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Calendar of Dalhousie College and University

Dalhousie University - 1887 - 206 pages
...straight lines towards the same parts, are also themselves equal and parallel. 9. If a straight line !>e divided into two equal parts and also into two unequal...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 10. Divide a given...
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Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...straight lines which are parallel to the same straight line are parallel to each other. 3. Show that if a straight line be divided into two equal parts,...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 4. Show that in...
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Calendar of Dalhousie College and University

Dalhousie University - 1889 - 220 pages
...a straight line be divided into two equal and also into two unequal parts, the rectangle of the two unequal parts together with the square of the line...of section is equal to the square of half the line. 5. Divide a line into two parts so that the rectangle of the whole line and one of the parts is equal...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 pages
...equal to the square on a given straight line which is greater than half AB. 5. If a straight line is divided into two equal parts, and also into two unequal parts, the squares on the unequal parts are together double of the square on half the line, and of the square...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 144 pages
...eight questions ordinary abbreviations may be employed, but the method of proof must be geometrical^ 1. If a straight line be divided into two equal parts...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 2. In obtuse-angled...
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