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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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 53
av Euclid, Robert Simson - 1821 - 516 sider
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THE ELEMENTS OF GEOMETRY.

GEORGE BRUCE HALSTED - 1885
...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, Volum 4

1885
...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 - 366 sider
...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
...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
...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
...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, and...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
...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
...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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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...that DR and EM each = BC. Show that HRMC is a square equivalent to sqs. on AC, CB. PROPOSITION 5. If a straight line be divided into two equal parts, and...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. ' Let AB be bisected...
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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 sider
...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 and...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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