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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. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Side 56
av John Playfair - 1832 - 333 sider
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 sider
...together with the square on the aforesaid part. 6. 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 on the line between the points of section, is equal to the square on half the line. 7. To a given straight...
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The Elements of Geometry

George Bruce Halsted - 1885 - 389 sider
...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 parts, the rectangle 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 sider
...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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The Elements of Geometry

George Bruce Halsted - 1886 - 394 sider
...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 parts, the rectangle 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 - 1887 - 206 sider
...parts, are also themselves equal and parallel. 9. If a straight line !>e divided into two equal parts and also into two unequal parts, the rectangle 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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First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - 1887 - 202 sider
...contained by the parts together with the square on the other part. Prop. 5 should be established thus : — Let the straight line AB be divided into two equal parts in C, and into two unequal parts in D ; then the rectangle AD, DB, together with the square on CD, shall...
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Annual Report

Canada. Department of the Interior - 1888 - 756 sider
...straight line are parallel to each other. 3. Show that 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 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 sider
...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 sider
...the parallelogram shall be double of the triangle. 4. 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 section, is equal to the square on half the line. If any point D...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...square equivalent to sqs. on AC, CB. PROPOSITION 5. 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 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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