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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 ... - Página 51
por John Playfair - 1855 - 318 páginas
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...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. 5. If a side of any triangle be produced, the exterior angle is equal to the two...
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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
...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. 5. Equal straight lines in a circle are equally distant from the centre : and those...
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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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First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - 1887 - 180 páginas
...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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Calendar of Dalhousie College and University

Dalhousie University - 1887
...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 straight line into two parts, so that the rectangle contained...
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Annual Report

Canada. Department of the Interior - 1888
...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 every triangle, the square on the side subtending either of the acute...
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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
...rectilineal angle. 4. If a straight line is divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the part between the points of section, is equal to the square of half the line. Show that the greatest...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 páginas
...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 at C and divided unequally at D ; then rect. AD, DB with sq....
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890
...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. 8. In obtuse-angled triangles, if a perpendicular be 9 drawn from either of the acute...
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