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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 Errors, by which Theon, Or Others, Have ... - Side 55
av Robert Simson - 1775 - 520 sider
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...likewise squares. PROPOSITION 5. THEOREM. ff a straight line be divided into two equal parts and -dso into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equalto the square on halftheline. Let the straight...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...parallelogram, are equal to one another. 3. 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. Divide...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...least when C is the middle point of AB. 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 of the line between the points of section, is equal to the square of half the line. The difference...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 sider
...Proposition itself (as in 5). PROP. V. THEOREM. Ij a straight line lie divided into two equal parts, and oho 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...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880
...triangle BAG is an acute-angled triangle. 3. 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. Show that...
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The Educational Journal of Virginia

Charles Henry Winston, Richard M. Smith, D. Lee Powell, John Meredith Strother, H. H. Harris, John Patrick McGuire, Rodes Massie, William Fayette Fox, Harry Fishburne Estill (F.), Richard Ratcliffe Farr, John Lee Buchanan, George R. Pace - 1880
...in American or French Geometries? viz: "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 of one-half the line." This...
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(Report).

Elizabethan club - 1880
...equal to the squares on PB and PD. 5. If a straight line be divided into two equal parts, and also 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 O be...
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Transactions, Volum 13

Institution of Surveyors (Great Britain).
...sides which contain the right angle. 7. 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. 8. To divide...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 sider
...equal to the square on the radius. 2. 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. What is...
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Transactions, Volum 13

Royal Institution of Chartered Surveyors - 1881
...sides which contain the right angle. 7. 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. 8. To divide...
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