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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, the parts read in the University of Cambridge [book ... - Página 62
por Euclides - 1846
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 páginas
...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 line...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 178 páginas
...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 a straight...
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(Report).

Elizabethan club - 1880 - 156 páginas
...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 a point...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 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. State and explain Euclid's corollary to this proposition. 2. In obtuse-angled triangles,...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volumen24

Great Britain. Civil Service Commission - 1880 - 670 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. If О be any point on the base BC (or that base produced) of the isosceles triangle...
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Transactions, Volumen13

Royal Institution of Chartered Surveyors - 1881 - 532 páginas
...right angle is equal to the squares upon the sides which contain the right angle. 7. If a straight line be divided into two equal parts and also into two...section, is equal to the square of half the line. 8. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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Transactions, Volumen13

Institution of Surveyors (Great Britain). - 514 páginas
...right angle is equal to the squares upon the sides which contain the right angle. 7. If a straight line be divided into two equal parts and also into two...section, is equal to the square of half the line. 8. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 páginas
...show that the squares on PM, CM are together equal to the square on the radius. 2. If a straight line be divided into two equal parts, and also into two...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 the corresponding...
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The Cambridge Examiner, Volumen3

1883 - 536 páginas
...point of the opposite side is equal to, greater, or less than half of that side. 10. If a straight line be divided into two equal parts and also into two...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. 11. If a straight...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 páginas
...AC.CB PROP. V. THEOREM. lj a straight line be divided into two equal parts, and alto into two tmeaua. parts • the rectangle contained by the unequal parts,...with the square of the line between the points of tectim (or division), is equal to the tquare of half the line. Let the straight line AB be dmded into...
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