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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 on the line between the points of section, is equal to the square on half the line. "
The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Seite 35
von Royal Military Academy, Woolwich - 1853
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Report of Her Majesty's Civil Service Commissioners, Together with ..., Band 24

Great Britain. Civil Service Commission - 1880 - 670 Seiten
...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, Band 13

Royal Institution of Chartered Surveyors - 1881 - 532 Seiten
...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 unequal parts ;...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, Band 13

Institution of Surveyors (Great Britain). - 514 Seiten
...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 unequal parts ;...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 Seiten
...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 unequal parts ;...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, Band 3

1883 - 536 Seiten
...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 unequal parts, the...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 Seiten
...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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The Oxford examiner, ed. by M.W.I. Shilleto, Ausgaben 1-5

Mary W I. Shilleto - 1882 - 418 Seiten
...difference of any two sides of a triangle is less than the third side. 3. If a straight line be divided into two equal parts, and also into two unequal parts,...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 (a+x)...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 Seiten
...Beet. AD, DB and sq. on CD = sq. on CB. EUCLID'S ENUNCIATION II. 5. If a straight line be divided into two equal parts and also into two unequal parts, the...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. Cons. (Euclid's...
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The Practical Teacher, Band 1,Ausgabe 1

1882 - 676 Seiten
...and likewise those which are terminated in the other extremity. 2. If a straight line be divided into two equal parts, and also into two unequal parts ;...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. 3. If from the...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 Seiten
...altitude is a units long, and whose base is 6 units long, is £ ab ? If a straight line be divided into two equal parts, and also into two unequal parts,...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. Why cannot we...
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