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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 ... - Page 49
by Euclid, John Playfair - 1846 - 317 pages
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...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).

Elizabethan club - 1880 - 156 pages
...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 in the base BC (or BC produced) of the isosceles triangle ABC, the...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 24

Great Britain. Civil Service Commission - 1880 - 670 pages
...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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Report on Foreign Systems of Naval Education

James Russell Soley - Naval education - 1880 - 346 pages
...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. Prove that the area of a square is greater than the area of a rectangle of the same...
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Transactions, Volume 13

Institution of Surveyors (Great Britain). - Surveying - 514 pages
...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...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, Volume 13

Royal Institution of Chartered Surveyors - Agriculture - 1881 - 532 pages
...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...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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...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, together...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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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...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 the corresponding algebraical formula 1 3. In every triangle, the square...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 286 pages
...line be bisected and produced, the rectangle of the whole line thus produced and the part produced, together with the square of the line between the points of section, is equal to the square of the line made up of the half and the part produced. For, CD being bisected in B and produced in A,...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...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. Cons. (Euclid's Method). — On CB describe a sq. : draw its diagonal BE. Draw DG...
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