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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. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 88
by Robert Potts - 1876 - 403 pages
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...the segments, together with twice the rectangle under * each pair of segments. / The rectangle under the unequal parts, together with the square on the line between the points of section, is equal in area to tho square on half the line. .The sum of the squares on the unequal parts is equal in area...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...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. Let the straight line AB be divided into two equal parts in the point C, and into...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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. Let the straight line AB be divided into two equal parts in the point C, and into...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...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 Une. LET the straight line ab be divided into two equal parts in the point С, and into...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...unequal parts (in D), the rectangle contained by the unequal parts, together with the square of (CD), the line between the points of section, is equal to the square of hilf the line : that is, DB H « 46 I. "upon С В describe the square С F : » draw BE ; through...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...with the square of the line between the points of section (or division), is equal to the square of half the line. Let the straight line AB be divided into two equal parts at the point С, and into two unequal parts at the point D. The rectangle AD,DB, together with the...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...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. Let the straight line AB (Fig. 40) be divided into two equal parts at the point C,...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...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. State this result algebraically. 5. Draw a straight line from a given point, either...
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National Society's Monthly Paper

1857 - 408 pages
...also into two unequal parts, the reptangle 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. 6. To describe a square that shall be equal to a given rectilineal figure. 7. If...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...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. 2. Equal straight lines in a circle are equally distant from the centre ; and those...
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