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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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Page 57
by Euclid, Isaac Todhunter - 1867 - 400 pages
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The English Journal of Education, Volume 2

Education - 1848 - 542 pages
...also into two unequal parts, the rectangle contained by the unequal parts, togelher with the square of the line between the points of section, is equal to the square of half the line. — See " Bell's Euclid," prop. 5, bookii. SECTION 4. 1. Construct a triangle whose...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 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 Calendar of King's College, London

1850 - 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. 3. In every triangle, the square of the side subtending either of the acute angles,...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 196 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. 4. Equal straight lines in a circle are equally distant from the centre ; and conversely,...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 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 Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...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 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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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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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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