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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 ... - Página 51
por John Playfair - 1855 - 318 páginas
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## Minutes of the Committee of Council on Education, with Appendices, Volumen1

...Section 3. 1. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts together...line between the points of section is equal to the squares of half the line. 2. In any triangle the square of the side subtending any acute angle is less...
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## The English journal of education, ed. by G. Moody, Volumen2

George Moody - 1848
...equal parts, and 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 arc shall be equal...
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## The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849
...PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together...equal parts in the point c, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square of CD, is equal .to the square of CB....
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## The Calendar of King's College, London

1850
...opposite angles. 2. If a right 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. 3. In every triangle, the square of the side subtending either of the acute angles, is less than the...
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## A collection of problems and examples, adapted to the "Elementary course of ...

Harvey Goodwin - 1851 - 173 páginas
...parallelogram? 3. 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. 4. Equal straight lines in a circle are equally distant from the centre ; and conversely, those which...
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## The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together...equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB....
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## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...PROPOSITION V. THEOR. If a straight line be divided inio two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together...equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB....
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## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...PROP. V. THEOREM. If a straight 'line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together...equal parts in the point C, and into two unequal parts at the point D; the rectangle AD, DB, together with the square of CD, is equal to the square of CB....
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## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 páginas
...V. — THEOREM. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together...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 two unequal...
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## The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose

Euclides - 1853
...proved. PEOP. V. THEOE. If a straight line be bisected, and also divided into two unequal parts : then the rectangle contained by the unequal parts together with the square of the part of the line intercepted between the points of section, shall be equal to the square of half the...
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