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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 ... - Pàgina 49
per Euclid, John Playfair - 1846 - 317 pàgines
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pàgines
...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...section, is equal to the square of half the line. EUCLID S ELEMENTS. PROP. VI. THEOREM. If a straight line be bisected, and produced to any point ; the...
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Report of the Committee of Council on Education (England and Wales ..., Edició 1

Great Britain. Council on Education - 1848 - 532 pàgines
...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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Minutes of the Committee of Council on Education: with Appendices, Volum 1

Great Britain. Committee on Education - 1848 - 514 pàgines
...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, Volum 2

1848 - 542 pàgines
...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 ...

Euclid, Thomas Tate - 1849 - 120 pàgines
...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 - 400 pàgines
...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 - 196 pàgines
...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 - 152 pàgines
...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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pàgines
...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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 pàgines
...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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