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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. "
The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ... - Side 55
av Robert Simson - 1775 - 520 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1847 - 317 sider
...denoted by a and b ; then, PROP. V. THEOR. If a straight linebe divided into two equal parts, andalsoinlo 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...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...are likewise squares. 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 with the square of the line between the points of section, is equal to the square of half the line. EUCLID S...
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Report of the Committee of Council on Education (England and Wales ..., Utgave 1

Great Britain. Council on Education - 1848
...containing the right angle. 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 with the square of the line between the points of section is equal to the squares of half the line. 2. In any...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848
...containing the right angle. SECTION III. 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 with the square of the line between the points of section is equal to the square of half the line. 2. In any...
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Minutes of the Committee of Council on Education, with Appendices, Volum 1

Great Britain. Committee on Education - 1848
...containing the right angle. 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 with the square of the line between the points of section is equal to the squares of half the line. 2. In any...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 sider
...are likewise squares. 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 with the square of the line between the points of section, is equal to the square of half the line. Let the...
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The Calendar of King's College, London

1850
...either of the interior 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 with the square of the line between the points of section, is equal to the square of half the line. 3. In every...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - 173 sider
...bisect the angle of a 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 with the square of the line between the points of section, is equal to the square of half the line. 4. Equal...
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The English Journal of Education, Volum 5

1851
...to two right angles. SECTION II.—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 with the square of the line between the points of section, is equal to the square of half the line. 3. The opposite...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...or 7 and 1.] BOOK II. 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 with the square of the line between the points of section, is equal to the square of half the line. Let the...
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