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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, the parts read in the University of Cambridge [book ... - Página 62
por Euclides - 1846
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 páginas
...PROP. V. THEOR. If a straight line le dividedinto two equal parts, and also into two unequalparts ; the rectangle contained by the unequal parts, together...the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts in the point D ; the...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volumen44

Perry Fairfax Nursey - 1846 - 536 páginas
...the 5th Proposition of the 2nd Book of Euclid's Elements, where it is demonstrated, that if a line be divided into two equal parts, and also into two unequal parts, the square of half the line is greater than the rectangle of the two unequal parts. Almost the whole of...
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The Mechanic's Magazine, Museum, Register, Journal and Gazette, Volumen44

1846 - 536 páginas
...the 5th Proposition of the 2nd Book of Euclid's Elements, where it is demonstrated, that if a line be divided into two equal parts, and also into two unequal parts, the square of half the line is greater than the rectangle of the two unequal parts. Almost the whole of...
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Arithmetic, in Two Parts

Frederic A. Adams - 1846 - 230 páginas
...what are the numbers ? The theorem on which the solution of this question depends is this, If a number be divided into two equal parts, and also into two unequal parts, the product of the two equal parts, that is, the square of half the number, will equal the product of the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1847 - 340 páginas
...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...the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts in the point D ; the...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 páginas
...parallelograms about the diameter of a square are likewise squares. PROP. V. THEOREM. If a straight line be divided into two equal parts, and also into two...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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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 páginas
...the squares described upon the sides containing the right angle. SECTION III. 1. If a straight line be divided into two equal parts, and also into two...of section is equal to the square of half the line. 2. In any triangle the square of the side subtending contained by either of these sides, and the straight...
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Minutes of the Committee of Council on Education: with Appendices, Volumen1

Great Britain. Committee on Education - 1848 - 514 páginas
...to the square described upon the sides containing the right angle. Section 3. 1. If a straight line be divided into two equal parts, and also into two...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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Report of the Committee of Council on Education (England and Wales ..., Tema 1

Great Britain. Council on Education - 1848 - 532 páginas
...to the square described upon the sides containing the right angle. Section 3. 1. If a straight line be divided into two equal parts, and also into two...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, Volumen2

1848 - 542 páginas
...&c. page 39, where a new proof is given of this important theorem. SECTION 3. 1. If a straight line be divided into two equal parts, and also into two...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...
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