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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. "
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Página 51
por Euclides - 1860
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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 ...

Euclid, John Playfair - 1846 - 334 páginas
...also into two unequalparts ; 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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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 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...
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Minutes of the Committee of Council on Education: with Appendices, Volumen1

Great Britain. Committee on Education - 1848 - 514 páginas
...right angle is equal to the square described upon the sides containing the right angle. Section 3. 1. If a straight line be divided into two equal parts,...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 triangle...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 páginas
...angle is equal to the squares described upon the sides containing the right angle. SECTION III. 1. If a straight line be divided into two equal parts,...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 triangle...
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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
...right angle is equal to the square described upon the sides containing the right angle. Section 3. 1. If a straight line be divided into two equal parts,...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 triangle...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 páginas
...manifest, that the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOREM. If a straight line be divided into two equal parts,...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 ELEMENTS....
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The English Journal of Education, Volumen2

1848 - 542 páginas
...Tate's Geometry," &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,...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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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 páginas
...manifest that the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts,...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...
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The Calendar of King's College, London

1850 - 400 páginas
...produced, the exterior angle is greater than either of the interior opposite angles. 2. If a right line be divided into two equal parts, and also into...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,...
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