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" IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Página 43
por Euclides - 1814
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A Text-book of Geometrical Deductions: Corresponding to Euclid ..., Libro 2

James Blaikie - 1892
...line bisected, shall be equal to the square on the line made up of the half and the part produced. 7. If a straight line be divided into any two parts, the square on the whole line, together with the square on one of the parts, shall be equal to twice the rectangle...
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Euclid's Elements of Geometry, Libros 1-6

Henry Martyn Taylor - 1893 - 504 páginas
...contained by each of the parts of the first line and each of the parts of the second line. PROPOSITION 2. If a, straight line be divided into any two parts, the square on the whole line is equal to the sum of the rectangles contained by the whole and each of the parts*....
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An Introduction to the Elements of Science

St. George Jackson Mivart - 1894 - 392 páginas
...be more conveniently treated algebraically. Thus, eg, there is one * which declares that if a right line be divided into any two parts, the square of the whole line is equal to the square of the two parts together with twice the product of those parts. Now evidently this is equivalent...
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An Introduction to the Elements of Science

St. George Jackson Mivart - 1894 - 392 páginas
...represent one of the two parts into which the right line is divided and b to represent its other part, then the square of the whole line is equal to the squares of a and b together with twice the product of a and b, and this must be a2 + 2ab + b*, which, as we saw...
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Euclid's Elements of Geometry, Libros 1-6;Libro 11

Henry Martyn Taylor - 1895 - 657 páginas
...if the rectangle BD, BC be equal to the square on AB, the angle A is a right angle. PROPOSITION 4. If a straight line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the parts and twice the rectangle contained...
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Competition for Situations as Assistant in the British Museum: And ...

Great Britain. Civil Service Commission - 1896 - 96 páginas
...diameter of the original parallelogram. 5. If the square described on one of the sides of a • 6. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories. Council of Public Instruction - 1897
...v >:—•;%-;••* •; 2:. as-y sw. arts, tb* •'. . •> • • V .•> , • .«* B. 5. (a) If a straight line be divided into any two parts,...the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the two parts. II. 4. (6) Deduce II....
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900
...are each equal to the quadrilateral AEFD, and that the triangle CBF is half of the triangle ABC. 6. If a straight line be divided into any two parts the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle...
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The School World, Volumen3

1901
...the squares on AX, XB is equal to the square on AB ; show that the angle AXB is a right angle. (5) If a straight line be divided into any two parts the square on the whole line is equal to the sum of the rectangles contained by the whole line and each of the...
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