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" IF a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Página 53
por Euclides - 1853
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Annual Report of the Commissioners ..., Volumen72

1906
...parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 3. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and...
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Annual Report of the Association of Ontario Land Surveyors, Volumen17

Association of Ontario Land Surveyors - 1909
...Show that the angle made by this line witk the base is half the vertical angle of the triangle. 3. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and...
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Annual Calendar of McGill College and University

McGill University - 1883 - 404 páginas
...sides, and compare the area of the given triangle with that of the triangle formed by these lines. 5. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle under NATURAL PHILOSOPHY....
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Annual Report of the Department of Education of the Province of ..., Volumen5

Alberta. Department of Education - 1911
...straight line which shall form an isosceles triangle with two given intersecting straight lines. 8 3. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and...
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Parliamentary Papers, Volumen17

Great Britain. Parliament. House of Commons - 1871 - 914 páginas
...three squares ; show that each of the three triangles thus formed equals the given triangle ABC. 4. If a straight line be divided into any two parts, the squares of the 5. If a straight line touch a circle and from the point of contact a ITOIA FOEBST straight line be...
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Report of Her Majesty's Civil Service Commissioners ..., Volúmenes15-16

1870
...three squares : show that each of the three triangles thus formed equals the given triangle ABC. 4. If a straight line be divided into any two parts, the squares of the 5. If a1 straight line touch a circle and from the point of contact a IITDU. FOBEST straight line be...
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Educational Review, Volumen31

Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - 1906 - 558 páginas
...(b+c)x+«*=o and a be not equal to b, prove that each equation has its two roots equal to one another. 9. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and...
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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884
...one shall be equal to the angle which is contained by the two sides, equal to them, of the other. 3. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole...
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A First Course of Geometry

130 páginas
...the angle A is two-thirds of a right angle ; prove that BC2 = CA2 + AB2 + rect. CA.AB. 95. PROP. 4. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole line...
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The Elements of Plane Geometry

Euclid - 1845 - 328 páginas
...angle A is four-thirds of a right angle ; prove that BC2 = CA2 + AB2 + rect. CA . AB. 168. PROP. 4. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole line...
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