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" If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Página 52
por Euclides - 1853
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The Elements of Geometry

George Bruce Halsted - 1886 - 394 páginas
...it produced, together with the square on half the sect bisected, is equivalent to the square on the line which is made up of the half and the part produced. 299. By 294, (a + by + a* = a* + 2ab + b* + «*. By the associative law, a* + 2ab + b* + a* = aa* +...
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First Steps in Geometry: A Series of Hints for the Solution of Geometrical ...

Richard Anthony Proctor - 1887 - 202 páginas
...sq. on CD + sq. on CB + sq. on CD (by VII.)' = 2 sq. on AC + 2 sq. on CD (---CB = AC) PROP. X. — Let the straight line AB be bisected in C, and produced to D : then, the squares on AD, DB shall be double of the squares on AC, C D. A c BD II ! I By IV., Sq....
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 páginas
...part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. 5. In obtuse-angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite...
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Calendar of Dalhousie College and University

Dalhousie University - 1889 - 220 páginas
...part of it produced together with the square of half the line bisected is equal to the square of the line which is made up of the half and the part produced : also deduce the geometrical proof of the algebraic formula 5. In a circle the greater chord is nearer...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 páginas
...the part produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. Let AB be bisected at C and produced to D ; ACBD K 7TT M GV then rect. AD, DB with sq. on CB=sq. on CD....
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 144 páginas
...part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. If ABC be an isosceles triangle, and D be a point on the base BC produced ; show that the difference...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890 - 526 páginas
...part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 3. Demonstrate that case of Kuc. II. 13 where the perpendicular falls within the given triangle. 4....
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 páginas
...the part produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 7. If a straight line be divided into any two parts, the squares on the whole line and on one of the...
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Euclid's Elements of Geometry, Libros 1-6

Henry Martyn Taylor - 1893 - 486 páginas
...and the part of it produced, and the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the...part produced *. Let the straight line AB be bisected at the point C, and produced to the point D : it is required to prove that the sum of the rectangle...
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Euclid's Elements of Geometry, Libros 1-6;Libro 11

Henry Martyn Taylor - 1895 - 708 páginas
...and the part of it produced, and the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the...part produced *. Let the straight line AB be bisected at the point C, and produced to the point D : it is required to prove that the sum of the rectangle...
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