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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, together with the square of half the line bisected, is equal to the square of the straight line which is made... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Página 47
por Euclid - 1835 - 513 páginas
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 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. (References — Prop. I. 31, 34, 36, '43, 46; II. 4, cor.) Hypothesis. — Let the straight line AB...
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Responsions

University of Oxford - 1863 - 328 páginas
...the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to...which is made up of the half and the part produced. 9. If a straight line be bisected, and produced to any point, the square of the whole line thus produced,...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volumen2

Robert Potts - 1863 - 482 páginas
...the rectangle contained by the whole line thus produced, ond the part of it produced, together with the square of half the line bisected, is equal to the square of the straight lino which is made up of the half and the part produced. 6. Upon a given straight line to describe...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 páginas
...contained bg the whole line thus produced, and the part of it produced, together with the square of (CB) half the line bisected, is equal to the square of the straight line (CD) which is made up of the half and the part produced. Upon CD describe the square CF (I. 46). Join...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 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...AB be bisected in C, and produced to the point D. Then the rectangle AD, DB, together with the square on CB, shall be equal to the square on CD. A c...
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Guide to the Civil service

Henry White - 1864 - 156 páginas
...the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to...which is made up of the half and the part produced. 4. The diameter is the greatest straight line in a circle; and, of all others, that which is nearer...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 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 produved. Let the straight line A J9be bisected in C, and produced to the point D. Then the rectangle...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 páginas
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole and that part. Prop. 9. If a straight line be divided into two equal, and also into two unequal...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 páginas
...produced, are together double of the square on half the line bisected, and of the square on the line made up of the half and the part produced. Let the straight line AB ba bisected in C, and produced to the point D. Then the squares on AD, DB, shall be double of the squares...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 360 páginas
...rectangle contained by the whole line thus produced, and the part of it produced, together with th» square of half the line bisected, is equal to the...in C, and produced to the point D ; the rectangle AD.DB together with the square of CB, is equal to the square of CD. Upon CD describe (Prop. 46.1.)...
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