 | Euclides - 1862 - 140 σελίδες
...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... | |
 | University of Oxford - 1863 - 316 σελίδες
...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,... | |
 | Robert Potts - 1863 - 482 σελίδες
...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... | |
 | Euclides - 1863 - 122 σελίδες
...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... | |
 | Euclides - 1864 - 262 σελίδες
...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... | |
 | Henry White - 1864 - 156 σελίδες
...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... | |
 | Euclides - 1864 - 448 σελίδες
...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... | |
 | Euclides - 1865 - 402 σελίδες
...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... | |
 | Robert Potts - 1865 - 528 σελίδες
...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... | |
 | John Playfair - 1855 - 350 σελίδες
...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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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... 
