 | Daniel Cresswell - 1817 - Liczba stron: 454
...subtend equal angles, at the center of the circle. (LXVII.) To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. (LXVII i.) If, from the bisection of any given arch of a circle,... | |
 | John Mason Good - 1819 - Liczba stron: 800
...bisected, and produned to any point; the rectangle contained hy the whole line thus produced, and Ihe part of it produced, together with the square of half...which is made up of the half and. the part produced. Prop. VII. Theor. If a straight line be divided into any two parts, the squares of the whole line,... | |
 | John Playfair - 1819 - Liczba stron: 350
...(AC+ CD)(AC_CD)." PROP. VI. THEOR. if a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced,...the part of it produced, together with the square nf half the. line bisected, is equal to the square of the straight line which is made up of the half... | |
 | Daniel Cresswell - 1819 - Liczba stron: 446
...VII. 9. THEORKM. If a straight line be divided into five equal parts,- the square of the ~vhok line is equal to the square of the straight line, which is made up of four of those parts, together with (he square of the straight line which is made up of three of those... | |
 | Daniel Cresswell - 1819 - Liczba stron: 486
...By the help of this proposition and (E. 14. 2.), a given straight line may be produced, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given rectilineal figure. PROP. LXXIV. contained by the two parts of the straight... | |
 | Peter Nicholson - 1825 - Liczba stron: 1046
...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. Let the straight line AB be divided into any two parts in the poin С ; four times... | |
 | Euclid, John Playfair - 1826 - Liczba stron: 326
...together with the square of half the line biseeted, is equal to the square of the straight line whieh is made up of the half and the part produced. Let the straight line AB be biseeted in C, and produeed to the point D ; the reetangle AD.DB, together with the square of CB, is... | |
 | Euclid - 1826 - Liczba stron: 234
...the part produced, together with the square of half the line, is equal to t/ie square of the right line, which is made up of the half and the part produced. Let the right line AB be bisected in the point с, and produce it to the point D ; the rectangle AD, DB, together... | |
 | Robert Simson - 1827 - Liczba stron: 546
...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. Let the straight line AB be divided into any two parts in the point C: four times... | |
 | John Playfair - 1832 - Liczba stron: 358
..."(AC+CD)(AC-CD)" PROP. VI. THEOR. If a straight line be bisected, and produced to any point; therect angle contained by the whole line thus produced, and the...of the half and the part produced. Let the straight lino AB be bisected in C, and produced to the point D D;the rectangle AD.DB, together with the square... | |
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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 on half the line bisected, is equal to the square on the straight line which is... 
