 | Robert Simson - 1806 - 546 pagina’s
...rectangle AC, CB, together with the square of BC. If therefore a straight line, &c. QED PROP. IV. THEOR. IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained... | |
 | John Playfair - 1806 - 320 pagina’s
...Therefore AB.BC =AC.CB+BC2. Therefore, if a straight line, &c. QED c B •33 PROP. IV. THEOR. \ -^ IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts together with twice the rectangle contained... | |
 | Charles Hutton - 1811 - 406 pagina’s
...is equal to the sum of all the ether rectangles AjJ . AE, AD. EF, AD . FB. c^. ED Corol. If a right line be divided into any two parts ; the square on the whole line, is equal to both the rectangles of die whole line and each of the parts. CB THEOREM XXXI. THE Square of the Sum... | |
 | John Mason Good - 1813 - 714 pagina’s
...rectangle contained by the two parts, together with the aquarc of the foresaid part. Prop. IV. Theor. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together •with twice the rectangle contained... | |
 | John Playfair - 1819 - 350 pagina’s
...therefore AB.BC '= AC.CB -f BC2. Therefore, if a straight -F line, &c. Q, ED — D PROP. IV. THEOR. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained... | |
 | Charles Hutton - 1822 - 616 pagina’s
...the .-11111 of all the other rectangles AD . AE, AD . EF, AD . FB. 4. c. D. E FB Carol. If a right line be divided into any two parts ; the square on the whole line, is equal to both the rectangles of the whole line and each of the parts. THEOREM XXXI. THE Square of the Sum of... | |
 | 1854 - 1112 pagina’s
...product. Geometry furnishes us with a parallel to both these cases ; for, as Euclid tells us (II., 4), if a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained... | |
 | Charles Hutton - 1825 - 608 pagina’s
...sum of ;tll the other «• •* * M rectangles AD . AE, AD . EF, AD . FB. «. ED Corol. If a right line be divided into any two parts ; the square on the whole line, is equal to both the rectangles of the whole line and each of the parts. • THEOREM XXXI. THE Square of the Sum... | |
 | Peter Nicholson - 1825 - 1046 pagina’s
...CB, together with the square of BC. If therefore a straight line, &c. QED Proposition IV. Theorem. ', If a straight line be divided into any two parts, the square or in* ELEMENTS OP KUCUD. 191 vhole line is equal to the squares of the two parts, together with twice... | |
 | Robert Simson - 1827 - 546 pagina’s
...rectangle AC, CB, together with the square of BC. If therefore a straight line, &c. QED PROP. IV. THEOK. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained... | |
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If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. 
