 | John Playfair - 1806 - 320 σελίδες
...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 by the parts. Let the straight line AB be... | |
 | Robert Simson - 1806 - 546 σελίδες
...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 by the parts. Let the straight line AB be... | |
 | John Mason Good - 1813 - 714 σελίδες
...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 by the parts. Prop. V. Theor. If a straight... | |
 | Jeremiah Day - 1814 - 304 σελίδες
...ordinary language. The proposition, (Euc. 4. 2.)] that when a straight line is divided into two parts, the square of the whole line is equal to the squares of the two parts, togedier with twice die product of the parts, is demonstrated, by involving a binomial.... | |
 | Euclides - 1816 - 588 σελίδες
...therefore a straight line, &c. QED PROP. IV. THEOR. Is 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 by the parts. Let the straight line AB be... | |
 | John Playfair - 1819 - 354 σελίδες
...straight If D -E line, &c. Q, ED PROP. IV. THEOR. If a straight line be divided into any tiio parts, the square, of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be... | |
 | 1854 - 1112 σελίδες
...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 by the parts ; and, were we to represent... | |
 | Euclid - 1826 - 234 σελίδες
...and it be ag =fg + g2. Q- ED PROPOSITION IV. THEOREM. If a right line be divided into any two part:!, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained under the parts. Let the right line AB be... | |
 | Robert Simson - 1827 - 546 σελίδες
...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 by the parts. Let the straight line AB be... | |
 | Jeremiah Day - 1827 - 352 σελίδες
...ordinary language. The proposition, (Euc. 4- 2.) that when a straight line is divided into two parts, the Square of the whole line is equal to the squares of the two parts, together with twice the product of the parts, is demonstrated, by involving a binomial.... | |
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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 by the parts. 
