 | John Mason Good - 1819 - 800 σελίδες
...part. Prop. IV. Theor. If a straight line be divided into any two parts, the square of the whole line n equal to the squares of the two parts, together with twice the rectangle contained by the parts. Prop. V. Theor. If a straight line be dividid into two equal parts, and also into two um quäl parts... | |
 | Jeremiah Day - 1820 - 352 σελίδες
...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. Let the side of a square be represented... | |
 | 1854 - 1112 σελίδες
...; 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...together with twice the rectangle contained by the parts ; and, were we to represent the line as a divided into two parts m, x, the algebraical expression for... | |
 | Charles Tayler - 1824 - 350 σελίδες
...iv. Book ii., viz., that If a number be divided into any two parts, the square of the •whole number is equal to the squares of the two parts, together with twice the product (or rectangle) of the twojiarts. For (c) Prime numbers are such as cannot be represented by... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...', 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 the rectangle contained by the parts. Let the straight line AB be divided into any two parts in С ; the square of AB is equnl to the squares... | |
 | Euclid - 1826 - 234 σελίδες
...+ 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 divided into any two parts in the point c ; the square of... | |
 | Euclid, John Playfair - 1826 - 326 σελίδες
...&e. QED C B D E C 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 twiee the reetangle eontained by the parts. Let the straight line AB be divided into any two parts... | |
 | Robert Simson - 1827 - 546 σελίδες
...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...together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C : the square of AB shall be equal to the... | |
 | Jeremiah Day - 1827 - 352 σελίδες
...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. Let the side of a square be represented... | |
 | John Playfair - 1829 - 210 σελίδες
...with the square of the foresaid part. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the two parts. Or, in other words, the square of the sum of two lines is greater than the sum of their... | |
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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. 
