| John Mason Good - 1819
...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 - 332 sider
...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
...; 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
...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 - 372 sider
...', 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 - 180 sider
...+ 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 - 320 sider
...&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 - 513 sider
...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 - 332 sider
...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 - 186 sider
...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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