| Euclides - 1846
...straight line ScQED 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...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... | |
| Euclid, John Playfair - 1846 - 317 sider
...shall have ac=ic+c2. 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...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 is equal to the squares... | |
| Great Britain. Committee on Education - 1847
...triangle. 3. A straight line being divided into two parts, prove the square of the whole line to be **equal to the squares of the two parts, together with twice the rectangle contained by the parts.** 4. Prove the angle in a semicircle to be a right angle. 518 mities 36° 201 and 60° 10* ; required... | |
| Jeremiah Day - 1847 - 332 sider
...language. The proposition, (Euc. 4. 2.) that when a straight line is divided into two par.ts, the square of **the whole line is equal to the squares of the two parts, together with twice the** product of the parts, is demonBtrated, by involving a binomial Let the side of a square be represented... | |
| Euclides - 1848
...aforesaid part. PROP. IV. THEOREM. 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.** COR. From the demonstration, it is manifest, that the parallelograms about the diameter of a square... | |
| Jeremiah Day, James Bates Thomson - 1848 - 252 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... | |
| Euclid, Thomas Tate - 1849 - 108 sider
...straight, &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...together with twice the rectangle contained by the parts.** Upon AB describe (i. 46.) the square ADEB, and join BD, and through c draw (i. 31.) CGF parallel to... | |
| Elias Loomis - 1849 - 226 sider
...THEOREM. If a straight line is divided into any two parts, the square of the whole line is equivalent **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 C; the square on AB is equivalent to the... | |
| Great Britain. Committee on Education - 1850
...contain the right angle. Section 3. 1. If a straight 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** hy the parts. 2. Show that if a straight line be divided into any two parts, the squares of the whole... | |
| Charles Davies - 1850 - 216 sider
...parts, the square described on the whole line is equivalent to the sum of the squares described on **the two parts, together with twice the rectangle contained by the parts.** . Let the line AB be divided into two n IT n parts at the point E: then will the square described on... | |
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