 | Euclides - 1846 - 292 σελίδες
...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 - 334 σελίδες
...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 - 710 σελίδες
...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 - 358 σελίδες
...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 - 52 σελίδες
...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 - 264 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... | |
 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...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 - 252 σελίδες
...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 - 790 σελίδες
...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 - 238 σελίδες
...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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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. 
