| 1833
...the square of the aforesaid part. 5. 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.** a. Find the value of x in x1 — a x-\-b*^0. b. Divide a*— 3x*+x* + J x'-l'2x + 6 by ^-3. Find the... | |
| Euclid - 1835 - 513 sider
...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...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... | |
| John Playfair - 1836 - 114 sider
...was te be proved. PROP. XX. 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 he divided into any two parts in C ; the square of AB is equal to the squares... | |
| 1836 - 472 sider
...the square of the foresaid part. IV. 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.** Сок. From the demonstration, it is manifest that the parallelograms about the diameter of a square... | |
| Euclides - 1837 - 88 sider
...CB + CB*. PROPOSITION 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.** * By the rectangle AX BC (the lines A and BC being separate) is' meant the rectangle which may be formed... | |
| Andrew Bell - 1837 - 240 sider
...square of BC. PROPOSITION TV. 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.** Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares... | |
| Euclid, James Thomson - 1837 - 390 sider
...If, therefore, &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 twice** their rectangle, t Let the straight line AB be divided into any two parts in C ; the square of AB is... | |
| Charles Reiner - 1837 - 215 sider
...acute angle. SUBSTANCE OF SECTION VII. 1. Squares are equal to each other when their buses are equal. **of the two parts, together with twice the rectangle contained by the parts.** 3. If a straight line be divided into any two parts, twice the rectangle contained by the whole line... | |
| Euclides - 1838
...IV. THEOR. If a straight line be divided into any two parts, the sqtmre of the whole line is equal in **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 of AB shall be equal to the... | |
| Great Britain. Committee on Education - 1853
...given rectilineal angle. Sec/ion 2. 1. 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.** 2. If a straight line be divided into two equal and also into two unequal parts, the squares of the... | |
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