| John Playfair - 1855 - 317 sider
...oc=6c+c2. PROP. IV. THEOR. IJ a straight lint be divided into any two parts, the square of the whole line u **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 C ; the square of AB is equal to the squares... | |
| Edinburgh univ - 1868
...greater than the base of the other. 3. 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.** 4. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer... | |
| Robert Potts - 1868 - 410 sider
...a* = i»s + 2m» + »*. That is, if a number be divided into any two parts, the square of the number **is equal to the squares of the two parts together with twice the** product of the two parts. From Euc. n. 4, may be deduced a proof of Eue. I. 47. In the fig. take DL... | |
| Robert Johnston (F.R.G.S.) - 1869 - 178 sider
...together equal to two right angles. 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.** 5. Divide a given straight line into two parts, so that the rectangle contained by the whole and one... | |
| Richard Wormell - 1870 - 16 sider
...If a line be divided into two parts, the square on the whole is equal to the sum of the squares on **the two parts, together with twice the rectangle contained by the parts.** Let AB (fig. 144) be divided in C ; then the square on AB = the sum of the squares on AC, CB, together... | |
| Elias Loomis - 1871 - 58 sider
...THEOREM. If a straight line is divided into any two parts, the square oj 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... | |
| Patrick Weston Joyce - 1871
...divided into any two parts, the square deseribed on the whole line is equal to the squares deseribed on **the two parts, together with twice the rectangle contained by the parts.** 2. Deseribe a regular pentagon about a given cirele. 3. Similar triangles are to one another in the... | |
| Euclides - 1871
...straight line be divided into any two parts, the square mi the whole line is equal to the squares on **the two parts together with twice the rectangle contained by the parts.** Or X Let the St. line AH be divided into any two parts in C. Then must sq. on AB = sum ofsqq. on AC,... | |
| Henry Major - 1873
...CB, together with the square of BC. -If a straiyht 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** "tarts. ca Let AB be divided into any two parts in C ; then the square of AB shall be equal to the... | |
| Edward Atkins - 1874
...be divided into any two parts, the square on t/ie whole line is equal to the sum of the squares on **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 shall be equal to the... | |
| |