 | Robert Potts - 1860 - 380 páginas
...or a' = m" + Imn + n'. 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... | |
 | Euclides - 1860 - 288 páginas
...line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. Given the straight line AB divided into any two parts in C ; to prove that the square on AB is equal... | |
 | War office - 1861 - 714 páginas
...straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the parts. 3. If in a circle straight lines cut one another which do not both pass through the centre, they do... | |
 | Euclides - 1862 - 172 páginas
...&c. QED PROP. IV. — THEOREM. If a straight line be divided into any two parts; then the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. (References — Prop. i. 5, 6, 29, 31, 34, 43, 46.) Let the straight line AB be divided into any two... | |
 | University of Oxford - 1863 - 316 páginas
...these two sides is a right angle. 8. 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. 9. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle... | |
 | Henry White - 1864 - 156 páginas
...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... | |
 | Euclides - 1864 - 262 páginas
...or a* = m' + 2mn + n'. 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 Euc. i. 47. In the fig. take DL... | |
 | Euclides - 1864 - 448 páginas
...or o* = m* + 2mn + n'., 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 tile two parts. From Euc. n. 4, may be deduced a proof of Euc. I. 47. In the fig. take DL... | |
 | University of Calcutta - 1864 - 388 páginas
...straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. To what algebraical proposition is this equivalent ? 6. Describe a square that shall be equal to a... | |
 | Euclides - 1865 - 402 páginas
...square of the aforesaid part. Prop. 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. Cor. The parallelograms about the diameter of a square are likewise squares. Prop. 5. If a straight... | |
| |
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. 
