 | Civil service - 366 pages
...a straight lice 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. PROP. IX. — If a straight line be divided into two equal, and also into two nnequal parts ; the squares... | |
 | Euclides - 1860 - 288 pages
...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 pages
...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 pages
...straight line be divided into any two parts; then the square of the whole line is equal to the squares of the two parts, 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 - Education, Higher - 1863 - 316 pages
...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. 9. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle... | |
 | Euclides - 1864 - 262 pages
...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. Let the straight line AB be divided into any two parts in C. Then the square on AB shall be equal to the squares... | |
 | Henry White - 1864 - 156 pages
...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. 5. Divide a given straight line into two parts, so that the rectangle contained by the whole and one... | |
 | University of Calcutta - 1864 - 388 pages
...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 pages
...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. Cor. The parallelograms about the diameter of a square are likewise squares. Prop. 5. If a straight... | |
 | Edinburgh univ - 1868 - 336 pages
...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. 4. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer... | |
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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. 
