 | Euclides - 1864 - 448 pages
...squares shall be equal to a given square. 13. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts shall be equal to twice the square on the other part. 14. Any rectangle is the half of the rectangle... | |
 | Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...proposition in the case of a triangle whose sides are 3, 4, and 5 units respectively. 5. Prove that if a straight line be divided into any two parts,...squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the... | |
 | Euclides - 1865 - 402 pages
...equal to the square of the straight line which is made up of the half and the part prodnced. Prop. 7 If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole... | |
 | Robert Potts - 1865 - 528 pages
...squares shall be equal to a given square. 15. Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts, shall be equal to twice the square on the other part. }6. Any rectangle is the half of the rectangle... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...is that which is half of the given square. 504. Divide a given straight line into two parts so that the squares on the whole line and on one of the parts may be together double of the square on the other part. 505. Two rectangles have equal areas and equal... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...is that which is half of the given square. 504. Divide a given straight line into two parts so that the squares on the whole line and on one of the parts jnay be together double of the square on the other part. 505. Two rectangles have equal areas and equal... | |
 | Woolwich roy. military acad - 1868 - 426 pages
...straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole...part, together with the square on the other part. Where does Euclid afterwards use this proposition? 12. To inscribe a square in a given circle. 13.... | |
 | Robert Potts - 1868 - 434 pages
...CB, is equal to the square on CD. Wherefore, if a straight line, &c. QED PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of Uie parts, are equal to twice the rectangle contained by the whole and that part, together with the... | |
 | 1868 - 344 pages
...If a straight line be divided into an; two parts, the squares of the whole line and one of the parti are together equal to twice the rectangle contained...the whole and that part, together with the square of the other part. 3. In an obtuse angled triangle, if a perpendicular be drawn from either of the... | |
 | Schools inquiry commission - Education - 1868 - 532 pages
...line be divided into any two parts : then the squares of the whole line and one of the parts shall be equal to twice the rectangle contained by the whole and that part together with the square of the other part. 4. The square of the difference of two numbers is equal to the sum of the squares... | |
| |
If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... 
