 | Euclides - 1865 - 402 sider
...AC is double of the squares of AD and DE. 24. Divide a given straight line into two parts, snch that the squares of the whole line and of one of the parts shall be equal to twice the square of the other part. 25. In any triangle, if a line be drawn from... | |
 | Robert Potts - 1865 - 528 sider
...VII. THEOREM. lf a 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 tlie whole and that part, toaetlier with the square on the other part. Let the straight line AB be... | |
 | Euclid, Isaac Todhunter - 1867 - 426 sider
...7. THEOREM. If a 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...the whole and that part, together with, the square on the other part. Let the straight line AB be divided into any two parts at the point C ': the squares... | |
 | Edinburgh univ - 1868 - 334 sider
...between the same parallels are equal. 4. Prove Prop. 47, BI 5. If a straight line be divided into any two parts, the squares of the whole line and of one...equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. 6. If a straight line touch a circle,... | |
 | Woolwich roy. military acad - 1868 - 426 sider
...child go ? 11. If a 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...the whole and that part, together with the square on the other part. Where does Euclid afterwards use this proposition? 12. To inscribe a square in a... | |
 | Schools inquiry commission - 1868 - 532 sider
...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...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 of the two numbers... | |
 | 1868 - 344 sider
...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 by the whole...part, together with the square of the other part. 3. In an obtuse angled triangle, if a perpendicular be drawn from either of the acute angles to the... | |
 | Robert Potts - 1868 - 434 sider
...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...the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts in the point C. Then the... | |
 | Euclides - 1870 - 270 sider
...and 7952.4-2.5= 7949.9, the earth's diameter. PBOP. 7. — THEOB. If a st. line be divided into any two parts, the squares of the whole line and of one...contained by the whole and that part, together with a square of the other part. Cons.— 46. I., Pst. 1 and 31. I. DEM. — 43. I., AM. 2 and 6, Def. 30.... | |
 | Euclides - 1871 - 136 sider
...VII. THEOREM. If a 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...by the whole and that part together with the square on the other part. s Let AB be divided into any two parts in C. Then must sqq. on AB, BC— twice rect.... | |
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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... 
