 | Euclides - 1858 - 136 sider
...and the limit of vision is 154*4 miles ; required the earth's diameter. PROP. VII. THEOR. If a st. line be divided into any two parts, the squares of...that part, together with the square of the other part CON. 46. I, Pst. 1. 31. I, DEM. 43. I, Ax. 2. 6, Def. 30. I, Cor. 4. II, Ax. H. 34. I. EXP. Соя.... | |
 | Euclides - 1858 - 248 sider
...square equal to the difference of two given squares. 3. To divide a given line into two parts, such that the squares of the whole line and of one of the parts shall be equal to twice the square of the other part. 4. To divide a given line into two such parts... | |
 | Sandhurst roy. military coll - 1859 - 672 sider
...were 5 times the number of Scotch. How many were there of each nation in the regiment ? Euclid. 1. If a straight line be divided into any two parts,...that part together with the square of the other part. VOLUNTARY PORTION. 1. If two straight lines meeting one another be parallel to two others that meet... | |
 | 1859 - 414 sider
...and CQ ; D the middle point of AB, show that for all positions of AB the distance CD is the'same. 6. If a straight line be divided into any two parts the...line and of one of the parts, are equal to twice the PA. C rectangle contained by the whole and that part, together with the square of the other part, 7.... | |
 | Royal college of surgeons of England - 1860 - 332 sider
...angles. 5. Parallelograms upon equal bases and between the same parallels are equal to one another. 6. If a straight line be divided into any two parts, the squares on the whole line and one of the parts are equal to twice the rectangle contained by the whole and... | |
 | Euclides - 1860 - 288 sider
...unequal segments is equal to the difference between the squares on half the line and the mean distance. 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 contained by the whole... | |
 | Robert Potts - 1860 - 380 sider
...CB, is equal to the square on QD. 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 the parts, are equal to twice the rectangle contained by the whole... | |
 | Woolwich roy. military acad - 1861 - 572 sider
...expect to find the " differences " largest at the early part of the table and gradually decreasing. 14. 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 contained by the whole and... | |
 | War office - 1861 - 714 sider
...to it. 2. Triangles upon the same base, and between the same parallels, are equal to one another. 3. 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 contained by the whole and... | |
 | Euclides - 1862 - 172 sider
...straight line, &c. QED PROP. VII.— THEOREM. If a straight line be divided into any two parts ; tlien the squares of the whole line and of one of the parts, are equal to twice tjie rectangle contained by the whole and that part, together wM the square of the other part. (References... | |
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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... 
