 | Royal college of surgeons of England - 1860 - 332 sider
...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 that part together with... | |
 | Robert Potts - 1860 - 380 sider
...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... | |
 | War office - 1861 - 714 sider
...minority of 18. How many votes were recorded for each candidate ? EUCLID. 1. If a straight line be divided into any two parts, the squares on the whole...part, together with the square on the other part. 2. When are circles said to touch one another ? If two circles touch each other externally, the straight... | |
 | Woolwich roy. military acad - 1861 - 572 sider
...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...by the whole and that part together with the square of the other part. Enunciate any subsequent proposition of Euclid in which this result is employed.... | |
 | Euclides - 1862 - 140 sider
...PROPOSITION 7. -THEOREM. If a straight line be divided into any two parts, the squares on the wlutle line) and on one of the parts, are equal to twice...part, together with the square on the other part. (References— Prop. I. 31, 34, 43, 46; II. 4, cor.) Hypothesis. — Lst the straight line AB be divided... | |
 | 1863 - 300 sider
...Proposition 7, Theorem ; It a straight line be divided into any two parts the squares of the whole line, and one of the parts, are equal to twice the rectangle...the whole and that part, together with the square of the other part : Prove this by Euclid's demonstration, and also (if there be time) algebraically.... | |
 | University of Oxford - 1863 - 316 sider
...by the parts. 8. If a straight line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle...the whole and that part, together with the square of the other part. 9. If a straight line be bisected and produced to any point, the square of the whole... | |
 | Woolwich roy. military acad - 1864 - 588 sider
...(a+b+c+d)\ 9. 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 pan, together with the square of the other part. Prove that the area of any right-angled triangle is... | |
 | Euclides - 1864 - 262 sider
...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... | |
 | Euclides - 1864 - 448 sider
...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... | |
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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. 
