| Royal college of surgeons of England - 1860
...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 - 361 páginas
...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 - 12 páginas
...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
...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
...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
...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
...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
...(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
...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
...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... | |
| |