| War office - 1861 - 12 páginas
...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 that part together with the** square on the other part. 4. When are circles said to touch one another ? One circle cannot touch another... | |
| Euclides - 1862
...-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 the rectangle...contained by the whole and that part, together with the** square on the other part. (References— Prop. I. 31, 34, 43, 46; II. 4, cor.) Hypothesis. — Lst... | |
| Euclides - 1862
...&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... | |
| 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...contained by 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.... | |
| 1864
...terms in the expansion of (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...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... | |
| Robert Potts - 1864
...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 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... | |
| Alexander Kennedy Isbister - 1865
...&c. QE Du PROP. VII.— THEOREM. If a straight line be divided into any two parts ; then the squares **of the whole line and of one of the parts, are equal...rectangle contained by the whole and that part, together** wifh the square of the other part. (References — Prop. I. 31, 34, 43, 46 ; II. 4. Cor.) Let the straight... | |
| 1866
...Prove that 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 that part, together with the** square on the other part. Give Euclid's demonstration of this proposition ; also, prove it algebraically.... | |
| Euclid, Isaac Todhunter - 1867 - 400 páginas
...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...contained by 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 ':... | |
| frank smith - 1868
...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 of the parts are 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,... | |
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