 | War office - 1861 - 714 sider
...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 - 140 sider
...-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 - 172 sider
...&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 - 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...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.... | |
 | University of Oxford - 1863 - 316 sider
...another. 6. 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. 7. Draw a straight line perpendicular to a given straight line of an unlimited... | |
 | Woolwich roy. military acad - 1864 - 588 sider
...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... | |
 | Euclides - 1864 - 448 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...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... | |
 | Euclides - 1865 - 402 sider
...&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... | |
 | Queensland. Department of Public Instruction - 1866 - 336 sider
...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.... | |
 | 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... | |
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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... 
