 | Woolwich roy. military acad - 1864 - 588 pagine
...of n letters a, b, c, and their powers. Find the number of terms in the expansion of (a+b+c+d)\ 9. If a straight line be divided into any two parts,...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 pagine
...CB, is equal to the square on CD. 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... | |
 | Euclides - 1865 - 402 pagine
...AC is double of the squares of AD and DE. 24. Divide a given straight line into two parts, snch that the squares of the whole line and of one of the parts shall be equal to twice the square of the other part. 25. In any triangle, if a line be drawn from... | |
 | Queensland. Department of Public Instruction - 1866 - 336 pagine
...proposition in the case of a triangle whose sides are 3, 4, and 5 units respectively. 5. 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... | |
 | Robert Potts - 1865 - 528 pagine
...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... | |
 | John Playfair - 1855 - 350 pagine
...the equality, we shall have : b(2a+b)+a*=(a+b)z. PROP. VII. THEOR. If a straight line be divided into two parts, the squares of the whole line, and of one...together with the square of the other part. Let the straight line AB be divided into any two parts in the point 0 ; the squares of AB, BC, are equal to... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pagine
...on CB, is equal to the square on CD. Wherefore, if a straight line &c. QED PUO POSITION 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... | |
 | Edinburgh univ - 1868 - 336 pagine
...Parallelograms upon equal bases and between the same parallels are equal. 4. Prove Prop. 47, BI 5. If a straight line be divided into any two parts,...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,... | |
 | Woolwich roy. military acad - 1868 - 426 pagine
...child go ? 11. 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...the whole and that part, together with the square on the other part. Where does Euclid afterwards use this proposition? 12. To inscribe a square in a... | |
 | Schools inquiry commission - 1868 - 532 pagine
...line be divided into any two parts : then the squares of the whole line and one of the parts shall be equal to twice the rectangle contained by the whole...that part together with the square of the other part. 4. The square of the difference of two numbers is equal to the sum of the squares of the two numbers... | |
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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... 
