| University of Oxford - Education, Higher - 1863 - 328 pages
...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...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 length,... | |
| Euclides - 1863 - 122 pages
...whole line (AB), and of one of the parts (BC) are equal to twice the rectangle (AB, BC) contained bg the whole and that part, together with the square of the other part (AC). Upon AB describe the square AE (I. 46) and join BD. Through through G draw HGK parallel to AB... | |
| Woolwich roy. military acad - 1864 - 588 pages
...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 pages
...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...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 the... | |
| Euclides - 1864 - 262 pages
...the whole and each of the parts, are together equal to the square on the whole line. Ioint C. conLet the straight line AB be divided into any two parts in the poi: Then the rectangle contained by AB, BC, together with that tained by AH, AC, shall be equal to... | |
| Euclides - 1865 - 402 pages
...&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 - Education - 1866 - 336 pages
...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...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 pages
...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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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...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 ': the squares... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...VII. THEOREM. If a straight line be dirided into any two parts, the squaret on the whole line and on one of the parts are equal to twice the rectangle...by the whole and that part together with the square on the other part. l» TM Let AB be divided into any two parts in C. Then imist *qq. on AB, BC= twice... | |
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