 | Euclides - 1865 - 402 pagina’s
...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 to twice the 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... | |
 | Robert Potts - 1865 - 528 pagina’s
...is equal to the squares on the two parts, together with twice the reetanglt contained by the parts. Let the straight line AB be divided into any two parts in C. Then the square on AB shall be equal to the squares on AC, and CB, together with twice the rectangle... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pagina’s
...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...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... | |
 | Euclid, Isaac Todhunter - 1867 - 424 pagina’s
...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 : the squares on AB, BC shall be equal to twice the rectangle AB, BC, together with... | |
 | Schools inquiry commission - 1868 - 532 pagina’s
...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... | |
 | 1868 - 344 pagina’s
...line be divided into an; two parts, the squares of the whole line and one of the parti are together equal to twice the rectangle contained by the whole...part, together with the square of the other part. 3. In an obtuse angled triangle, if a perpendicular be drawn from either of the acute angles to the... | |
 | Woolwich roy. military acad - 1868 - 426 pagina’s
...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 contained...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... | |
 | Robert Potts - 1868 - 434 pagina’s
...If a straight line be divided into any two parts, the squares on the whole line, and on one of Uie parts, are equal to twice the rectangle contained...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... | |
 | Edinburgh univ - 1868 - 334 pagina’s
...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,... | |
 | Euclides, James Hamblin Smith - 1872 - 376 pagina’s
...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 contained...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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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... 
