| Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...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 ':... | |
| Edinburgh univ - 1868 - 336 σελίδες
...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,... | |
| Robert Potts - 1868 - 434 σελίδες
...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 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... | |
| Schools inquiry commission - 1868 - 532 σελίδες
...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 and 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... | |
| 1868 - 344 σελίδες
...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 and that part, together with the square of the other part. 3. In an obtuse angled triangle, if a perpendicular be drawn from either... | |
| Euclides - 1870 - 270 σελίδες
...the earth's diameter. PBOP. 7. — THEOB. If a st. line be divided into any two parts, the squares of the whole line and of one of the parts are equal...contained by the whole and that part, together with a square of the other part. Cons.— 46. I., Pst. 1 and 31. I. DEM. — 43. I., AM. 2 and 6, Def. 30.... | |
| Euclides - 1871 - 136 σελίδες
...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. s Let AB be divided into any two parts in C. Then must sqq. on AB, BC—... | |
| Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...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...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,... | |
| Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...line be divided into any two parts, the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the whole and that part together with the square on the other part. The propositions required for the construction and proof in this proposition... | |
| Henry Major - 1873 - 588 σελίδες
...the square of CD. VII. — If a straight line he divided into any two part*, the squares of the wJwle line, and of one of the parts, are equal to twice...contained by the whole and that part, together with the square of the other part. Let AB be divided into any two parts in C. Then the squares of AB, BC, are... | |
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