| Euclides - 1883 - 96 páginas
...Show that the straight line joining BD in the above figure passes through G. G K F PROP. 7. THEOR. **If a straight line be divided into any two parts, the squares** on the whole line and on one of the parts will be equal to twice the rectangle contained by the whole... | |
| Euclid, Isaac Todhunter - 1883 - 426 páginas
...rectangle AB, BC, is equal to the square on AB. Wherefore, if a straight line &c. QID PROPOSITION 3. **THEOREM. If a straight line be divided into any two parts, the** rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two... | |
| Joseph Hughes - 1883
...similar establishment. Euclid. MALES. {All generally understood abbreviations for rtwvu may be used.] I. **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... | |
| Stewart W. and co - 1884
...CMG is equal to the rectangle AD, DB : add to each LG which is equal to the square of CB ; therefore **the rectangle AD, DB, together with the square of CB, is equal to the** gnomon CMG, and the figure LG; but the gnomon CMG and LG make up the whole figure CEFD, which is the... | |
| F. B. Stevens - 1884 - 175 páginas
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 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... | |
| Great Britain. Education Department. Department of Science and Art - 1886 - 642 páginas
...number of linear feet in the perimeter; find the sides of the rectangle. (20.) Section B. 27. Show that **if a straight line be divided into any two parts, the squares** on the ivhole line and on one of the parts are equal to twice the rectangle contained by the whole... | |
| E. J. Brooksmith - 1889 - 354 páginas
...to AB to meet AD in H and BC in G; the triangles AGF, AEH&ce. together equal to the triangle ABC. 4. **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... | |
| Eldred John Brooksmith, Robert Moir Milne - 1890 - 144 páginas
...violate Euclid's sequence of propositions. Great importance will be attached to accuracy,^ 1. 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 together equal to twice the rectangle contained by the... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 páginas
...AB, BC (in sq. in. ) = pr, = (q + r)r, = area of reet. AC, CB + a re a ofsq. on CB . PROPOSITION 4. **THEOREM. If a straight line be divided into any two parts, the** square on the whole line is equal to the squares on the two parts, together with twice the rectangle... | |
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