 | Euclides - 1883 - 176 σελίδες
...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 - 428 σελίδες
...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 - 568 σελίδες
...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 - 272 σελίδες
...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 - 202 σελίδες
...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 - 640 σελίδες
...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 - 356 σελίδες
...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... | |
 | Royal Military College, Sandhurst - 1890 - 144 σελίδες
...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 - 538 σελίδες
...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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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. 
