 | 1882 - 676 σελίδες
...the triangle CNK equal to the triangle ARC, and the triangle BMF equal to the triangle ARB, &c.) 2. If a straight line be divided into any two parts,...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... | |
 | 1882 - 486 σελίδες
...them of the other ; the base of that which has the greater angle shall be greater than the other. 2. If a straight line be divided into any two parts, the squares on the whole line and on one of thepartsare equal to twice the rectanglecontained by the whole part, together with the squares on the... | |
 | Marianne Nops - 1882 - 278 σελίδες
...made up of the whole and that part. 4 (Rect. AB, BC) with sq. on AC = sq. on sum of AB, BC. II. 7. If a straight line be divided into any two parts, the squares on the whole line and one of the parts are equal to twice the rectangle contained by the whole and that part, together with... | |
 | College of preceptors - 1882 - 528 σελίδες
...equal to the rectangle contained by the two parts together with the square on the aforesaid part. 6. If a straight line be divided into any two parts, the squares on the whole line and one of the parts shall be equal to twice the rectangle contained by the two parts together with the... | |
 | 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,...squares on the whole line and on one of the parts will be equal to twice the rectangle contained by the whole and that part, together with the square... | |
 | Richard Wormell - 1883 - 210 σελίδες
...divided into any two parts, the square on the whole line and one of the parts is equal to four times the rectangle contained by the whole and that part, together with the square on the other part. Let AB be a straight line divided into two parts in С.. Л С В D IIII Let A В + B С be A D. Then... | |
 | 1883 - 654 σελίδες
...E ; show that OD = OE. 2. To divide a given straight line into two parts so that the difference of the squares on the whole line and on one of the parts may be equal to a given rectangle, which is not greater than the square on the whole line. 3. If a... | |
 | Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...is that which is half of the given square. 504. Divide a given straight line into two parts so that the squares on the whole line and on one of the parts may be together double of the square on the other part. 505. Two rectangles have equal areas and equal... | |
 | Joseph Hughes - 1883 - 568 σελίδες
...E ; show that OD = OE. 2. To divide a giren straight line into two parts so that the difference of the squares on the whole line and on one of the parts may be equal to a given rectangle, which is not greater than the square on the whole line. 3. If a... | |
 | 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,...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... | |
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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. Let the straight line AB be divided... 
