 | Euclid, Isaac Todhunter - 1883 - 428 páginas
...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 páginas
...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... | |
 | 1883 - 654 páginas
...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... | |
 | F. B. Stevens - 1884 - 202 páginas
...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...part, together with the square on the other part. (LEGEND KE.) 1. If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram.... | |
 | Palaestra Oxoniensis - 1884 - 204 páginas
...Prop. I. 7. If a straight line is divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle...by the whole and that part together with the square of the other part : where is this proposition employed ? 8. Derive Prop. 8 from Props. 4 and 7. 9.... | |
 | Stewart W. and co - 1884 - 272 páginas
...CD. VII. — 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...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 equal... | |
 | Woolwich roy. military acad - 1884 - 148 páginas
...AB to meet AD in .//and BC in G; the triangles AGF, AEH&K together equal to the triangle ABC. tained by the whole and that part, together with the square on the other part. If AB be divided in C so that the square on AC is double the square on CB, the sum of AB and CB will... | |
 | 1885 - 630 páginas
...its angles equal to a given rectilineal angle. Euclid, Book I., Prop. 44. 2. If a straight line be divided into any two parts, the squares on the whole...twice the rectangle contained by the whole and that pan, together with the square on the other. Euclid, Book II.,Prop. 7. 3. To find a point at a given... | |
 | George Bruce Halsted - 1885 - 389 páginas
...zab + b2 = 2a(a + &) + &*. By the commutative law, 2a(a + K) + <52 = 2(0 + £)a + &*, Therefore 105 rectangle contained by the whole and that part, together with the square on the other part. a> 300. By the commutative and distributive laws, and 294, 4(a + b)a -fb* = 4#2 + 40^ + b* = (2 a +... | |
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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. 
