 | 1882 - 486 pagina’s
...of the squares on the whole line, and on one of the parts, is equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 7. Prove that equal chords of a circle are equally distant from the centre. 8. If a quadrilateral figure... | |
 | Richard Wormell - 1883 - 210 pagina’s
...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... | |
 | Joseph Hughes - 1883 - 568 pagina’s
...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. Produce a given line so that the rectangle of the whole line produced, and the original line shall... | |
 | Euclides - 1883 - 176 pagina’s
...the 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 on the other part. Let AB be divided into any two parts at C. A ' D To prove AB2 + CB2 = 2 rect. AB . BC + AC2. v AB2... | |
 | F. B. Stevens - 1884 - 202 pagina’s
...parts, the square 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. (LooMis AND LEGENDRE.) 1. If a straight line, meeting two other straight lines, makes the interior... | |
 | George Bruce Halsted - 1885 - 389 pagina’s
...+ &*. 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 +... | |
 | George Bruce Halsted - 1886 - 394 pagina’s
...2a(a + 6) + P = a(a + b)a + P, .-. (a + i>Y + a* = 2(0 + 6)a + 6*. Therefore 105 rectangle contained by the whole and that part, together with the square on the other part. 300. By the commutative and distributive laws, and 294, 4(a + t)a + 6* = 4** + yib + P = (20 + 6)*.... | |
 | Dalhousie University - 1887 - 206 pagina’s
...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. 5. Hence give a Geometrical proof of the algebraic proposition, a2 + 'r>2ai, a and b being unequal... | |
 | E. J. Brooksmith - 1889 - 356 pagina’s
...that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. If AB be divided in C so that the rectangle AB, BC is equal to the square on AC, and CD be taken equal to BC, shew that AC is divided... | |
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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... 
