 | John Mason, Alan Graham, Sue Johnston-Wilder - Business & Economics - 2005 - 342 pages
...ll Prop 4 if a straight line is divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the two parts. Euclid Book ll Prop 5 if a straight line is divided equally and also unequally, the rectangle contained... | |
 | 480 pages
...stated that, if a straight line is divided into two parts, the square on the whole line is equal to the sum of the squares on the two parts together with...think of the question thus : — Suppose that a and 6 are the measures of the two parts. Now by algebra (a + b)3 = a2 + 62 + 2a6. And (a + by is the measure... | |
 | University of Bombay - 1904 - 1174 pages
...area. 3. If a straight line is divided into any two parts, the square on the 14 whole line is equal to the sum of the squares on the two parts, together...with twice the rectangle contained by the two parts. In the triangle ABC, AD is drawn perpendicular to BC ; if the rectangle BD, DC be equal to the square... | |
 | James McMahon - 2018 - 244 pages
...Ex. 1O93. If a straight line is divided Into any two parts, the square on the whole line Is equal to the sum of the squares on the two parts together with twice the rectangle contained by the two parts. (Draw a figure.) Ex. 1O94. What algebraical identity is suggested /\ by fig. 202? (Take AO = OB=a,... | |
 | Euclid - 1845 - 336 pages
...PROP. 2. If a straight line be divided into any two parts, the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the two parts. Let AB be a straight line divided into any two parts at the point C; to prove that sq. on AB = sq.... | |
 | 130 pages
...PROP. 2. If a straight line be divided into any two parts the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the two parts. DG Let AB be a straight line divided into any two parts at the point C ; to prove that sq. on AB =... | |
 | 1879 - 636 pages
...be done.} 6. If a straight line be divided into two parts the square on the whole line is equal to the sum of the squares on the two parts together with twice the rectangle contained by them. 7. AB is a straight line, C its middle point, D any point in CB ; prove that the sum of the squares... | |
 | Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...angles. 3. 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 contained by the two parts. 4. If two circles touch one another internally, the straight line which joins their centres, being... | |
 | Wales univ, univ. coll. of Wales - 1878 - 188 pages
...angle. 5. 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 contained by the two parts. 6. Describe a square that shall be equal to a given rectilineal figure. 7. Prove that one circle cannot... | |
 | 1874 - 748 pages
...parallel. 3. 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 contained by the parts. 4. If two circles touch one another internally they shall not have the same centre. 5. A segment... | |
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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 contained by the two parts. 
