| Cowley Oxon, dioc. school - 1860
...described on the other two sides of it,the angle contained by these two sides is a right angle. 8. **If a straight line be divided into any two parts,...contained by the two parts, together with the square** of the aforesaid part. 9. If a straight line be divided into two equal parts, and also into two unequal... | |
| Euclid
...construction of this triangle depends upon u. n, or the problem of dividing a straight line so that **the rectangle contained by the whole and one of the parts is equal to the** square on the other part. This problem of course appears again in Eucl. vi. 30 as the problem of cutting... | |
| Brian Lasater - 2008 - 600 páginas
...is a variation on (a + b)(a - b) = a2 -- b2. Theorem 7 (II, 11) To cut a given straight line so that **the rectangle contained by the whole and one of the parts is equal to the** square of the other. Let the given line be AB. The problem is to find a point H on it so that AB x... | |
| Education Department - 1879
...together greater than the triangle ABD. 12. To find a mean proportional between two given straight lines. **If a straight line be divided into any two parts, the rectangle contained by the** two parts is greatest, when the parts are equal. i:j. Show that a regular hexagon ABCDEF inscribed... | |
| Great Britain. Parliament. House of Commons - 1861
...perpendicular let fall upon it from the opposite angle and the angle aforesaid. 7. If a straight lino **be divided into any two parts the rectangle contained by the whole** line and one of the parts together with the square of the other part is equal to the rectangle contained... | |
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