 | Charles Hutton - Mathematics - 1811 - 406 pages
...rectangle AD . AB is equal to the sum of all the ether rectangles AjJ . AE, AD. EF, AD . FB. c^. ED Corol. If a right line be divided into any two parts ; the...the whole line, is equal to both the rectangles of die whole line and each of the parts. CB THEOREM XXXI. THE Square of the Sum of two Lines, is greater... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...the other rectangles AD . AE, AD . EF, AD FB q ED Corol If a right line be divided into any two pam ; the square on the whole line, is equal to both the...rectangles of the whole line and each of the parts. THEOREM XXXI. THE Square of the Sum of two Lines is greater than the Sum of their Squares, by Twice... | |
 | Euclides - 1821 - 294 pages
...suppose '8 and 6 are the given quantities : then 6 X 6 -f- 6 X 2 is = to 8 X 8 — 8 X 2. PROP. 4T THEQR. If a right line be divided into any two parts, the square of the whole line is equal to the sum of the squares of the parts and twice the rectangle under the... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...is equal to the .-11111 of all the other rectangles AD . AE, AD . EF, AD . FB. 4. c. D. E FB Carol. If a right line be divided into any two parts ; the...rectangles of the whole line and each of the parts. THEOREM XXXI. THE Square of the Sum of two Lines is greater than the Sum of their Squares, by Twice... | |
 | Charles Hutton - Mathematics - 1825 - 608 pages
...equal to the sum of ;tll the other «• •* * M rectangles AD . AE, AD . EF, AD . FB. «. ED Corol. If a right line be divided into any two parts ; the...rectangles of the whole line and each of the parts. • THEOREM XXXI. THE Square of the Sum of two Lines is greater that the Sum of their Squares, by Twice... | |
 | Charles Hutton - Mathematics - 1831 - 632 pages
...rectangle AD. AB is equal to the sum of all the other rectangles AD . AE, AD . EF, AD . FB. QED E FB Carol. If a right line be divided into any two parts, the square ou the whole line, is equal to both the rectangles of the whole line and each of the parts. THEOREM... | |
 | William Grier - Mechanical engineering - 1836 - 384 pages
...|— , to the , and AD and EF, and AD and FB: thus expressed, AD . AB = AD . AE + AD . EF + AD . FB.* If a right line be divided into any two parts, the square of the whole line, is equal to both the rectangles of the whole line and each of the parts. 30. Let... | |
 | George Darley - Euclid's Elements - 1836 - 172 pages
...together with the rectangle under DE and CB, that is, the rectangle under AC and CB. This, &c. ART. 92. If a right line be divided into any two parts, the square of the whole line is equal to the sum of the squares of the parts together with twice the rectangle... | |
 | William Grier - Mechanical engineering - 1842 - 320 pages
...rectangles of AD and AE, and AD and EF, and AD and FB: thus expressed, AD . AB=AD . AE +AD . EF+AD . FB.* If a right line be divided into any two parts, the square of the whole line, is equal to both the rectangles of the whole line and each of the parts. 30. Let... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...parallel. 6. Parallelograms on the same base and between the same parallels, are .equal to each other. 7. If a right line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained... | |
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If a straight line be divided into any two parts, the square on the whole line is... 
