| William Walton, Charles Frederick Mackenzie - Mathematics - 1854 - 225 pages
...parallelograms is equal to twice the triangle BSD. 2. Divide a given straight line into two parts so that **the rectangle contained by the whole line and one of the parts** shall be equal to the square of the other part. Produce a given straight line to a point such that... | |
| Cambridge univ, exam. papers - 1854
...parallelograms GF, EH is equal to twice the triangle KBD. 2. Divide a given straight line into two parts so that **the rectangle contained by the whole line and one of the parts** shall be equal to the square of the other part. Produce a given straight line to a point such that... | |
| Great Britain. Committee on Education - School buildings - 1855
...into any two parts, the squares of the whole line and of one of the parts are together equal to twice **the rectangle contained by the whole line and one...parts, together with the square of the other part.** 5. To construct a square equal to a given rectangle. 6. If a straight line passing through the centre... | |
| Euclides - 1855
...their differesse, together with four times the rectangle contained by them. PROP. Till. THEOREM. У **a straight line be divided into any two parts, four times the rectangle** con'ained by the whole line, and one of the parís, together with the square of the other part, is... | |
| Cambridge univ, exam. papers - 1856
...upon the sides which contain the right angle. 6. If a straight line be divided into anу two parts, **the rectangle contained by the whole line and one of the parts** is equal to the rectangle contained by the two parts together with the square of the aforesaid part.... | |
| Euclides - 1858
...the reetuinjle moler the ,SKW. BOOK II. 97 PROP. VIII. THEOR. If a si. line be divided into any tico **parts, four times the rectangle contained by 'the whole line and one of** tlie parti together with the square of the other part, is equal to the square of the st.i line which... | |
| War office - 1858 - 12 pages
...rectangles contained by the parts become ? 4. Divide a given straight line into two parts, so that **the rectangle contained by the whole line and one of the parts** shall be equal to the square of the other part. NATURAL SCIENCES. By MAJOR-GEN. PORTLOCK, RE, LL.D.,... | |
| W. Davis Haskoll - Civil engineering - 1858 - 324 pages
...equal to the rectangle contained by the two parts, together with the square of the aforesaid part. **If a straight line be divided into any two parts, four times** tho rectangle contained by the whole line, and one of the parts, together with the square of the other... | |
| Euclides - 1858
...the figures ; hence the use of k. PROP. 3. — THEOR. If a st. line be divided into any two parts, **the rectangle contained by the whole line and one of the parts,** is equal to the rectangle contained by the two parts together with the square of the aforesaid part.... | |
| Euclides - 1860
...to the squares on AB and BC, diminished by twice the rectangle AB • BC. PROPOSmON VIII. THEOREM. **If a straight line be divided into any two parts,...line, and one of the parts, together with the square** on the other part, is equal to the square on the straight line which is made up of the whole and the... | |
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