| William Walton, Charles Frederick Mackenzie - Mathematics - 1854 - 266 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... | |
| John Playfair - Geometry - 1855 - 336 pages
...derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. If a straight line lie **divided into any two parts, four times the rectangle...line, and one of the parts, together with the square** of the other part, is equal to the square of the straight line which is made vp of the whole and thefirst-mentioned... | |
| Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...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 of the 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... | |
| Euclides - 1855 - 262 pages
...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 - 252 pages
...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 - 134 pages
...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... | |
| W. Davis Haskoll - Civil engineering - 1858 - 422 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 - 248 pages
...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.... | |
| War office - 1858 - 578 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.,... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...line thus produced and the part of it produced, together with the square on half the line bisected, **is equal to the square on the straight line which is made up of the** half and the part produced. 4. In a circle the angle in a semicircle is a right angle'. ALGEBRA. 1.... | |
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