 | Daniel Cresswell - 1819 - 446 sider
...VII. 9. THEORKM. If a straight line be divided into five equal parts,- the square of the ~vhok line is equal to the square of the straight line, which is made up of four of those parts, together with (he square of the straight line which is made up of three... | |
 | Miles Bland - 1819 - 444 sider
...square of AC, ie to the square of the given line. (10.) To divide a given line into two such parts that the rectangle contained by the whole line and one of the parts may be (m) times the square of the other part, m being whole or fractional. Let AB be the given line,... | |
 | Peter Nicholson - 1825 - 1046 sider
...with the square ot AC. Wherefore, if a straight line, &c. QED | ¿J J'rojjosiiion VIII. Theorem. If a straight line be divided into any two parts, four...to the square of the straight line, which is made up of the whole and that part. Let the straight line AB be divided into any two parts in the poin С... | |
 | Euclides - 1826 - 226 sider
...THEOREM. I/* a rig A/ /ѓие iе аиу how ait into two parts, four times the rectangle, contained under the whole line, and one of the parts, together with...square of the other part, is equal to the square of the line, compounded of the whole line, and the first part taken as one line. Let the right line AB be... | |
 | Euclid - 1826 - 234 sider
...THEOREM. If a right line be any how ait into two parts, four times tlie rectangle, contained under (he whole line, and one of the parts, together with the...square of the other part, is equal to the square of the line, compounded of the whole line, and the first part taken as one line. Let the right line AB be... | |
 | Henry Parr Hamilton - 1826 - 354 sider
...solutions. For example, if it be required to divide a given straight line into two such parts, that the rectangle contained by the whole line and one of the parts, shall be equal to the square of the other part; this problem is determinate. If on the other hand,... | |
 | Euclid, John Playfair - 1826 - 326 sider
...line be divided into any two parts, four times the reetangle eontained by the whole line, arid ohtt of the parts, together with the square of the other part> iS H equal to the square of the straight line whieh is made up of the whole and the first-mentioned part.... | |
 | Robert Simson - 1827 - 546 sider
...the square of AC. Wherefore if a straight line, 8cc. QED G PROP. VIII. THEOR. If a straight line he divided into any two parts, four times the rectangle...equal to the square of the straight line which is made up of the whole and that part. Let the straight line AB be divided into any two parts in the point... | |
 | John Playfair - 1829 - 210 sider
...together equal to the square of the whole line. ..If a straight 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 foresaid part.... | |
 | John Playfair - 1832 - 358 sider
...contained by the lines together with the " square of the difference of the lines. PROP. VIII. THEOR. If a straight line be divided into any two parts, four...rectangle contained by the whole line, and one of I he parts? together with thesquare of the other part, is equal to the square of the straight line... | |
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If a straight line be divided into any two parts, four times the rectangle contained by the whole 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 up of the whole and that... 
