| Miles Bland - Geometry - 1819 - 377 pages
...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,... | |
| Miles Bland - Geometry - 1819 - 377 pages
...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 - Mathematics - 1825 - 372 pages
...line thus produced, and the part of it produced, together with the square of half the line bisected, **is equal to the square of the straight line which is made up of the** half and the part produced. Let the straight line AB be bisected in C, and produced to the point D... | |
| Euclides - 1826
...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, Phillips - 1826 - 180 pages
...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 - Geometry, Analytic - 1826 - 326 pages
...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 - Euclid's Elements - 1826 - 320 pages
...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 - Trigonometry - 1827 - 513 pages
...line thus produced, and the part of it produced, together with the square of half the line bisected, **is equal to the square of the straight line which is made up of the** half and the part produced. Let the straight line AB be bisected in C, and produced to the point D... | |
| John Playfair - Mathematics - 1829 - 186 pages
...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 - Euclid's Elements - 1832 - 333 pages
...four times the 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 which is made up of the whole and** the first mentioned part. Let the straight, line AB be divided into any two parts in the point C;four... | |
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