| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...lines." PROP. VIII. THEOR. If a straight line be divided into any two parts , four times the reftanglt **contained by the whole line, and one of the parts,...square 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... | |
| John Playfair - 1819 - 317 pages
...difference of the lines." PROP. VIII. THEOR. If a straight line be divided into any two parts, fouf **times the rectangle contained by the whole line, and...of the parts, together with the square of the other** fart, is equal to the square of the straight line which is made up of the whole and the first-mentioned... | |
| Miles Bland - Euclid's Elements - 1819 - 442 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 - Euclid's Elements - 1819 - 444 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
...square ot AC. Wherefore, if a straight line, &c. QED | żJ J'rojjosiiion VIII. Theorem. If a straight **line be divided into any two parts, four times the...square of the other part, is 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... | |
| Euclides - 1826 - 226 pages
...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 - 236 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 - 326 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
...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...square of the other part, is 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... | |
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