| Robert Simson - Trigonometry - 1804
...together with the fquare of AC. Wherefore if a ftraight line, &c. Q^ED PROP. VIII. THE OR. IF a ftraight **line be divided into any two parts, four times the...whole line, and one of the parts, together with the** fquare of the other part, is equal to the fquare of the ftraight line which is made up of the whole... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...the rectangle contained by the lines together " with the square of the difference of the lines." ,, **PROP. VIII. THEOR. .• IF a straight line be divided...parts, together with the square of the other part,** are equal to the square of the straight line which is made up of the whole and the firstmentioned part.... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...twice the rectangle AB, BC, together with the square of AC. Wherefore, if a straight line, kc. QE D, **PROP. VIII. THEOR. IF a straight line be divided into any two parts,** tour times the rectangle contained by the whole line, and one of the parts, together with the square... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 436 pages
...circle DPE. PROP. XXIV. 114. Problem. To divide a given finite straight line into two parts, such that **the rectangle, contained by the whole line and one of the parts,** shall most exceed the square of that part. Let AB be the given finite straight line ; it is required... | |
| John Playfair - Circle-squaring - 1819 - 333 pages
...the rectangle 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 times the** reftanglt contained by the whole line, and one of the parts, together •with the square of the other... | |
| John Playfair - 1819 - 317 pages
...twioe the rectangle 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,** fouf times the rectangle contained by the whole line, and one of the parts, together with the square... | |
| Miles Bland - Euclid's Elements - 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 - Euclid's Elements - 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,... | |
| 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 - 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... | |
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