 | John Playfair - Circle-squaring - 1819 - 350 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,...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... | |
 | John Mason Good - 1819 - 800 pages
...the square of the other part. Prop. \ III. Theor. If a straight line be divided into any two parto, four times the rectangle contained by the whole line,...is equal to the square of the straight line which il made up of the whole and that part. double of the square of half the line, »na of tfc square nf... | |
 | John Playfair - 1819 - 354 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... | |
 | Daniel Cresswell - Geometry - 1819 - 446 pages
...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 of those... | |
 | 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,... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...square AC. Wherefore, if a straight line, &c. Q,. ED PROP. VIII. THEOR. f F a straight line be divided into any two parts, four times the rectangle contained...equal to the square of the straight line which is made tip of the whole and that part. j Let the straight line AB be divided into any two parts in the point... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 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 - 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 - 234 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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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... 
