 | John Playfair - 1855 - 350 sider
...may be also derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. • If a straight line be divided into any two parts, four times the rectangle cnntained by the whole line, and one of the parts, together with the square of the other part, is equal... | |
 | General Medical Council (Great Britain) - 1866 - 496 sider
...line thus produced .and the part of it produeed, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the hnlf and the part produced. 4. If two circles touch each other externally, the straight lino... | |
 | Civil service - 1866 - 270 sider
...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. 4. The diameter is the greatest straight line in a circle ; and,... | |
 | Euclid, Isaac Todhunter - 1867 - 426 sider
...straight line &c. QED B t> PROPOSITION 8. THEOREM. If a straight line be divided into any two parti, four times the rectangle contained by the whole line and one of the parts, together with the square en the other part, is equal to the square on the straight line which is made up of the whole and that... | |
 | Euclid, Isaac Todhunter - 1867 - 424 sider
...together with the square on AC. Wherefore, if a straight line &c. QED A PROPOSITION 8. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained l)ij the whole line and one of the parts, together with the square en the other part, is equal to the... | |
 | Robert Potts - 1868 - 434 sider
...together with the square on AC. Wherefore, if a straight line, &c. QED PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, mid one of the parts, together with the square un the other part, is equal to the square on tlte straight... | |
 | 1868 - 876 sider
...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. 25 5. Divide a given straight line into two parts, so that the... | |
 | Woolwich roy. military acad - 1868 - 426 sider
...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 part produced. AB is a straight line bisected in C, divided unequally in D and produced... | |
 | James Maurice Wilson - 1869 - 260 sider
...by addition that AB* + BC* = 2AD* + 2DB*. Ex. 3. To divide a straight line into two parts such that the rectangle contained by the whole line and one of the parts is equal to the square of the other part. Let AB be the given line. Construction. Draw a square ACDB... | |
 | Euclides - 1870 - 270 sider
...arithmetical progression; as 324, 1G4, and 4, — the com. dif. being 160. PROP. 8. — THEOR. If a st. line be divided into any two parts, four times the...together with the square of the other part, is equal to tlie square of the st. line which is made up of the whole and that part. Coxs. — Pst. 2. A terminated... | |
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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... 
