| Euclides - 1864 - 262 pages
...other part. Let AB be the given straight line. It is required to divide AB into two parts, so that **the rectangle contained by the whole line and one of the parts,** shall be equal to the square on the other part. FG OKD Upon AB describe the square A CDB; (l. 46.)... | |
| Euclides - 1865 - 402 pages
...rectangle contained by the whole and that part, together with the square of the other part. Prop. 8. **If a straight line be divided into any two parts,...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... | |
| Robert Potts - 1865 - 528 pages
...together with the square on AC. Wherefore, if a straight lino, &c. QED PROPOSITION VIII. THEOREM. lf **a straight line be divided into any two parts, four times the** reef angle contained by the whole line, and one of the parts, together with the square on the other... | |
| John Playfair - Geometry - 1855 - 350 pages
...This 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... | |
| Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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... | |
| 1867 - 224 pages
...line thus produced, and the part of it produced, together with the square on half the line bisected, **is equal to the square on the straight line which is made up of the** half and the part produced. Homer, Od. I— XII. Translate, with comments where necessary : — Tw... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...BC, 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 pages
...BC, 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... | |
| Woolwich roy. military acad - 1868 - 426 pages
...line thus produced and the part of it produced, together with the square on half the line bisected, **is equal to the square on the straight line which is made up of the** half and the part produced. 11. To describe a rectilineal figure which shall be similar to one given... | |
| James Maurice Wilson - 1869 - 260 pages
...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... | |
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