 | 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 - 358 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... | |
 | Euclid, 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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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... 
