| Euclides - 1862 - 140 pages
...on AC. Conclusion. — Therefore, if a straight line, &o. QED PROPOSITION 8. -THEOREM. If a straight **line be divided into Any two parts, four times the...line and one of the parts, together with the square** on the other part, is equal to the square on the straight line which is made up of the whole line and... | |
| Euclides - 1862 - 172 pages
...QED PROP. VIII.— THEOREM. If a straight line be divided into any two parts ; 68 THE SCHOOL EUCLID. **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 part. (References — Prop. i. 3, 31, 34, 36,... | |
| Euclides - 1863 - 122 pages
...straight line (AB) be divided into ang two parts (at C), Jour times the rectangle (AB, BC) contained bg **the whole line, and one of the parts, together with the square of the other part** (AC), is equal to the square of the straigh t line (AD), which is made up of the whole andthalpart... | |
| Euclides - 1864 - 448 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. c KD Upon AB describe the square A CSB; (i. 46.) bisect... | |
| 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
...straight line, &c, QED PROP. VIII.— THEOREM. If a straight line be divided into any two parts ; then **four times the rectangle contained by the whole line, and one of the parts, together with the square** uf 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
...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 part, is equal to the square on the straight line, which is made up of the whole and that... | |
| 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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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
...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... | |
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