| Andrew Bell - 1837 - 240 páginas
...square of AC. PROPOSITION VIII. THEOREM. 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... | |
| Charles Reiner - 1837 - 215 páginas
...a c. M.—Express this truth in words. P.—If a straight line be divided into any two parts, twice **the rectangle contained by the whole line and one of the parts** is equal to twice the square upon that part, together with twice the rectangle contained by the parts.... | |
| Euclides - 1837 - 88 páginas
...+ AC*. CBD PROPOSITION VIII. Theorem. 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 line made up of the whole... | |
| Euclides - 1838
...line, &c. t>. i:. i,. * PROP. VIII. THEOR. If a straight line be dieided 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... | |
| John D. Williams - 1840 - 605 páginas
...required to divide a line of 20 inches in length, into two such parts that the rectangle of the whple **and one- of the parts shall be equal to the square of the other.** Let one part — x ; then the other will be 20 — x. And by the question 20(20 — х)=з?, or ^+20^=400... | |
| Euclides - 1840
...half and the produced part. .n. . PROP. XI. PROB. To divide a given straight line in such a manner **that the rectangle contained by the whole line and one of the parts** may be equal to the square of the other part. rtl PROP. XII. THEOR. In an obtuse-angled triangle, the... | |
| Euclides - 1840
...the half and the produced part. PROP. XI. PROB. To divide a given straight line (AB) in such a manner **that the rectangle contained by the whole line and one of the parts** may be equal to the square of the other part. Upon AB construct the square ACDB ; bisect AC in E ;... | |
| Euclides - 1841 - 351 páginas
...straight line, &c. QED PROP. VIII. THEOR. Iff 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... | |
| Euclides - 1842
...straight line, &c. QED PROP. VIII. THEOR. 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 equivalent to the square of the straight line, which... | |
| John Playfair - 1842 - 317 páginas
...equality, by transposition. PROP. VIII. THEOR. 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... | |
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