| John Playfair - 1837 - 332 páginas
...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. Let the straight line AB be bisected in C, and produced to the point D... | |
| Euclid, James Thomson - 1837 - 410 páginas
...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. Let the straight line AB be bisected in C, and produced to D ; the rectangle... | |
| Andrew Bell, Robert Simson - 1837 - 290 páginas
...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. Let the straight line AB be bisected in C, and produced to the point D... | |
| Charles Reiner - 1837 - 254 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 - 1838 - 264 páginas
...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. Let the straight line AB be bisected in C, and produced to the point D... | |
| Euclides - 1840 - 82 páginas
...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 - 192 páginas
...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 - 378 páginas
...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. Let the straight line AB he bisected in C, and produced to the point D:... | |
| Euclides - 1842 - 316 páginas
...a 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...parts, together with the square of the other part, is** equivalent to the square of the straight line, which is made up of the whole and that part. ELEMENTS... | |
| John Playfair - 1842 - 332 páginas
...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. Let the straight line AB be bisected in C, and produced to the point D... | |
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