 | John Bonnycastle - 1803 - 306 páginas
...AS, Bg, CD and DA. Q..ED PROP. XXII, PROBLEM. To divide a given right line into two parts, fo that the rectangle contained by the whole line and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given right line ; it is required to... | |
 | Robert Simson - 1804 - 530 páginas
...ftraight line, &c. Q^ED PROP. VIII. THE OR. IF a ftraight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the fquare of the other part, is equal to the fquare of the ftraight line which is made up of the whole... | |
 | John Playfair - 1806 - 320 páginas
...difference of the lines." ,, 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, are equal to the square of the straight line which is made up of the whole and the firstmentioned part.... | |
 | John Mason Good - 1813 - 714 páginas
...square of the other part. Prop. VIII. Theor. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and...line which is made up of the whole and that part. Prop. IX. Theor. If a straight line be divided into two equal, and also into two unequal parts; the... | |
 | Euclides - 1816 - 588 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... | |
 | Daniel Cresswell - 1817 - 454 páginas
...circle DPE. PROP. XXIV. 114. Problem. To divide a given finite straight line into two parts, such that the rectangle, contained by the whole line and one of the parts, shall most exceed the square of that part. Let AB be the given finite straight line ; it is required... | |
 | John Playfair - 1819 - 350 páginas
...lines." PROP. VIII. THEOR. If a straight line be divided into any two parts , four times the reftanglt contained by the whole line, and one of the parts,...the straight line which is made up of the whole and the first-mentioned part. Let the straight line AB be divided into any two parts in the point C ; four... | |
 | John Mason Good - 1819 - 800 páginas
...square of the other part. Prop. \ III. Theor. If a straight line be divided into any two parto, four times the rectangle contained by the whole line, and...is equal to the square of the straight line which il made up of the whole and that part. double of the square of half the line, »na of tfc square nf... | |
 | John Playfair - 1819 - 354 páginas
...difference of the lines." PROP. VIII. THEOR. If a straight line be divided into any two parts, fouf times the rectangle contained by the whole line, and...of the parts, together with the square of the other fart, is equal to the square of the straight line which is made up of the whole and the first-mentioned... | |
 | Daniel Cresswell - 1819 - 446 páginas
...VII. 9. THEORKM. If a straight line be divided into five equal parts,- the square of the ~vhok line is equal to the square of the straight line, which is made up of four of those parts, together with (he square of the straight line which is made up of three of those... | |
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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 of the whole and that... 
