 | Euclides - 1816 - 588 σελίδες
...PROP. X. .PROB. To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line ;, it is required to divide it into two equal parts. Describe11 upon it an equilateral triangle ABC, and bi- • 1. 1. *ectb the angle ACB... | |
 | John Bonnycastle - 1818 - 326 σελίδες
...It is required to divide a line, of 20 inches in length, into two such jiarts that the rectangle of the whole and one of the parts shall be equal to the square of the other. Ans. lOv/6-10 5. It is required to divide the number 60 into two such parts, that their product shall... | |
 | John Mason Good - 1819 - 800 σελίδες
...made up of the half and the part produced. Prop. XI. Prob. To divide a given straight lint into tu'o parts, so that the rectangle contained by the whole, and one of the parts, shall be equal tu the fquare of the other part. Prop. XII. Theor. In obtuse angled triangles, if a perpendicular be... | |
 | Miles Bland - 1819 - 442 σελίδες
...equal to a given square, and their rectangle equal to a given rectangle. 9. To divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square of a given line, which is less than the line to be divided. 10. To divide... | |
 | Daniel Cresswell - 1819 - 446 σελίδες
...such, that the rectangle contained by the whole line and one of its parts, shall have a given ratio to the square of the other part. Let AB be the given straight line : It is reA r, quired to divide it into two parts, such that the rectangle contained by AB and one of the parts... | |
 | John Playfair - 1819 - 350 σελίδες
...PROP. X. PROB. To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line ; it is required to divide it into two equal parts. Describe (1. 1.) upon it an equilateral triangle ABC, and bisect (9. 1.) the angle ACB... | |
 | Miles Bland - 1819 - 444 σελίδες
...DB are equal to the square of AB, ie to the given square. (9.) To divide a straight line into ttvo parts, so that the rectangle contained by the whole and one of the parts may be equal to the square of a given line, which is less than the line to be divided. L,etAB be the... | |
 | John Playfair - 1819 - 354 σελίδες
...X. PROB. To bisect a given finite straight line, that is, to divide it into two equal parts. Let.AB be the given straight line ; it is required to divide it into two equal parts. Describe (1. 1.) upon it an equilateral triangle ABC, and bisect (9. 1.) the angle ACB... | |
 | Daniel Cresswell - 1819 - 486 σελίδες
...manifest from this proposition, and from E. 1O. 4., that if the semi-diameter of a circle be divided into two parts, so that the rectangle contained by the whole and the lesser part may be equal to the square of the greater part, the greater segment shall be equal... | |
 | Euclid, Robert Simson - 1821 - 514 σελίδες
...into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. Let AB be the given...parts, so that the rectangle contained by the whole and dne of the parts shall be equal to the square of the other part. Upon AB describe (46. 1.) the square... | |
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AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. 
