 | Colin MacLaurin - 1779 - 610 sider
...like manner it is demon* ftrated, that having given the angle АРМ, if the right lines АР, РМ, cut a geometrical line of any order in as many points as it has dimenfions, that the product of the fegments of the iirH , terminated by P and the curve, will always be to the produdt... | |
 | Colin MacLaurin - 1796 - 556 sider
...coefficient f to unity. In like manner it is demonftrated, that having given the angle АРМ, if the right lines AP, , PM, cut a geometrical line of any order...terminated by P and the curve, will always be to the produit of the fegments of the latter, terminated by the fame* point and the curve, in an ;.;vai liable... | |
 | Charles Hutton - 1811 - 424 sider
...itself, and be contained within certain limits. 39. If the right lines AP, PM, forming a given angle APM, cut a geometrical line of any order in as many points as it has dimensions, the product of the segments of the first terminated by P and the curve, will always be... | |
 | Charles Hutton - 1812 - 624 sider
...and be contained within certain limits. 39. If the right lines AP, PM, forming a given angle AP.VT, cut a geometrical line of any order in as many points as it lias dimensions, the product of the segments of the first terminated by p and the curve, will always... | |
 | Charles Hutton - 1816 - 618 sider
...and be contained within certain limits. 39 If the right lines AP, >-M. forming a given angle, A PK cut a geometrical line of any order in as many points as it has dimensions, the product of the segments of the first terminated by p and the curve, will always be... | |
 | Yves Hellegouarch - 2001 - 395 sider
...coefficient/ to unity. In like manner it is demonstrated, that having given the angle APM, if the right lines AP, PM, cut a geometrical line of any order in as many points as it has dimensions, the product of the segments of the first, terminated by P and the curve, will always be... | |
 | Yves Hellegouarch - 2001 - 395 sider
...the reciprocal of x, and 1/y of y. Theorem I Let any right line, drawn through a given point, meet a geometrical line of any order in as many points as it has dimensions; and let right lines, touching the figure in these points, cut off from another right line,... | |
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APM, cut a geometrical line of any order in as many points as it has dimensions, the product of the segments of the first terminated by P and the curve, will always be to the product of the segments of the latter, terminated by the same point and the... 