Mathematics: Compiled from the Best Authors and Intended to be the Text-book of the Course of Private Lectures on These Sciences in the University at Cambridge, Volum 2Printed at the University Press, by WilliamHilliard, 1801 |
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Side 10
... diameter , drawn through the other end of the arc . So BE is the sine of AB or of BCD . D H E E K The versed sine of an arc is the part of the diameter be tween the sine and the beginning of the arc . So AE is the versed sine of AB ...
... diameter , drawn through the other end of the arc . So BE is the sine of AB or of BCD . D H E E K The versed sine of an arc is the part of the diameter be tween the sine and the beginning of the arc . So AE is the versed sine of AB ...
Side 50
... diameter , or the radius AC or CD . Here will always be given two sides of the right - angled triangles A PC , APD ; and there fore the other parts will easily be found from the property in Problem III . namely , that the square A D P R ...
... diameter , or the radius AC or CD . Here will always be given two sides of the right - angled triangles A PC , APD ; and there fore the other parts will easily be found from the property in Problem III . namely , that the square A D P R ...
Side 51
... diameter to the circumference . so is the circumference to the diameter . As 22 is to 7 , RULE The ratio of the diameter of a circle to its circumference has never yet been exactly attained . Nor can a square , or any other right ...
... diameter to the circumference . so is the circumference to the diameter . As 22 is to 7 , RULE The ratio of the diameter of a circle to its circumference has never yet been exactly attained . Nor can a square , or any other right ...
Side 52
... diameter to the circuin- ference . As 355 ameter . is to 113 , so is the circumference to the di- RULE years ago , had discovered this ratio to be nearly as 7 is to 22 , which is the same as our first rule . * By inscribing and ...
... diameter to the circuin- ference . As 355 ameter . is to 113 , so is the circumference to the di- RULE years ago , had discovered this ratio to be nearly as 7 is to 22 , which is the same as our first rule . * By inscribing and ...
Side 53
... diameter to the circum ference . As 3'1416 is to I , so is the circumference to the di ameter . EXAMPLES . the same thing with less labour and trouble , and far more expe- dition . Mr. John Machin , Professor of Astronomy in Gresham ...
... diameter to the circum ference . As 3'1416 is to I , so is the circumference to the di ameter . EXAMPLES . the same thing with less labour and trouble , and far more expe- dition . Mr. John Machin , Professor of Astronomy in Gresham ...
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Mathematics: Compiled from the Best Authors and Intended to be the Text-book ... Samuel Webber Uten tilgangsbegrensning - 1801 |
Mathematics: Compiled from the Best Authors, and Intended to be the ..., Volum 2 Uten tilgangsbegrensning - 1808 |
Vanlige uttrykk og setninger
abscisses ADBA altitude angle answer axes axis azimuth base breadth bung diameter cask centre chord circumference cone conjugate cosine course curve declination departure dial diff difference of latitude difference of longitude distance divided draw drawn ecliptic ellipse equal equinoctial EXAMPLES feet figure find the area find the solidity frustum given head diameter height Hence horizon hour angle hour lines hyperbola hypotenuse intersection latit measure meridian middle latitude miles multiply the sum NOTE oblique circle opposite ordinate parabola parallel of latitude parallel sailing parallelogram perpendicular plane sailing pole primitive PROBLEM PROBLEM projection proportion quadrant radius rectangle Required the area Required the content right ascension right line RULE secant segment side sphere spherical triangle spindle square star station stile subtract sun's tance tang tangent THEOREM transverse trapezium triangle ABC ullage wine gallons yards
Populære avsnitt
Side 21 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Side 17 - To find the other side: — as the sum of the two given sides is to their difference, so is the tangent of half the sum of their opposite angles to the tangent of half their difference...
Side 83 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Side 328 - The conjugate to any diameter is the line drawn through the centre, and parallel to the tangent of the curve at the vertex of the diameter. So...
Side 28 - But if the hypothenuse be made radius -, then each leg "will represent the sine of its opposite angle ; namely, the leg AB the sine of the arc AE or angle c, and the leg BC the sine of the arc CD or angle A.
Side 83 - The axis of a solid is a line drawn from the middle of one end to the middle of the opposite end ; as between the opposite ends of a prism.
Side 83 - The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.
Side 130 - Between these, in a right line, stands an ancient statue, the head whereof is 97 feet from the summit of the higher, and 86 feet from the top of the lower column, and the distance between the...
Side 205 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 38 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.