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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Resultat 1-5 av 71
Side 10
... sine and the beginning of the arc . So AE is the versed sine of AB , and DE the versed sine of BCD . The tangent of an arc is the line , drawn perpendicularly from one end of the diameter passing through one end of the arc , and ...
... sine and the beginning of the arc . So AE is the versed sine of AB , and DE the versed sine of BCD . The tangent of an arc is the line , drawn perpendicularly from one end of the diameter passing through one end of the arc , and ...
Side 11
... sine , tangent , and secant , are common to two arcs , which are the sup- plements of each other . So the sine , tangent , or secant , of 50 ° is also the sine , tangent , or secant of 130 ° . The sine , tangent , or secant , of an ...
... sine , tangent , and secant , are common to two arcs , which are the sup- plements of each other . So the sine , tangent , or secant , of 50 ° is also the sine , tangent , or secant of 130 ° . The sine , tangent , or secant , of an ...
Side 13
... sin . angle opp . the former To sin . angle opp . the latter . NOTE I. To find an angle , begin the proportion with a ... sine answers to two angles , which are the sup- plements * DEMONSTRATION . Let ABC be any trian- gle in AB assume ...
... sin . angle opp . the former To sin . angle opp . the latter . NOTE I. To find an angle , begin the proportion with a ... sine answers to two angles , which are the sup- plements * DEMONSTRATION . Let ABC be any trian- gle in AB assume ...
Side 14
... sine , is the the angle be obtuse , take those degrees from 180 ° , and the remainder will be the obtuse angle . When the given angle is obtuse , or right , there can be no ambiguity ; for then neither of the other angles can be obtuse ...
... sine , is the the angle be obtuse , take those degrees from 180 ° , and the remainder will be the obtuse angle . When the given angle is obtuse , or right , there can be no ambiguity ; for then neither of the other angles can be obtuse ...
Side 15
... sine LA37 ° 20 ′ 9'7827958 To sine 4C 115 ° 36 ′ or 64 ° 24 ′ 9'9551269 LA 37 20 37 20 Subtract 152 56 or ro1 44 . From 180 00 180 00 Leaves 27 04 78 16 the B. Then As sine ZA 37 ° 20 ' 9 * 7827958 To sine B 27 042 9'658037.1 78 ** 16S ...
... sine LA37 ° 20 ′ 9'7827958 To sine 4C 115 ° 36 ′ or 64 ° 24 ′ 9'9551269 LA 37 20 37 20 Subtract 152 56 or ro1 44 . From 180 00 180 00 Leaves 27 04 78 16 the B. Then As sine ZA 37 ° 20 ' 9 * 7827958 To sine B 27 042 9'658037.1 78 ** 16S ...
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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.