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, Τόμος 2Printed at the University Press, by WilliamHilliard, 1801 |
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Αποτελέσματα 1 - 5 από τα 39.
Σελίδα 10
... cosine , cotangent , or cosecant , of an arc is the sine , tangent , or secant of the complement of that arc . So BH 1 is the cosine , CI the cotangent , and 30 PLANE TRIGONOMETRY .
... cosine , cotangent , or cosecant , of an arc is the sine , tangent , or secant of the complement of that arc . So BH 1 is the cosine , CI the cotangent , and 30 PLANE TRIGONOMETRY .
Σελίδα 11
... cosine , CI the cotangent , and FI the cosecant of AB . From the definitions it is evident , that the sine , tangent , and secant , are common to two arcs , which are the sup- plements of each other . So the sine , tangent , or secant ...
... cosine , CI the cotangent , and FI the cosecant of AB . From the definitions it is evident , that the sine , tangent , and secant , are common to two arcs , which are the sup- plements of each other . So the sine , tangent , or secant ...
Σελίδα 194
... cosine of 64 ° 51 ' the CABO . Ba - AB - Aa2 In like manner Ah = = 268 ; 2aA And AB Ab :: rad . : : 536 the cosine of 57 ° 35 ' the BAO ; both the same as above . tended by B and the mill was 58 ° 20 194 HEIGHTS AND DISTANCES .
... cosine of 64 ° 51 ' the CABO . Ba - AB - Aa2 In like manner Ah = = 268 ; 2aA And AB Ab :: rad . : : 536 the cosine of 57 ° 35 ' the BAO ; both the same as above . tended by B and the mill was 58 ° 20 194 HEIGHTS AND DISTANCES .
Σελίδα 285
... latitude AC 116 206456 : Cosine Course 45 ° 45 ' 9.85505 Radius 10'00000 : Distance AB = 162 2 * 20951 :: Sine Course 44 ° 15 ' 9.84372 : Departure 113 . 2 : 05323 8. There 8. There are two islands , A and B , PLANE SAILING . 285.
... latitude AC 116 206456 : Cosine Course 45 ° 45 ' 9.85505 Radius 10'00000 : Distance AB = 162 2 * 20951 :: Sine Course 44 ° 15 ' 9.84372 : Departure 113 . 2 : 05323 8. There 8. There are two islands , A and B , PLANE SAILING . 285.
Σελίδα 309
... cosine of any parallel is to the cosine of any other parallel , so is the length of any arc of the former to the length of the corresponding are of the latter . COR . 3. From this theorem is derived the method of constructing the line ...
... cosine of any parallel is to the cosine of any other parallel , so is the length of any arc of the former to the length of the corresponding are of the latter . COR . 3. From this theorem is derived the method of constructing the line ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 83 - The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.
Σελίδα 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...
Σελίδα 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.
Σελίδα 38 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.