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 85.
Σελίδα 11
... is to be found from three given terms , by multiplying the second and third together , and dividing the product by the first , in working with the natural natural numbers , whether they be sides , or sines PLANE TRIGONOMETRY . DEFINITIONS,
... is to be found from three given terms , by multiplying the second and third together , and dividing the product by the first , in working with the natural natural numbers , whether they be sides , or sines PLANE TRIGONOMETRY . DEFINITIONS,
Σελίδα 30
... Multiply the length by the breadth , or perpendicular height , and the product will be the area . EXAMPLES . Take ... multiplied by the height , which is the rule . And since a rectangle is equal to an oblique parallelogram standing upon ...
... Multiply the length by the breadth , or perpendicular height , and the product will be the area . EXAMPLES . Take ... multiplied by the height , which is the rule . And since a rectangle is equal to an oblique parallelogram standing upon ...
Σελίδα 33
... Multiply the base by the perpendicular height , and half the product will be the area . RULE 2 . When the three sides only are given add the three sides together , and take half the sum ; from the half sum sub- tract each side ...
... Multiply the base by the perpendicular height , and half the product will be the area . RULE 2 . When the three sides only are given add the three sides together , and take half the sum ; from the half sum sub- tract each side ...
Σελίδα 34
... multiplied by the square of the side , will be the area ; because , in that case , the pe- rimeter is three times the side , and the three differences are all equal to each other . RULE 3. Any two sides of a triangle being multiplied to ...
... multiplied by the square of the side , will be the area ; because , in that case , the pe- rimeter is three times the side , and the three differences are all equal to each other . RULE 3. Any two sides of a triangle being multiplied to ...
Σελίδα 38
... Multiply the sum of the two parallel sides by the per- pendicular distance between them , and half the product will be the area . EXAMPLES . * DEMONSTRATION . ABXDE DCX Bn The A ABD is = and the BCD = 2 2 DCX DE or ( because Bn DE ) ...
... Multiply the sum of the two parallel sides by the per- pendicular distance between them , and half the product will be the area . EXAMPLES . * DEMONSTRATION . ABXDE DCX Bn The A ABD is = and the BCD = 2 2 DCX DE or ( because Bn DE ) ...
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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.