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, Volumen2Printed at the University Press, by WilliamHilliard, 1801 |
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Página 68
... corresponding terms be equated , and we shall have m + n , and - 172 = ; whence m } , and n = } Then , by substituting these values of m and n in the assumed . quantity , we shall have 2CD x mx BD + n × BC = 2CD xBD + BC = CD x 2BD + ...
... corresponding terms be equated , and we shall have m + n , and - 172 = ; whence m } , and n = } Then , by substituting these values of m and n in the assumed . quantity , we shall have 2CD x mx BD + n × BC = 2CD xBD + BC = CD x 2BD + ...
Página 69
... corresponding area in the next column on the right hand , and multiply it by the square of the diameter , for the answer . EXAMPLE . * The table , to which this rule refers , is formed of the areas of the segments of a circle , whose ...
... corresponding area in the next column on the right hand , and multiply it by the square of the diameter , for the answer . EXAMPLE . * The table , to which this rule refers , is formed of the areas of the segments of a circle , whose ...
Página 79
... corresponding circular seg- ment , whose versed sine is x , and diameter a . Let the fluent of this expression , therefore , be denoted by A , and then the fluent of -xx / ax - x will be == a ---- a × A , whence the rule is formed ...
... corresponding circular seg- ment , whose versed sine is x , and diameter a . Let the fluent of this expression , therefore , be denoted by A , and then the fluent of -xx / ax - x will be == a ---- a × A , whence the rule is formed ...
Página 80
... corresponding seg . is * 185166 70 12961620 50 648 081000 2. What is the area of an elliptic segment , cut off par- allel to the shorter axis , the height being io , and the axes 25 and 35 ? Ans . 162 0210 . 3. What is the area of an ...
... corresponding seg . is * 185166 70 12961620 50 648 081000 2. What is the area of an elliptic segment , cut off par- allel to the shorter axis , the height being io , and the axes 25 and 35 ? Ans . 162 0210 . 3. What is the area of an ...
Página 106
... corresponding tabular number belonging to the polygon , either by the sum arising by adding together the square of a side of each end and the product of the two sides , or by the quotient of the difference of their cubes divided by ...
... corresponding tabular number belonging to the polygon , either by the sum arising by adding together the square of a side of each end and the product of the two sides , or by the quotient of the difference of their cubes divided by ...
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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...
Página 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.
Página 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...
Página 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.
Página 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.
Página 83 - The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.
Página 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...
Página 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.
Página 38 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.