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, Volume 2Printed at the University Press, by WilliamHilliard, 1801 - Mathematics |
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Results 1-5 of 83
Page 9
... figure with a small , minutes with ' , seconds with " , and so on . Thus , 57 ° 30 ′ 12 ′′ , that is , 57 degrees , 30 minutes and 12 seconds . The complement of an arc is the difference between that arc and a quadrant . So BC = 40 ° is ...
... figure with a small , minutes with ' , seconds with " , and so on . Thus , 57 ° 30 ′ 12 ′′ , that is , 57 degrees , 30 minutes and 12 seconds . The complement of an arc is the difference between that arc and a quadrant . So BC = 40 ° is ...
Page 18
... figure . And that two quantities of any kind may be found , by the same rule , from their sum and difference , may be proved thus . Let CN represent the less and NL the greater of any two quantities ; and let B be the middle of the ...
... figure . And that two quantities of any kind may be found , by the same rule , from their sum and difference , may be proved thus . Let CN represent the less and NL the greater of any two quantities ; and let B be the middle of the ...
Page 28
... the general rule for all these cases is this : the sides are to each other , as the parts , which they rep resent . END OF PLANE TRIGONOMETRY . MENSURATION OF SUPERFICIES . THE AREA of any figure is 28 PLANE TRIGONOMETRY .
... the general rule for all these cases is this : the sides are to each other , as the parts , which they rep resent . END OF PLANE TRIGONOMETRY . MENSURATION OF SUPERFICIES . THE AREA of any figure is 28 PLANE TRIGONOMETRY .
Page 29
... figure is the measure of its surface ; or the space contained within the bounds of the sur face , without any regard to thickness . The area is estimated by the number of squares con- tained in the surface , the side of those squares ...
... figure is the measure of its surface ; or the space contained within the bounds of the sur face , without any regard to thickness . The area is estimated by the number of squares con- tained in the surface , the side of those squares ...
Page 30
... figure , is equal to the num- ber of linear measuring units in the length as often repeated , as there are linear measuring units in the breadth or height , that is , equal to the length multiplied by the height , which is the rule ...
... figure , is equal to the num- ber of linear measuring units in the length as often repeated , as there are linear measuring units in the breadth or height , that is , equal to the length multiplied by the height , which is the rule ...
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Common terms and phrases
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
Popular passages
Page 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.
Page 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...
Page 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.
Page 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...
Page 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.
Page 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.
Page 83 - The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.
Page 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...
Page 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.
Page 38 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.