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 100.
Σελίδα 21
... circle cutting the other two sides in E and F ; produce CB to the circle at G , and let fall the perpendicular BD . Then is GB = BF AB , and ( by 3 III . Eucl . ) AD = Ꭿ B DE , and consequently EC - CD - DA the difference of the ...
... circle cutting the other two sides in E and F ; produce CB to the circle at G , and let fall the perpendicular BD . Then is GB = BF AB , and ( by 3 III . Eucl . ) AD = Ꭿ B DE , and consequently EC - CD - DA the difference of the ...
Σελίδα 40
... circle . RULE . † Add all the four sides together , and take half the sum , and subtract each side separately from the half sum ; then multiply * DEMONSTRATION . BEX DF The area of the triangle BDE is = BEXAC ; and the area of the ...
... circle . RULE . † Add all the four sides together , and take half the sum , and subtract each side separately from the half sum ; then multiply * DEMONSTRATION . BEX DF The area of the triangle BDE is = BEXAC ; and the area of the ...
Σελίδα 51
... circle . This is the famous problem , called the squaring of the circle , which has exercised the abilities of the greatest mathematicians for ages , and been the occasion of so many endless disputes.- Several persons of considerable ...
... circle . This is the famous problem , called the squaring of the circle , which has exercised the abilities of the greatest mathematicians for ages , and been the occasion of so many endless disputes.- Several persons of considerable ...
Σελίδα 52
... circle was 1 , the circumference would be 314159265358979323846264338 3279502884 nearly . And this is exactly true to 36 places of decimals , and was effected by means of the continual bisection of an arc of a circle , which was so ...
... circle was 1 , the circumference would be 314159265358979323846264338 3279502884 nearly . And this is exactly true to 36 places of decimals , and was effected by means of the continual bisection of an arc of a circle , which was so ...
Σελίδα 53
... circle , which is true to 100 places of decimals ; and M. De Lagny and M. Euler have carried it still farther . And these last expressions are so extremely near the truth , that , except the ratio could be completely obtained , we need ...
... circle , which is true to 100 places of decimals ; and M. De Lagny and M. Euler have carried it still farther . And these last expressions are so extremely near the truth , that , except the ratio could be completely obtained , we need ...
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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.