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, Band 2Printed at the University Press, by WilliamHilliard, 1801 |
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Seite 140
... observed , that the outer wheel made two revolutions while the inner made but one ; the wheels were both 4 feet high ; and , supposing them fixed at the statutable distance of 5 feet asunder on the axletree , what was the circumference ...
... observed , that the outer wheel made two revolutions while the inner made but one ; the wheels were both 4 feet high ; and , supposing them fixed at the statutable distance of 5 feet asunder on the axletree , what was the circumference ...
Seite 170
... observations with the quadrant , necessary to deter- mine the heights and distances of objects , will be suf- ficiently apparent from the manner , in which the follow- ing examples are proposed ; and the solutions may easily be given by ...
... observations with the quadrant , necessary to deter- mine the heights and distances of objects , will be suf- ficiently apparent from the manner , in which the follow- ing examples are proposed ; and the solutions may easily be given by ...
Seite 171
... observations with the quadrant , necessary to deter mine the heights and distances of objects , will be suf- ficiently apparent from the manner , in which the follow- ing examples are proposed ; and the solutions may easily be given by ...
... observations with the quadrant , necessary to deter mine the heights and distances of objects , will be suf- ficiently apparent from the manner , in which the follow- ing examples are proposed ; and the solutions may easily be given by ...
Seite 177
... observation . B ५.५ ZC 58 ° ZD 32 subtract DBC 266 LD DC BC 32 100 9.6418420 9 * 7242097 2 ° 2'0823677 LA 90 ° 10 2C 58 BC 9'9284205 2.08236 7 T AB 10251 yards 20107882 166 , & c . yards = 5 feet VOL . II . 104'17 whole height . Y LA ...
... observation . B ५.५ ZC 58 ° ZD 32 subtract DBC 266 LD DC BC 32 100 9.6418420 9 * 7242097 2 ° 2'0823677 LA 90 ° 10 2C 58 BC 9'9284205 2.08236 7 T AB 10251 yards 20107882 166 , & c . yards = 5 feet VOL . II . 104'17 whole height . Y LA ...
Seite 185
... observation ? A B D ZD 90 ° 90 ° LD LB 64 35 ZA BCD 26 55 ACD 26 / BCD 29 ACB LACB 29 ° 9.6855712 LA 35 9 * 7585913 AB 880 2'9444827 BC 1041 * 125 30175028 ZACB 29 ° 9.6855712 ZABC 116 9'9536602 AB 880 2'9444827 AC 1631442 3.2125717 VOL ...
... observation ? A B D ZD 90 ° 90 ° LD LB 64 35 ZA BCD 26 55 ACD 26 / BCD 29 ACB LACB 29 ° 9.6855712 LA 35 9 * 7585913 AB 880 2'9444827 BC 1041 * 125 30175028 ZACB 29 ° 9.6855712 ZABC 116 9'9536602 AB 880 2'9444827 AC 1631442 3.2125717 VOL ...
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Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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...
Seite 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.
Seite 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...
Seite 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.
Seite 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.
Seite 83 - The sphere may be conceived to be formed by the revolution of a semicircle about its diameter, which remains fixed.
Seite 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...
Seite 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.
Seite 38 - Multiply the sum of the two parallel sides by the perpendicular distance between them, and half the product will be the area.