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, Volum 2W. Hilliard, 1808 |
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Resultat 1-5 av 38
Side 83
... curve , the Rule will give the content very near the truth ; so that the content of a cask of any form may , with a good degree of prob- ability , be obtained by it to within of a gallon , if the dimen- sions be accurately measured . BY ...
... curve , the Rule will give the content very near the truth ; so that the content of a cask of any form may , with a good degree of prob- ability , be obtained by it to within of a gallon , if the dimen- sions be accurately measured . BY ...
Side 85
... curve does not differ much from a parabolic curve . Let AB and CD be the two right lined parts , and BC the parabolic part . Produce AB and DC to meet in E. Put L = AD the length of the cask , B FG the bung diameter , and H = AH the ...
... curve does not differ much from a parabolic curve . Let AB and CD be the two right lined parts , and BC the parabolic part . Produce AB and DC to meet in E. Put L = AD the length of the cask , B FG the bung diameter , and H = AH the ...
Side 273
... Hence the centre of a parabola is infinitely distant from the vertex . And of an ellipse the axes and centre lie with in the curve ; but of a hyperbola without . Vol II LI 12. A Diameter is any right line , as AB CONIC SECTIONS . 273.
... Hence the centre of a parabola is infinitely distant from the vertex . And of an ellipse the axes and centre lie with in the curve ; but of a hyperbola without . Vol II LI 12. A Diameter is any right line , as AB CONIC SECTIONS . 273.
Side 274
... curve ; and the extremities of the diameter , or its intersec- tions with the curve , are its vertices . Hence all the diameters of a parabola , are parallel to the axis , and infinite in length ; and therefore Ab and De are only parts ...
... curve ; and the extremities of the diameter , or its intersec- tions with the curve , are its vertices . Hence all the diameters of a parabola , are parallel to the axis , and infinite in length ; and therefore Ab and De are only parts ...
Side 275
... curves mutually conjugate to the other . d F H I ** E B A b B 19. And if tangents be drawn to the four vertices of the curves , or extremities of the axis , forming the inscribed rectangle HIKL ; the diagonals HCK , ICL of this rectan ...
... curves mutually conjugate to the other . d F H I ** E B A b B 19. And if tangents be drawn to the four vertices of the curves , or extremities of the axis , forming the inscribed rectangle HIKL ; the diagonals HCK , ICL of this rectan ...
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Mathematics: Compiled from the Best Authors, and Intended to be the ..., Volum 1 Samuel Webber Uten tilgangsbegrensning - 1808 |
Vanlige uttrykk og setninger
abscisses altitude axis azimuth base Ca² cask centre complement cone conjugate cosine course curve DE³ declination departure describe dial diameter diff difference of latitude difference of longitude distance divide draw the parallel drawn ecliptic ellipse equal equinoctial EXAMPLES feet figure find the rest frustum height Hence horizon hour angle hour lines hyperbola hypotenuse inches intersection LATITUDE SAILING length measure Mercator's meridional difference middle latitude miles multiply NOTE oblique circle opposite ordinates parabola parallel of latitude parallel sailing perpendicular plane sailing pole prime vertical primitive Prob PROBLEM projection Prop proportional Q. E. D. COR quadrant radius rectangle Required the content rhumb right ascension right circle right line rule secant segment Side AC sine sphere spheric triangle spindle square star station Stereographic Projection stile sun's tance tang tangent THEOREM vertical
Populære avsnitt
Side 3 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Side 147 - 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.
Side 8 - Take the length of the keel within board (so much as she treads on the ground) and the breadth within board by the midship beam, from plank to plank, and half the breadth for the depth, then multiply the length by the breadth, and that product by the depth, and divide the whole by 94; the quotient will give the true contents of the tonnage.
Side 59 - ... small statue, the head of which is 97 feet from the summit of the higher, and 86 feet from the top of the lower column, the base of which measures just 16 feet to the centre of the figure's base. Required the distance between the tops of the two columns ? Ans.
Side 61 - A gentleman has a garden 100 feet long, and 80 feet broad ; and a gravel walk is to be made of an equal width half round it ; what must the breadth of the walk be to take up just half the ground? Ans. 25-968 feet.
Side 63 - If a heavy sphere, whose diameter is 4 inches, be let fall into a conical glass, full of water, whose diameter is 5, and altitude 6 inches ; it is required to determine how much water will run over ? AHS.
Side 62 - Ans. the upper part 13'867. the middle part 3 '605. the lower part 2-528. QUES J. 48. A gentleman has a bowling green, 300 feet long, and 200 feet broad, which he would raise 1 foot higher, by means of the earth to be dug out of a ditch that goes round it: to what depth must the ditch be dug, supposing its breadth to be every where 8 feet ? Ans.
Side 21 - ... 07958 in using the circumferences ; then taking one-third of the product, to multiply by the length, for the content. Ex. 1. To find the number of solid feet in a piece of timber, whose bases are squares, each side of the greater end being 15 inches, and each side of the less end 6 inches ; also, the length or the perpendicular altitude 24 feet.
Side 187 - AC 2AC nearly ; that is, the difference between the true and apparent level is equal to the square of the distance between the places, divided by the diameter of the earth ; and consequently it is always proportional to the square of the distance.
Side 29 - ... -5236, for the content. RULE II. To 3 times the square of the radius of the segment's base, add the square of its height ; then multiply the sum by the height, and the product by -5236, for the content.