A Course of Mathematics: For the Use of Academies as Well as Private Tuition : in Two Volumes, Band 2W. E. Dean, 1831 |
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... Inclined Planes , Pendulums , & c . 221 Of Hydraulics , or Hydrodynamics 258 .280 MEA AOKK A COURSE OF MATHEMATICS , & . PLANE. OF ANALYTICAL Trigonometry Spherical Trigonometry 26 Resolution of Spherical Triangles 40 Geodesic Operations ...
... Inclined Planes , Pendulums , & c . 221 Of Hydraulics , or Hydrodynamics 258 .280 MEA AOKK A COURSE OF MATHEMATICS , & . PLANE. OF ANALYTICAL Trigonometry Spherical Trigonometry 26 Resolution of Spherical Triangles 40 Geodesic Operations ...
Seite 46
... inclined lines to the plane of the horizon . PROBLEM II . Given the three sides of a spherical triangle : it is required to find expressions for the determination of the angles . Retaining the notation of prob . 1 , in all its ...
... inclined lines to the plane of the horizon . PROBLEM II . Given the three sides of a spherical triangle : it is required to find expressions for the determination of the angles . Retaining the notation of prob . 1 , in all its ...
Seite 77
... plane inclined to the horizon , the corresponding angies in the horizontal plane . B Then Let BCA be an angle measured in a plane inclined to the horizon , and let B'CA ' be the corresponding angle in the ho rizontal plane . Let d and d ...
... plane inclined to the horizon , the corresponding angies in the horizontal plane . B Then Let BCA be an angle measured in a plane inclined to the horizon , and let B'CA ' be the corresponding angle in the ho rizontal plane . Let d and d ...
Seite 136
... planes cut , ting the cone in different directions , may readily be inferred . Let it be supposed , first , that the cutting plane is inclined to the base of a right - angled cone in the angle of 45 ° , and passes through its centre ...
... planes cut , ting the cone in different directions , may readily be inferred . Let it be supposed , first , that the cutting plane is inclined to the base of a right - angled cone in the angle of 45 ° , and passes through its centre ...
Seite 158
... Inclined Plane , the Wedge , and the Screw . 43. Centre of Motion , is the fixed point about which a body moves . And the Axis of Motion , is the fixed line about which it moves . 44. Centre of Gravity , is a certain point , on which a ...
... Inclined Plane , the Wedge , and the Screw . 43. Centre of Motion , is the fixed point about which a body moves . And the Axis of Motion , is the fixed line about which it moves . 44. Centre of Gravity , is a certain point , on which a ...
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Häufige Begriffe und Wortgruppen
abscissas altitude axis ball base beam becomes body centre of gravity chords circle consequently Corol cosine curve denote density descending determine diameter direction distance draw earth equa equal equation equilibrio EXAM expression feet find the fluent fluid fluxion force given plane ground line Hence horizontal plane hyperbola inches inclined plane intersection length logarithm measure motion multiplied nearly ordinates parabola parallel pendulum perpendicular pressure prob PROBLEM PROP proportional quantity radius ratio rectangle resistance right angles right line roots Scholium side sine solid angle space specific gravity spherical angle spherical excess spherical triangle square straight line supposed surface tangent theorem theref tion velocity vertex vertical plane vertical projections vibrations weight whole
Beliebte Passagen
Seite 459 - Or, by an. 249 of the same, the pressure is equal to the weight of a column of the fluid...
Seite 66 - To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.
Seite 195 - VI, its Corollaries and Scholium, for Constant Forces, are true in the Motions of. Bodies freely descending by their own Gravity ; namely, that the Velocities are as the Times, and the Spaces as the Squares of the Times, or as the Squares of the Velocities. FOR, since the force of gravity is uniform, and constantly the same, at all places near the earth's surface, or at nearly the same distance from the centre of the earth ; and since • this is the force by which bodies descend to the surface ;...
Seite 239 - BPC) ; or, the pressure of a fluid on any surface is equal to the weight of a column of the fluid...
Seite 289 - The workmen thought that substituting part silver was only a proper <perquisite; which taking air, Archimedes was appointed to examine it ; who, on putting...
Seite 35 - Two planes are said to have the same or a like inclination to one another which two other planes have, when the said angles of inclination are equal to one another.
Seite 75 - Let a, b, c, be the sides, and A, B, c, the angles of a spherical triangle, on the surface of a sphere whose radius is r ; then...
Seite 385 - Multiply the number in the table of multiplicands, by the breadth and square of the depth, both in inches, and divide that product by the length, also, in inches; the quotient will be the weight in Jbs.t Example 1.
Seite 244 - Weigh the denser body and the compound mass, separately, both in water and out of it ; then find how much each loses in water, by subtracting its weight in water from its weight in air ; and subtract the less of these remainders from the greater. Then...
Seite 140 - Body is either Hard, Soft, or Elastic. A Hard Body is that whose parts do not yield to any stroke or percussion, but retains its figure unaltered. A Soft Body is that whose parts yield^to any stroke or impression, without restoring themselves again ; the figure of the body remaining altered.