A Course of Mathematics: For the Use of Academies as Well as Private Tuition : in Two Volumes, Band 2W. E. Dean, 1831 |
Im Buch
Ergebnisse 1-5 von 100
Seite 5
... to be estimated on the same radius in the same direction . Hence the preceding equation would become sin . ( B - C ) = sin . B. cos . C --- - sin . c . cos . B. ון 11. Let c ' be the complement of c & NALYTICAL PLANE TRIGONOMETRY .
... to be estimated on the same radius in the same direction . Hence the preceding equation would become sin . ( B - C ) = sin . B. cos . C --- - sin . c . cos . B. ון 11. Let c ' be the complement of c & NALYTICAL PLANE TRIGONOMETRY .
Seite 60
... directions were restricted to the necessary operations for surveying fields , farms , lordships , or at most counties ... direction of the practical operations , and the management of the computations . The extensive processes which we ...
... directions were restricted to the necessary operations for surveying fields , farms , lordships , or at most counties ... direction of the practical operations , and the management of the computations . The extensive processes which we ...
Seite 63
... direction of the meridian , according Y E F I MM ' de N P X K H to the observations in art . 3. These triangles are really spherical or spheroidal triangles ; but as their curvature is extremely small , they are treated the same as ...
... direction of the meridian , according Y E F I MM ' de N P X K H to the observations in art . 3. These triangles are really spherical or spheroidal triangles ; but as their curvature is extremely small , they are treated the same as ...
Seite 64
... direction and the length of such meridian , from one ex- tremity of the series of triangles , to the other . A line traced in the manner we have now been describing , or deduced from trigonometrical measures , by the means we have ...
... direction and the length of such meridian , from one ex- tremity of the series of triangles , to the other . A line traced in the manner we have now been describing , or deduced from trigonometrical measures , by the means we have ...
Seite 73
... direction at least may be chosen at pleasure , we pro . ceed to inquire what that direction should be , in the case where one only of the other two sides of the triangle is to be determined . Let it be imagined , as before , that AB is ...
... direction at least may be chosen at pleasure , we pro . ceed to inquire what that direction should be , in the case where one only of the other two sides of the triangle is to be determined . Let it be imagined , as before , that AB is ...
Andere Ausgaben - Alle anzeigen
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.