A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
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Page 2
... position , the one whose perimeter is a minimum is that whose sides are equally inclined to that line . Let AB be the common base of a series of triangles ABC ' , ABC , & c . , whose vertices C ́ , C , fall in the right line LM , given ...
... position , the one whose perimeter is a minimum is that whose sides are equally inclined to that line . Let AB be the common base of a series of triangles ABC ' , ABC , & c . , whose vertices C ́ , C , fall in the right line LM , given ...
Page 3
... position , that which is bisected by the given point forms with the other two lines the least triangle . Of all right lines GD , AB , GD , that can be drawn through a given point P , to cut the right lines CA , CD , given in position ...
... position , that which is bisected by the given point forms with the other two lines the least triangle . Of all right lines GD , AB , GD , that can be drawn through a given point P , to cut the right lines CA , CD , given in position ...
Page 48
... positions in the same horizontal plane ABC whose distances from each other taken in order were 150 · 25 , 179-69 , and 205.36 yards , the eleva- tions of the top of a tower on a hill were found to be 6 ° 10 ′ 55 ′′ , 7 ° 18 ′ 3 ′′ , and ...
... positions in the same horizontal plane ABC whose distances from each other taken in order were 150 · 25 , 179-69 , and 205.36 yards , the eleva- tions of the top of a tower on a hill were found to be 6 ° 10 ′ 55 ′′ , 7 ° 18 ′ 3 ′′ , and ...
Page 75
... positions , have never been able to deve- lope the properties of this class of geometrical quantities ; but have ... position of those planes , that is , in the magnitude of the solid angle , without a corresponding and proportional ...
... positions , have never been able to deve- lope the properties of this class of geometrical quantities ; but have ... position of those planes , that is , in the magnitude of the solid angle , without a corresponding and proportional ...
Page 79
... position on the surface of a sphere from which a given triangle shall subtend a given solid angle : the latitudes of the three points being 10 ° 15 ′ , 18 ° 10 ′ , and 16 ° 15 ′ , and the longitudes 18 ° 15 ′ , 25 ° 18 ′ , and 16 ° 18 ...
... position on the surface of a sphere from which a given triangle shall subtend a given solid angle : the latitudes of the three points being 10 ° 15 ′ , 18 ° 10 ′ , and 16 ° 15 ′ , and the longitudes 18 ° 15 ′ , 25 ° 18 ′ , and 16 ° 18 ...
Other editions - View all
A Course of Mathematics: For the Use of Academies ... as Well as Private Tuition Charles Hutton No preview available - 2015 |
A Course of Mathematics: For the Use of Academies ... As Well As Private Tuition Charles Hutton No preview available - 2022 |
A Course of Mathematics: For the Use of Academies, as Well as Private Tuition Charles Hutton No preview available - 2015 |
Common terms and phrases
abscisses altitude asymptotes Ax² axis ball base becomes bisected body Ca² centre of gravity chord circle circumscribed co-ordinates coefficients cone conic section conjugate conjugate hyperbolas consequently Corol cosec cosine curve denoted determine diameter difference differential direction distance divided draw drawn ellipse equal equation equilibrium expression feet figure find the fluent fluid fluxion force function Geom given Hence horizontal hyperbola inches intersection length logarithm motion ordinate parabola parallel parallelogram pendulum perpendicular plane polygon pressure produced PROP proportional quantity radius ratio rectangle respectively right angles SCHOLIUM sides similar triangles sine solid angles specific gravity sphere spherical triangle square Suppose surface tangent theor theorem transverse trigonometrical variable velocity vertex vertical weight whence