A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
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Page 4
... half ABC , but less than half DGC . From which it follows ( consistently with both the algebraical and geometrical solution of prob . 8 , Application of Algebra to Geometry ) , that a parallelogram is always less than half a triangle in ...
... half ABC , but less than half DGC . From which it follows ( consistently with both the algebraical and geometrical solution of prob . 8 , Application of Algebra to Geometry ) , that a parallelogram is always less than half a triangle in ...
Page 6
... half the corresponding side AB , BC , & c .; and consequently , the area of the polygon ABCD , circumscribing the circle , will be equal to the rectangle of the radius of the circle and half the perimeter of the polygon . But , the ...
... half the corresponding side AB , BC , & c .; and consequently , the area of the polygon ABCD , circumscribing the circle , will be equal to the rectangle of the radius of the circle and half the perimeter of the polygon . But , the ...
Page 8
... half sides of two regular polygons circumscribed about that circle , of which the number of sides differ by unity , being respectively n + 1 and n . The angles ACB , ACD , therefore are respectively the 1 and the th n + 1 n BD part of ...
... half sides of two regular polygons circumscribed about that circle , of which the number of sides differ by unity , being respectively n + 1 and n . The angles ACB , ACD , therefore are respectively the 1 and the th n + 1 n BD part of ...
Page 9
Charles Hutton Olinthus Gilbert Gregory. That is , the semiperimeter of the polygon whose half side is AB , is smaller than the semiperimeter of the polygon whose half side is AD : whence the proposition is manifest . Cor . Hence ...
Charles Hutton Olinthus Gilbert Gregory. That is , the semiperimeter of the polygon whose half side is AB , is smaller than the semiperimeter of the polygon whose half side is AD : whence the proposition is manifest . Cor . Hence ...
Page 21
... half the circumference : whence it follows that an obtuse angle ( measured by an arc greater than a quadrant ) has the same sine and cosine as its supplement ; the cosine , however , being reckoned - subtractive or negative , because it ...
... half the circumference : whence it follows that an obtuse angle ( measured by an arc greater than a quadrant ) has the same sine and cosine as its supplement ; the cosine , however , being reckoned - subtractive or negative , because it ...
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