A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
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Page 295
... inscribed in it , when all the sides of the figure touch the circumference of the circle . 68. One right - lined figure is inscribed in another , or the latter circumscribes the former , when all the angular points of the former are ...
... inscribed in it , when all the sides of the figure touch the circumference of the circle . 68. One right - lined figure is inscribed in another , or the latter circumscribes the former , when all the angular points of the former are ...
Page 318
... inscribed in a circle , is equal to two right angles . LET ABCD be any quadrilateral inscribed in a circle ; then shall the sum of the two opposite angles A and C , or B and D , be equal to two right angles . For the angle A is measured ...
... inscribed in a circle , is equal to two right angles . LET ABCD be any quadrilateral inscribed in a circle ; then shall the sum of the two opposite angles A and C , or B and D , be equal to two right angles . For the angle A is measured ...
Page 322
... inscribed in a circle , is equal to the sum of the two rectangles of the opposite sides . LET ABCD be any quadrilateral inscribed in a circle , and AC , BD , its two diagonals : then AC . BD = AB . DC + AD . BC . D C E For , let CE be ...
... inscribed in a circle , is equal to the sum of the two rectangles of the opposite sides . LET ABCD be any quadrilateral inscribed in a circle , and AC , BD , its two diagonals : then AC . BD = AB . DC + AD . BC . D C E For , let CE be ...
Page 335
... inscribed in circles , have their like sides , and also their whole perimeters , in the same ratio as the diameters of the circles in which they are inscribed . LET ABCDE , FGHIK , be two similar figures , inscribed in the circles whose ...
... inscribed in circles , have their like sides , and also their whole perimeters , in the same ratio as the diameters of the circles in which they are inscribed . LET ABCDE , FGHIK , be two similar figures , inscribed in the circles whose ...
Page 336
... side of a regular polygon inscribed in the circle abd , yet evidently greater than the circle ihk , because each of its constituent triangles , as acd , con- tains the corresponding circular sector cno . Let AD be 336 GEOMETRY .
... side of a regular polygon inscribed in the circle abd , yet evidently greater than the circle ihk , because each of its constituent triangles , as acd , con- tains the corresponding circular sector cno . Let AD be 336 GEOMETRY .
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Common terms and phrases
ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC u₁ vulgar fraction Whence