## A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |

### From inside the book

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Page 295

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**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

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**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

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**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

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**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

... 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 .### Other editions - View all

### 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