A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1Gilberte and Rivington, 1841 - Mathematics |
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Page 291
... centre of the circle . The circumference itself is often called a circle , and also sometimes the periphery . 16. The radius of a circle is a line drawn from the centre to the circumference . 17. The diameter of a circle is a line drawn ...
... centre of the circle . The circumference itself is often called a circle , and also sometimes the periphery . 16. The radius of a circle is a line drawn from the centre to the circumference . 17. The diameter of a circle is a line drawn ...
Page 294
... centre of a circle , when perpendiculars drawn to them from the centre are equal . 62. And the right line on which the greater perpendicular falls , is said to be farther from the centre . 63. An angle in a segment is that which is ...
... centre of a circle , when perpendiculars drawn to them from the centre are equal . 62. And the right line on which the greater perpendicular falls , is said to be farther from the centre . 63. An angle in a segment is that which is ...
Page 295
... centre , is that whose angular point is at the centre . 66. A right - lined figure is inscribed in a circle , or the circle circumscribes it , when all the angular points of the figure are in the circumference of the circle . 67. A ...
... centre , is that whose angular point is at the centre . 66. A right - lined figure is inscribed in a circle , or the circle circumscribes it , when all the angular points of the figure are in the circumference of the circle . 67. A ...
Page 298
... centre F ( def . 57 ) , is the measure of four right angles . Consequently , a semicircle , or 180 degrees , is the measure of two right angles ; and a quadrant , or 90 degrees , the measure of one right angle . F THEOREM V. When two ...
... centre F ( def . 57 ) , is the measure of four right angles . Consequently , a semicircle , or 180 degrees , is the measure of two right angles ; and a quadrant , or 90 degrees , the measure of one right angle . F THEOREM V. When two ...
Page 313
... centre of the circle . THEOREM XLII . If more than two equal lines can be drawn from any point within a circle to the circumference , that point will be the centre . LET ABC be a circle , and D a point within it : then if any three ...
... centre of the circle . THEOREM XLII . If more than two equal lines can be drawn from any point within a circle to the circumference , that point will be the centre . LET ABC be a circle , and D a point within it : then if any three ...
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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