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 viii
... radius Inverse functions ..... 441 442 257 251 261 255 Exercises on arcs ... 44335 * 405 264 258 Right - angled triangles ... 445 399 265 258 calculation of 446 400 Annuities 267 261 Oblique - angled triangles .. 447 390 Series by ...
... radius Inverse functions ..... 441 442 257 251 261 255 Exercises on arcs ... 44335 * 405 264 258 Right - angled triangles ... 445 399 265 258 calculation of 446 400 Annuities 267 261 Oblique - angled triangles .. 447 390 Series by ...
Page 291
... radius of a circle is a line drawn from the centre to the circumference . 17. The diameter of a circle is a line drawn through the centre , and terminating at the circumference on both sides . 18. An arc of a circle is any part of 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 through the centre , and terminating at the circumference on both sides . 18. An arc of a circle is any part of the ...
Page 314
... radius FB . From each of these take away the common part FG , and the remainder GA will be greater than the remainder GB : but the point G being supposed the centre of the inner circle , its two radii , GA , GD , are equal to each other ...
... radius FB . From each of these take away the common part FG , and the remainder GA will be greater than the remainder GB : but the point G being supposed the centre of the inner circle , its two radii , GA , GD , are equal to each other ...
Page 315
... radius , is a tangent to the circle . LET the line ADB be perpendicular to the radius CD of a circle ; then shall AB touch the circle in the point D only . From any other point E in the line AB draw CFE to the centre , cutting the ...
... radius , is a tangent to the circle . LET the line ADB be perpendicular to the radius CD of a circle ; then shall AB touch the circle in the point D only . From any other point E in the line AB draw CFE to the centre , cutting the ...
Page 316
... radius EC to the point of contact , and the radius EF perpendicular to the chord at H. Then the radius EF , being perpendicular to the chord CD , bisects the arc CFD ( th . 41 ) . Therefore CF is half the arc CFD . A. C B F H E D In the ...
... radius EC to the point of contact , and the radius EF perpendicular to the chord at H. Then the radius EF , being perpendicular to the chord CD , bisects the arc CFD ( th . 41 ) . Therefore CF is half the arc CFD . A. C B F H E D In the ...
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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