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
... angle by the com- 402 passes only . To find the diameter of a sphere Field ... solid figures with plane boundaries .. 486 426 Interpolation of series 287 ... solid geometry .. Theorems on lines and angles 331 Plumbers ' .. 516 460 Timber ...
... angle by the com- 402 passes only . To find the diameter of a sphere Field ... solid figures with plane boundaries .. 486 426 Interpolation of series 287 ... solid geometry .. Theorems on lines and angles 331 Plumbers ' .. 516 460 Timber ...
Page 344
... angles of a triangle meet in the same point . 17. If from the angles of a triangle ... solid under the whole base and its two segments , together with the solid ... angle , to draw a line which shall cut off a triangle equal to a given ...
... angles of a triangle meet in the same point . 17. If from the angles of a triangle ... solid under the whole base and its two segments , together with the solid ... angle , to draw a line which shall cut off a triangle equal to a given ...
Page 347
... angle they form be- tween them , is the angle contained by two lines , drawn ... solid angle is that which is made by three or more plane angles meeting each ... solids , contained by plane OF PLANES AND SOLIDS . 347.
... angle they form be- tween them , is the angle contained by two lines , drawn ... solid angle is that which is made by three or more plane angles meeting each ... solids , contained by plane OF PLANES AND SOLIDS . 347.
Page 360
... SOLID ANGLES . THEOREM XXII . ( 123. ) If a solid angle be contained by three plane angles , any two of them together are greater than the third ; and the difference of any two of them is less than the third . LET the solid angle at S ...
... SOLID ANGLES . THEOREM XXII . ( 123. ) If a solid angle be contained by three plane angles , any two of them together are greater than the third ; and the difference of any two of them is less than the third . LET the solid angle at S ...
Page 361
... solid is contained by plane angles , which are together less than four right angles . LET the solid angle at S be contained by the plane angles ASB , BSC , CSD , DSE , ESA : then the sum of these angles is always less than four right angles ...
... solid is contained by plane angles , which are together less than four right angles . LET the solid angle at S be contained by the plane angles ASB , BSC , CSD , DSE , ESA : then the sum of these angles is always less than four right angles ...
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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