## 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 347

... angle they form be- tween them , is the angle contained by two lines , drawn from any point in the common section and at right angles to it , one of these lines in each plane . This is often called a

... angle they form be- tween them , is the angle contained by two lines , drawn from any point in the common section and at right angles to it , one of these lines in each plane . This is often called a

**dihedral angle**. 5. ( 91a . ) If ... Page 359

... angle DEA = CEA . But the line joining AB bisects CG at right angles in E ; hence also the angle DEA is a right ...

... angle DEA = CEA . But the line joining AB bisects CG at right angles in E ; hence also the angle DEA is a right ...

**dihedral angle**, and from any point in it perpendiculars be drawn to the planes which contain the**dihedral angle**... Page 361

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**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**. Let the ...**dihedral angle**specified in the enunciation . In like manner may THEOREMS . 361. Page 362

... angle specified in the enunciation . In like manner may the other

... angle specified in the enunciation . In like manner may the other

**dihedral angles**be shown to be equal . THEOREM XXV ... angle at A be equal to the solid angle at B. E F EI Let the solid angle at A be applied to the solid angle at ... Page 369

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**dihedral angle**of the planes of the great circles . 2. The square of the diagonal of any rectangular ...**dihedral angles**of a tetrahedron meet in one point ; and that point is the centre of a sphere inscribed in the tetrahedron . 5 ...### 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