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 32
... polygon being 236 yards , and that part of it which is terminated by the curtain and shoulder being 146 yards 1 foot 4 inches ; what then was the length of the face of the bastion ? Ans . 89 yds Ift 8 inches . COMPOUND MULTIPLICATION ...
... polygon being 236 yards , and that part of it which is terminated by the curtain and shoulder being 146 yards 1 foot 4 inches ; what then was the length of the face of the bastion ? Ans . 89 yds Ift 8 inches . COMPOUND MULTIPLICATION ...
Page 289
... polygons , of q + 2 sides each will be formed ; and if they were balls , laid stratum on stratum , they would altogether form a pyramid on a ( q + 2 ) -gonal base ; and the integration of the general term of the ( q + 2 ) -gonal ...
... polygons , of q + 2 sides each will be formed ; and if they were balls , laid stratum on stratum , they would altogether form a pyramid on a ( q + 2 ) -gonal base ; and the integration of the general term of the ( q + 2 ) -gonal ...
Page 293
... polygon has all its sides and all its angles equal . If they are not both equal , the polygon is irregular . 48. An equilateral triangle is also a regular figure of three sides , and the square is one of four : the former being also ...
... polygon has all its sides and all its angles equal . If they are not both equal , the polygon is irregular . 48. An equilateral triangle is also a regular figure of three sides , and the square is one of four : the former being also ...
Page 303
... polygon into as many tri- angles as it has sides . Now the sum of the three angles of each of these triangles , is equal to two right angles ( th . 17 ) ; E D C therefore the sum of the angles of all the triangles THEOREMS . 303.
... polygon into as many tri- angles as it has sides . Now the sum of the three angles of each of these triangles , is equal to two right angles ( th . 17 ) ; E D C therefore the sum of the angles of all the triangles THEOREMS . 303.
Page 304
... polygon , is equal to four right angles , ( cor . 3 , th . 4 , ) and must be deducted out of the former sum . Hence it follows that the sum of all the inward angles of the polygon alone , A + B + C + D + E , is equal to twice as many ...
... polygon , is equal to four right angles , ( cor . 3 , th . 4 , ) and must be deducted out of the former sum . Hence it follows that the sum of all the inward angles of the polygon alone , A + B + C + D + E , is equal to twice as many ...
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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