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 292
... sides , or of their angles ; for they have as many sides as angles ; the least number being three . 29. A figure of three sides ( and consequently three angles ) is called a triangle : and it receives particular denominations from the ...
... sides , or of their angles ; for they have as many sides as angles ; the least number being three . 29. A figure of three sides ( and consequently three angles ) is called a triangle : and it receives particular denominations from the ...
Page 293
... sides and angles is called a quadrangle , or a quadri- lateral , or a trapezium . 37. A parallelogram is a quadrilateral which has both its pairs of opposite sides parallel . And it takes the following particular names , viz . rectangle ...
... sides and angles is called a quadrangle , or a quadri- lateral , or a trapezium . 37. A parallelogram is a quadrilateral which has both its pairs of opposite sides parallel . And it takes the following particular names , viz . rectangle ...
Page 294
... side of the least distance . 54. One line is perpendicular to another , when it inclines not more on the one side than the other , or when the angles on both sides of it are equal . 55. A line or circle is tangential , or is a tangent ...
... side of the least distance . 54. One line is perpendicular to another , when it inclines not more on the one side than the other , or when the angles on both sides of it are equal . 55. A line or circle is tangential , or is a tangent ...
Page 295
... sides of the figure touch the circumference of the circle . 68. One right - lined figure is inscribed in another , or the latter circumscribes the former , when all the angular points of the former are placed in the sides of the latter ...
... sides of the figure touch the circumference of the circle . 68. One right - lined figure is inscribed in another , or the latter circumscribes the former , when all the angular points of the former are placed in the sides of the latter ...
Page 296
... sides and the included angle in the one , equal to two sides and the included angle in the other , the triangles will be identical , or equal in all respects . In the two triangles ABC , DEF , if the side AC be equal to the side DF , and ...
... sides and the included angle in the one , equal to two sides and the included angle in the other , the triangles will be identical , or equal in all respects . In the two triangles ABC , DEF , if the side AC be equal to the side DF , and ...
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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