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 293
... 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 , square , rhombus , rhomboid . 38. A rectangle is a parallelogram ...
... 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 , square , rhombus , rhomboid . 38. A rectangle is a parallelogram ...
Page 307
... trapezium having two sides parallel , is equal to half a parallelogram , whose base is the sum of those two sides , and its altitude the perpendicular dis- tance between them . с H LET ABCD - be the trapezoid , having its two sides AB ...
... trapezium having two sides parallel , is equal to half a parallelogram , whose base is the sum of those two sides , and its altitude the perpendicular dis- tance between them . с H LET ABCD - be the trapezoid , having its two sides AB ...
Page 344
... trapezium , and its ratio to the trapezium . 21. Determine the figure formed by joining the points where the diagonals of the trapezium cut the parallelogram ( in the last problem ) , and its ratio to the trapezium . 22. If the sides of ...
... trapezium , and its ratio to the trapezium . 21. Determine the figure formed by joining the points where the diagonals of the trapezium cut the parallelogram ( in the last problem ) , and its ratio to the trapezium . 22. If the sides of ...
Page 472
... trapezium and their angle of intersection are given . Let ABCD be the quadrilateral figure or trapezium , of which the diagonals AC , BD , and their angle K of intersection are given . E Through A , B , C , D draw lines parallel to the ...
... trapezium and their angle of intersection are given . Let ABCD be the quadrilateral figure or trapezium , of which the diagonals AC , BD , and their angle K of intersection are given . E Through A , B , C , D draw lines parallel to the ...
Page 473
... trapezium ABCD ; and LG = BE + FD , and LK = AC . Whence trapez ABCD = { par LH = ¦ LK.LG = { AC ( BE + FD ) . G A E C L Scholium . If a , b , c , d be the four sides of a trapezoïd , which has the oppo- site sides a and c parallel ...
... trapezium ABCD ; and LG = BE + FD , and LK = AC . Whence trapez ABCD = { par LH = ¦ LK.LG = { AC ( BE + FD ) . G A E C L Scholium . If a , b , c , d be the four sides of a trapezoïd , which has the oppo- site sides a and c parallel ...
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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