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 128
... diagonal series 1 + 2 -5 + 9 . Add the vertical column ā 6 + 2 , and with the result 4 , multiply all the terms of the divisor as before , giving the next diagonal series 8+ 20 36. Add the third column , and obtain the result + 7 ; and ...
... diagonal series 1 + 2 -5 + 9 . Add the vertical column ā 6 + 2 , and with the result 4 , multiply all the terms of the divisor as before , giving the next diagonal series 8+ 20 36. Add the third column , and obtain the result + 7 ; and ...
Page 130
... diagonal columns , the several products of the coefficients of the modified divisor by the successive quotient figures , may be themselves set down in diagonal columns : thus , instead of 1-6 +20 2 - 40 + 50 8 +14 - 40 + 50 - 40 6+ 20 ...
... diagonal columns , the several products of the coefficients of the modified divisor by the successive quotient figures , may be themselves set down in diagonal columns : thus , instead of 1-6 +20 2 - 40 + 50 8 +14 - 40 + 50 - 40 6+ 20 ...
Page 293
... diagonal is a line joining any two opposite angles of a quadrilateral , or of any other right lined figure . 45. Plane figures that have more than four sides are , in general , called poly- gons ; and they receive other particular names ...
... diagonal is a line joining any two opposite angles of a quadrilateral , or of any other right lined figure . 45. Plane figures that have more than four sides are , in general , called poly- gons ; and they receive other particular names ...
Page 303
... diagonal AC be drawn , dividing the quadrangle into two triangles , ABC , ADC . Then , because the sum of the three angles of each of these triangles is equal to two right angles ( th . 17 ) ; it follows , that the sum of all the angles ...
... diagonal AC be drawn , dividing the quadrangle into two triangles , ABC , ADC . Then , because the sum of the three angles of each of these triangles is equal to two right angles ( th . 17 ) ; it follows , that the sum of all the angles ...
Page 305
... diagonal divides it into two equal triangles . LET ABCD be a parallelogram , of which the diagonal is BD ; then will its opposite sides and angles be equal to each other , and the diagonal BD will divide it into two equal parts , or ...
... diagonal divides it into two equal triangles . LET ABCD be a parallelogram , of which the diagonal is BD ; then will its opposite sides and angles be equal to each other , and the diagonal BD will divide it into two equal parts , or ...
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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 uā vulgar fraction Whence