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 iii
... greater changes were introduced than had been made in the work since its first composition ; and he did me the honor , soon after my appointment to this Institution , to request me to make the greater part of those altera- tions , under ...
... greater changes were introduced than had been made in the work since its first composition ; and he did me the honor , soon after my appointment to this Institution , to request me to make the greater part of those altera- tions , under ...
Page 5
... greater dimi- nishes its value . A less character after a greater increases its value . 50 L 100 c 500 D or 10 1000 M NOTATION AND NUMERATION . 5.
... greater dimi- nishes its value . A less character after a greater increases its value . 50 L 100 c 500 D or 10 1000 M NOTATION AND NUMERATION . 5.
Page 8
... greater . The method of doing which is as follows : Place the less number under the greater , in the same manner as in Addition , that is , units under units , tens under tens , and so on ; and draw a line below them . Begin at the ...
... greater . The method of doing which is as follows : Place the less number under the greater , in the same manner as in Addition , that is , units under units , tens under tens , and so on ; and draw a line below them . Begin at the ...
Page 9
... greater or uppermost number , the work is right * . EXAMPLES . 1 . 2 . From 5386427 Take 2164315 From 5386427 Take 4258792 3 . From 1234567 Take 702973 Rem . 3222112 Rem . 1127635 Rem . 531594 Proof 5386427 Proof 5386427 Proof 1234567 ...
... greater or uppermost number , the work is right * . EXAMPLES . 1 . 2 . From 5386427 Take 2164315 From 5386427 Take 4258792 3 . From 1234567 Take 702973 Rem . 3222112 Rem . 1127635 Rem . 531594 Proof 5386427 Proof 5386427 Proof 1234567 ...
Page 13
... greater than 12 , may be expeditiously performed , by multiplying and subtracting mentally , omitting to set down the work except only the quotient immediately below the dividend . Dividend , Divisor 4 ) 12 ( 3 Quotient ; DIVISION . 15.
... greater than 12 , may be expeditiously performed , by multiplying and subtracting mentally , omitting to set down the work except only the quotient immediately below the dividend . Dividend , Divisor 4 ) 12 ( 3 Quotient ; DIVISION . 15.
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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