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 64
... continued in the same way . Instead of the descending denominations below the units , tenths , hundredths , thousandths , & c . the terms , parts or primes , seconds , thirds , & c . descending successively below the inch , are employed ...
... continued in the same way . Instead of the descending denominations below the units , tenths , hundredths , thousandths , & c . the terms , parts or primes , seconds , thirds , & c . descending successively below the inch , are employed ...
Page 67
... continued into decimals at pleasure , by adding any number of periods of ciphers , two in each period . EXAMPLES . 1. To find the square root of 29506624 . 29506624 ( 5432 the root . 25 104 450 416 1083 | 3466 3 10862 3249 21724 21724 ...
... continued into decimals at pleasure , by adding any number of periods of ciphers , two in each period . EXAMPLES . 1. To find the square root of 29506624 . 29506624 ( 5432 the root . 25 104 450 416 1083 | 3466 3 10862 3249 21724 21724 ...
Page 75
... arises from the incom- mensurability of numbers ; but this difficulty is not encountered in Euclid's method of treating Proportion is distinguished into Continued and Discontinued . When the OF RATIOS , PROPORTIONS , & c . 75.
... arises from the incom- mensurability of numbers ; but this difficulty is not encountered in Euclid's method of treating Proportion is distinguished into Continued and Discontinued . When the OF RATIOS , PROPORTIONS , & c . 75.
Page 76
... Continued , and the numbers themselves make a series of Continued Proportionals , or a progression . So , 2 , 4 , 6 , 8 , form an arithmetical progression , because 4 ā 2 = 6 ā4 = 86 = 2 , all the same common difference ; and 2 , 4 ...
... Continued , and the numbers themselves make a series of Continued Proportionals , or a progression . So , 2 , 4 , 6 , 8 , form an arithmetical progression , because 4 ā 2 = 6 ā4 = 86 = 2 , all the same common difference ; and 2 , 4 ...
Page 84
... continued for different times . RULE . Multiply each person's stock by the time of its continuance ; then divide the quantity , as in Single Fellowship , into shares , in proportion to these products , by saying , As the total sum of ...
... continued for different times . RULE . Multiply each person's stock by the time of its continuance ; then divide the quantity , as in Single Fellowship , into shares , in proportion to these products , by saying , As the total sum of ...
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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