A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 7
... cipher or nothing , These characters or figures were formerly all called by the general name of Ciphers ; whence it came to pass that the art of Arithmetic was then often called Ciphering . Also the first nine are called Significant ...
... cipher or nothing , These characters or figures were formerly all called by the general name of Ciphers ; whence it came to pass that the art of Arithmetic was then often called Ciphering . Also the first nine are called Significant ...
Page 7
... cipher 0 , it stands for nothing of itself , but being joined on th hand side to other figures , it increases their value in the same tenfold prop thus , 5 signifies only five ; but 50 denotes 5 tens , or fifty ; and 500 is fi dred ...
... cipher 0 , it stands for nothing of itself , but being joined on th hand side to other figures , it increases their value in the same tenfold prop thus , 5 signifies only five ; but 50 denotes 5 tens , or fifty ; and 500 is fi dred ...
Page 7
... cipher , and carry as many ones to the next row as there are tens . Next add up the second row , together with the number carried , in the same manner as the first . And thus proceed till the whole is finished , setting down the total ...
... cipher , and carry as many ones to the next row as there are tens . Next add up the second row , together with the number carried , in the same manner as the first . And thus proceed till the whole is finished , setting down the total ...
Page 8
... cipher . — Ca many units or ones , as there are tens counted , to the product of the next f and proceed in the same manner till the whole is finished . EXAMPLE . Multiply 9876543210 By 2 19753086420 Multiplicand . Multiplier . Product ...
... cipher . — Ca many units or ones , as there are tens counted , to the product of the next f and proceed in the same manner till the whole is finished . EXAMPLE . Multiply 9876543210 By 2 19753086420 Multiplicand . Multiplier . Product ...
Page 8
... cipher . — Carry as many units or ones , as there are tens counted , to the product of the next figures , and proceed in the same manner till the whole is finished . EXAMPLE . Multiply 9876543210 By ................... 2 Multiplicand ...
... cipher . — Carry as many units or ones , as there are tens counted , to the product of the next figures , and proceed in the same manner till the whole is finished . EXAMPLE . Multiply 9876543210 By ................... 2 Multiplicand ...
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Other editions - View all
A Course of Mathematics: Composed for the Use of the Royal Military Academy Charles Hutton No preview available - 2015 |
A Course of Mathematics, Vol. 3: Composed for the Use of the Royal Military ... Charles Hutton No preview available - 2016 |
A Course of Mathematics, Vol. 3: Composed for the Use of the Royal Military ... Charles Hutton No preview available - 2018 |
Common terms and phrases
algebraic algebraic quantities axis binomial Binomial Theorem bisected centre circle circumference coefficient Completing the square contained Corol cosec cube root decimal degree denote diameter difference distance Divide dividend division divisor draw equal Example exponent expression extract factors feet figure fraction gives greater greatest common measure Hence inches least common multiple letters logarithm manner monomial multiplied negative nth root number of terms parallel parallelogram perfect square perpendicular plane polynomial positive Prob problem Prop proportional proposed equation quadratic quotient radical radius ratio rectangle reduce remainder result right angles rule second term sides sine square root straight line Substituting subtract tangent THEOREM triangle ABC unknown quantity VULGAR FRACTIONS Whence whole number yards
Popular passages
Page 332 - EC, have also the same altitude ; and because triangles of the same altitude are to each other as their bases, therefore the triangle ADE : BDE : : AD : DB, and triangle ADE : CDE : : AE : EC.
Page 352 - angle in a segment' is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment.
Page 326 - Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio.
Page 17 - OF TIME. 60 Seconds = 1 Minute. 60 Minutes = 1 Hour. 24 Hours = 1 Day. 7 Days = 1 Week. 28 Days = 1 Lunar Month.
Page 338 - CD. conseconsequently the whole polygon, or all the triangles added together which compose it, is equal to the- rectangle of the common altitude CD, and the halves of all the sides, or the half perimeter of the polygon. Now, conceive the number of sides of the polygon to be indefinitely increased ; then will its perimeter coincide with the circumference of the circle, and consequently the altitude CD will become equal to the radius, and the whole polygon equal to the circle. Consequently the space...
Page 297 - The Height or Altitude of a figure is a perpendicular let fall from an angle, or its vertex, to the opposite side, called the base.
Page 26 - Multiply the number in the lowest denomination by the multiplier, and find how many units of the next higher denomination are contained in the product, setting down ,what remains.
Page 62 - From these theorems may readily be found any one of these five parts ; the two extremes, the number of terms, the common difference, and the sum of all the terms, when any three of them are given, as in the following Problems : PROBLEM I.
Page 326 - Proportional, when the ratio of the first to the second, is equal to the ratio of the second to the third.
Page 62 - SUBTRACT the less extreme from the greater, and divide the difference by 1 more than the number of means required to be found...