A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1Gilberte and Rivington, 1841 - Mathematics |
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Page v
... ratio is put altogether in a new and , I persuade myself , a perfectly logical form ; and the theorems depending on ratio are changed in their manner of demonstration , to be in accordance with the same principles . A few theorems of ...
... ratio is put altogether in a new and , I persuade myself , a perfectly logical form ; and the theorems depending on ratio are changed in their manner of demonstration , to be in accordance with the same principles . A few theorems of ...
Page vii
... ratios ... 75 79 Arithmetical progression 76 80 neous Geometrical progression 79 82 Harmonical progression 82 85 Single fellowship Double fellowship .. Simple interest Compound interest 83 86 84 88 85 89 88 91 Allegation , medial 89 92 ...
... ratios ... 75 79 Arithmetical progression 76 80 neous Geometrical progression 79 82 Harmonical progression 82 85 Single fellowship Double fellowship .. Simple interest Compound interest 83 86 84 88 85 89 88 91 Allegation , medial 89 92 ...
Page viii
... ratio ........ 296 292 Painters ' 514 459 Ratios and proportions 322 317 Glaziers ' 515 460 Definitions 322 317 Pavers ' 515 460 Principle employed ( note ) 323 Theorems depending on ratio ... 324 320 Theorems depending on ratio ...
... ratio ........ 296 292 Painters ' 514 459 Ratios and proportions 322 317 Glaziers ' 515 460 Definitions 322 317 Pavers ' 515 460 Principle employed ( note ) 323 Theorems depending on ratio ... 324 320 Theorems depending on ratio ...
Page 37
... ratio , as Mr. Bonnycastle has done , we should put the term which is of the same kind with the answer in the third place instead of the second . It is not , however , with concrete but with abstract numbers that we work ; and , hence ...
... ratio , as Mr. Bonnycastle has done , we should put the term which is of the same kind with the answer in the third place instead of the second . It is not , however , with concrete but with abstract numbers that we work ; and , hence ...
Page 75
... Ratio : the other con- siders their quotient , which is called Geometrical Relation ; and the quotient expresses the Geometrical Ratio . So , of these two numbers , 6 and 3 , the dif- ference , or arithmetical ratio is 6 3 or 3 , but ...
... Ratio : the other con- siders their quotient , which is called Geometrical Relation ; and the quotient expresses the Geometrical Ratio . So , of these two numbers , 6 and 3 , the dif- ference , or arithmetical ratio is 6 3 or 3 , but ...
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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