Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 sider |
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Side 18
... finite number gives a quantity greater than the greater . Thus , an inch and a mile are commensurate ; but the space occupied by an atom and that occupied by the Solar System are practically in- commensurate . Two homogeneous ...
... finite number gives a quantity greater than the greater . Thus , an inch and a mile are commensurate ; but the space occupied by an atom and that occupied by the Solar System are practically in- commensurate . Two homogeneous ...
Side 19
... finite : they are commensurable , when their ratio is measured by a fraction with finite integral numerator and denominator . 33. A quantity of any kind is measured by assigning the ratio it bears to some known quantity of the same kind ...
... finite : they are commensurable , when their ratio is measured by a fraction with finite integral numerator and denominator . 33. A quantity of any kind is measured by assigning the ratio it bears to some known quantity of the same kind ...
Side 28
... finite numerator and denominator . In other words the circum- ference and diameter of a circle are incommensurable . The value of π as far as the first 8 decimal places is 3.14159265 ... Thus , if we use this value for in determining ...
... finite numerator and denominator . In other words the circum- ference and diameter of a circle are incommensurable . The value of π as far as the first 8 decimal places is 3.14159265 ... Thus , if we use this value for in determining ...
Side 68
... finite equal lengths is unity : — = 1 . The ratio of zero to any finite length is zero : 0 f The ratio of any finite length to zero is infinity : = f f f [ For a fraction varies in the same direction as its numerator , but in the ...
... finite equal lengths is unity : — = 1 . The ratio of zero to any finite length is zero : 0 f The ratio of any finite length to zero is infinity : = f f f [ For a fraction varies in the same direction as its numerator , but in the ...
Side 184
... finite integral numerator and denominator is called an Irrational or Incommensurable * number . Thus , 3 / 2197-13 and is , therefore , rational . But 2-1-414 & c . , cannot be exactly evaluated , and is therefore irrational . Laws ...
... finite integral numerator and denominator is called an Irrational or Incommensurable * number . Thus , 3 / 2197-13 and is , therefore , rational . But 2-1-414 & c . , cannot be exactly evaluated , and is therefore irrational . Laws ...
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acute angle algebraically antiparallels b₁ base bisector bisects Brocard Circle Brocard Points centre circular measure circumcentre circumcircle circumradius convergent cos² cos³ cosec cosh cosine cot² cotangent decimal difference directed length distance equal equation escribed circles Example expressed factors final line finite formulæ fraction Given log Hence hypothenuse inscribed integral last article Lemoine Circle limit logarithms magnitude middle point multiple nine-points nine-points circle obtuse opposite orthocentre perp perpendicular positive or negative PROP prove quadrant quantity radius ratios respectively right-angle root S₁ S₂ sec² secant sides sin² sin³ sine sinh subtend subtraction tan-¹ tan² tangent theorem triangle trigonometrical unity values zero
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