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 T as far as the first 8 decimal places is 3.14159265 ... Thus , if we use this value for π in determining ...
... finite numerator and denominator . In other words the circum- ference and diameter of a circle are incommensurable . The value of T as far as the first 8 decimal places is 3.14159265 ... Thus , if we use this value for π in determining ...
Side 68
... finite equal lengths is unity : The ratio of zero to any finite length is zero : 0 The ratio of any finite length to zero is infinity : = f f 0 . f = 1 . = ∞ , M ס [ For a fraction varies in the same direction as its numerator , but in ...
... finite equal lengths is unity : The ratio of zero to any finite length is zero : 0 The ratio of any finite length to zero is infinity : = f f 0 . f = 1 . = ∞ , M ס [ For a fraction varies in the same direction as its numerator , but in ...
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 angle AOB antiparallel base bisector bisects Brocard Brocard Circle Brocard Points centre chord circular measure circumcircle circumference circumradius convergent cos² cos³ cosec cosh cosine cot² cotangent decimal diameter difference directed length equal equation escribed circles Example expressed factors figure final line finite formulæ greater Hence hypothenuse inscribed integral last article Lemoine Circle logarithms magnitude middle point multiple negative nine-points circle obtuse opposite perp perpendicular positive PROP prove quadrant quantity radian radii radius ratios respectively revolver right-angled triangle S₁ sec² secant sector sides sin² sin³ sine sinh subtend subtraction tan-¹ tan² tangent theorem trigonometrical angle values zero
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