Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 páginas |
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Página v
... respectively , Geo- metrical and Algebraical . In the first , Geometrical appli- cations and methods are prominent ; in the second , the purely theoretical and analytical side is developed . The first part culminates in the properties ...
... respectively , Geo- metrical and Algebraical . In the first , Geometrical appli- cations and methods are prominent ; in the second , the purely theoretical and analytical side is developed . The first part culminates in the properties ...
Página 2
... respectively , in the order in which the revolver passes through them . 4. To every Geometrical angle ( see Fig . of Art . 1 ) there corre- sponds an indefinite number of Trigonometrical angles . For there is an indefinite number of ...
... respectively , in the order in which the revolver passes through them . 4. To every Geometrical angle ( see Fig . of Art . 1 ) there corre- sponds an indefinite number of Trigonometrical angles . For there is an indefinite number of ...
Página 3
... respectively , of any particular revolution considered . The letters I and F will be used to indicate the initial and final lines bounding any angle . 6. From the above it follows that , whereas every Geometrical angle is [ properly ] ...
... respectively , of any particular revolution considered . The letters I and F will be used to indicate the initial and final lines bounding any angle . 6. From the above it follows that , whereas every Geometrical angle is [ properly ] ...
Página 13
... respectively , to the four propo- sitions 4 , 5 , 6 , 7 of Book VI . in which the similarity of two triangles is shown . Case I. Two angles given equal . Euc . VI . 4 . Case II . Three sides given proportional . Euc . VI . 5 . Case III ...
... respectively , to the four propo- sitions 4 , 5 , 6 , 7 of Book VI . in which the similarity of two triangles is shown . Case I. Two angles given equal . Euc . VI . 4 . Case II . Three sides given proportional . Euc . VI . 5 . Case III ...
Página 14
... respectively , .. a2 = b2 + c2 . By this equation , we can find any one side of a right - angled triangle when the other two are given . Example 1. The sides of a right - angled triangle are 5 ft . and 12 ft . respectively , find the ...
... respectively , .. a2 = b2 + c2 . By this equation , we can find any one side of a right - angled triangle when the other two are given . Example 1. The sides of a right - angled triangle are 5 ft . and 12 ft . respectively , find the ...
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Términos y frases comunes
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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