Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 sider |
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Side 32
... tangent en- tirely without the circle . 2 , 16. ) ( Euc . III . Let AOB be any sector of a circle . From centre 0 , within the angle AOB , draw any straight line cutting the chord AB in L , the arc AB in M , the tangent AP in N. L ...
... tangent en- tirely without the circle . 2 , 16. ) ( Euc . III . Let AOB be any sector of a circle . From centre 0 , within the angle AOB , draw any straight line cutting the chord AB in L , the arc AB in M , the tangent AP in N. L ...
Side 33
... tangents , AN and MQ < tangent AP . N M L A Now , the bent line AMB has more points in common with the arc AB than the straight line AB . And , the two lines AN , MQ have more points in common with the arc AB than the single line AP ...
... tangents , AN and MQ < tangent AP . N M L A Now , the bent line AMB has more points in common with the arc AB than the straight line AB . And , the two lines AN , MQ have more points in common with the arc AB than the single line AP ...
Side 34
... tangents AP , BQ , CR , & c . to meet the succeeding radii . We shall refer to and and BL , CM , & c . as the Internal Perpendiculars , AP , BQ , & c . as the External Perpendiculars . And to triangles OAB , OBC , & c . as the Internal ...
... tangents AP , BQ , CR , & c . to meet the succeeding radii . We shall refer to and and BL , CM , & c . as the Internal Perpendiculars , AP , BQ , & c . as the External Perpendiculars . And to triangles OAB , OBC , & c . as the Internal ...
Side 41
... Tangent = 4. Co - tangent = base perp . 5 . Secant = hyp . base hyp . 6 . Co - secant - perp . 72. The following observations will aid the student in learning these definitions . ( 1 ) We will call the Sine , Tangent , and Secant the ...
... Tangent = 4. Co - tangent = base perp . 5 . Secant = hyp . base hyp . 6 . Co - secant - perp . 72. The following observations will aid the student in learning these definitions . ( 1 ) We will call the Sine , Tangent , and Secant the ...
Side 43
... tangent will be true of the cotangent ; and those about the secant will be true of the cosecant . The next article will illustrate this statement . Fundamental relations of Inequality between the ratios of any one AND THEIR FUNDAMENTAL ...
... tangent will be true of the cotangent ; and those about the secant will be true of the cosecant . The next article will illustrate this statement . Fundamental relations of Inequality between the ratios of any one AND THEIR FUNDAMENTAL ...
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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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