Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 páginas |
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Página 1
... equal if the pair of lines— supposed to be rigidly connected — which bound one angle may be superposed exactly on the pair of lines which bound the other angle . Thus , in the accompanying figure , the acute angles A and B are equal ...
... equal if the pair of lines— supposed to be rigidly connected — which bound one angle may be superposed exactly on the pair of lines which bound the other angle . Thus , in the accompanying figure , the acute angles A and B are equal ...
Página 3
... equal , but the spirals indicate in each case different amounts of revolution . Similarly as regards the four obtuse ... equal , if the geo- metrical angles into which the one may be divided are equal , each to each , to those into which ...
... equal , but the spirals indicate in each case different amounts of revolution . Similarly as regards the four obtuse ... equal , if the geo- metrical angles into which the one may be divided are equal , each to each , to those into which ...
Página 9
... equal to AP ; and let AD contain n parts , each equal to AQ . From the points of division draw lines parallel to the sides of the rectangle . Q A P C B Then the whole rectangle ABCD is divided into small rect- angles the adjacent sides ...
... equal to AP ; and let AD contain n parts , each equal to AQ . From the points of division draw lines parallel to the sides of the rectangle . Q A P C B Then the whole rectangle ABCD is divided into small rect- angles the adjacent sides ...
Página 11
... equal measures of its adjacent sides . It might be supposed that this explains the identity of names in Algebra and ... equal numbers . If , e . g . , the unit of area had been a triangle whose base and altitude were equal , then any ...
... equal measures of its adjacent sides . It might be supposed that this explains the identity of names in Algebra and ... equal numbers . If , e . g . , the unit of area had been a triangle whose base and altitude were equal , then any ...
Página 12
... equal to the angle DEF , opposite to DF . The angles ACB , DFE opposite the other equal sides AB , DE shall be either equal or supplementary . ( i ) If EF and BC are equal , then , by Euc . I. 4 , the triangles ABC , DEF are equal in ...
... equal to the angle DEF , opposite to DF . The angles ACB , DFE opposite the other equal sides AB , DE shall be either equal or supplementary . ( i ) If EF and BC are equal , then , by Euc . I. 4 , the triangles ABC , DEF are equal in ...
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Términos y frases comunes
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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