Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 sider |
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Side 21
... plane of a straight line about one of its extremities which remains fixed . The fixed extremity is called the centre ; the moving extremity traces out the circumference . Any part of the circumference is called an arc ; and any part of ...
... plane of a straight line about one of its extremities which remains fixed . The fixed extremity is called the centre ; the moving extremity traces out the circumference . Any part of the circumference is called an arc ; and any part of ...
Side 113
... plane by the line joining the eye to an object is called its angle of elevation [ or , briefly , its elevation ] when it is above the observer ; its angle of depression [ or , briefly , its depression ] when it is below the observer ...
... plane by the line joining the eye to an object is called its angle of elevation [ or , briefly , its elevation ] when it is above the observer ; its angle of depression [ or , briefly , its depression ] when it is below the observer ...
Side 115
... plane . At A and B measure the angles of elevation NAP , NBP . Then the angle PBA is the supplement of NBP . ( 2 ) Suppose ABN not to be a straight line . At A measure the angles NAP , BAP ; and at B measure the angle PBA . Then , both ...
... plane . At A and B measure the angles of elevation NAP , NBP . Then the angle PBA is the supplement of NBP . ( 2 ) Suppose ABN not to be a straight line . At A measure the angles NAP , BAP ; and at B measure the angle PBA . Then , both ...
Side 116
... plane , it is often useful to employ a figure in which , for points not in the observer's horizontal plane , are substituted the feet of the perpendiculars from them on that plane . Thus , if P is any point not in the horizontal plane ...
... plane , it is often useful to employ a figure in which , for points not in the observer's horizontal plane , are substituted the feet of the perpendiculars from them on that plane . Thus , if P is any point not in the horizontal plane ...
Side 118
... plane ABP is vertical . Show that the height of P above the horizontal plane through AB is с cot a ~ cot B 9. At two points A and B , at a distance c apart , the angles of elevation of an object P are observed to be a and ẞ respectively ...
... plane ABP is vertical . Show that the height of P above the horizontal plane through AB is с cot a ~ cot B 9. At two points A and B , at a distance c apart , the angles of elevation of an object P are observed to be a and ẞ respectively ...
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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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