Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 sider |
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Side xiii
... Directed Magnitudes . · Directed lengths , angles , and areas 294 , 295. Algebraical representation of these 296–299 . Dependent signs . Signs in Multiplication 300 . 301-306 . § 2. Application to Trigonometrical Ratios . Extended ...
... Directed Magnitudes . · Directed lengths , angles , and areas 294 , 295. Algebraical representation of these 296–299 . Dependent signs . Signs in Multiplication 300 . 301-306 . § 2. Application to Trigonometrical Ratios . Extended ...
Side 117
... a house , whose direction hr . ago made an angle of 45 ° with the road , is now directed at an angle of 75 ° . Find how long he will take EXAMPLES VIII . 117 175–181 Practical application of Formulæ EXAMPLES VIII 113-117 117-121.
... a house , whose direction hr . ago made an angle of 45 ° with the road , is now directed at an angle of 75 ° . Find how long he will take EXAMPLES VIII . 117 175–181 Practical application of Formulæ EXAMPLES VIII 113-117 117-121.
Side 216
... DIRECTED MAGNITUDES . 285. LET L and M be two points in a line : and let LM stand for the length of the part of the ... Directed Lengths . 286. Let us , then , use CHAPTER XII RATIOS OF ANGLES UNLIMITED IN SIGN AND MAGNITUDE Directed ...
... DIRECTED MAGNITUDES . 285. LET L and M be two points in a line : and let LM stand for the length of the part of the ... Directed Lengths . 286. Let us , then , use CHAPTER XII RATIOS OF ANGLES UNLIMITED IN SIGN AND MAGNITUDE Directed ...
Side 217
... directed lengths is explained by the following rules of interpretation . To interpret any expression in which directed lengths in the same line are connected by the signs + or - . Rule I. When the lengths are all directed the same way ...
... directed lengths is explained by the following rules of interpretation . To interpret any expression in which directed lengths in the same line are connected by the signs + or - . Rule I. When the lengths are all directed the same way ...
Side 218
... is equivalent to its subtraction is zero . Hence ( MM ) = 0 . This , of course , only expresses the fact that the distance from M to M is nothing . Directed Angles . 292. Similarly , if OL , OM 218 RATIOS OF UNLIMITED ANGLES .
... is equivalent to its subtraction is zero . Hence ( MM ) = 0 . This , of course , only expresses the fact that the distance from M to M is nothing . Directed Angles . 292. Similarly , if OL , OM 218 RATIOS OF UNLIMITED ANGLES .
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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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