Trigonometry for Beginners with Numerous ExamplesMacmillan, 1868 - 200 σελίδες |
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Σελίδα 89
... problem in the next Article is of practical importance for military and other purposes . It may be necessary to know the distance of a station from some in- accessible objects ; by the aid of a good map the distances of three prominent ...
... problem in the next Article is of practical importance for military and other purposes . It may be necessary to know the distance of a station from some in- accessible objects ; by the aid of a good map the distances of three prominent ...
Σελίδα 91
... problems the di- rections of straight lines are indicated by the terms used in the Mariner's Compass , which we will now explain . NbvW N.N.W NWby N N.W N.Wbw W.N.W W- Wbys W.S.W S.Wbyw S.W S.WbyS S.S.W NbyE N.N.E s byw N.EUN N.E N.EbyE ...
... problems the di- rections of straight lines are indicated by the terms used in the Mariner's Compass , which we will now explain . NbvW N.N.W NWby N N.W N.Wbw W.N.W W- Wbys W.S.W S.Wbyw S.W S.WbyS S.S.W NbyE N.N.E s byw N.EUN N.E N.EbyE ...
Σελίδα 92
... 0A = OA ( sec 0-1 ) = - OA ( 1- cos 0 ) cos 9 AP sin PB OB tan 0 : AP cos 0 = tan 0 = 1- cos 0 1 - cos 0 = = AP cot 2 ' by Art . 35 . These relations are useful in solving problems relating to the 92 HEIGHTS AND DISTANCES .
... 0A = OA ( sec 0-1 ) = - OA ( 1- cos 0 ) cos 9 AP sin PB OB tan 0 : AP cos 0 = tan 0 = 1- cos 0 1 - cos 0 = = AP cot 2 ' by Art . 35 . These relations are useful in solving problems relating to the 92 HEIGHTS AND DISTANCES .
Σελίδα 93
... problems of heights and distances : in such cases the spec- tator is supposed to be at a point P above the surface of the earth , and the angle of depression of any point is the angle between the straight line PC and the straight line ...
... problems of heights and distances : in such cases the spec- tator is supposed to be at a point P above the surface of the earth , and the angle of depression of any point is the angle between the straight line PC and the straight line ...
Σελίδα 99
... Problems . 124. To construct an angle with a given sine or cosine . Suppose we require an angle the sine of which is a given quantity a . Ө B Describe a circle with unity for its diameter , and draw any diameter AB of this circle . With ...
... Problems . 124. To construct an angle with a given sine or cosine . Suppose we require an angle the sine of which is a given quantity a . Ө B Describe a circle with unity for its diameter , and draw any diameter AB of this circle . With ...
Άλλες εκδόσεις - Προβολή όλων
Trigonometry for Beginners, with Numerous Examples Isaac Todhunter Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2010 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A-sin A+B+C Algebra angle increases angle PAB angles in terms angles included AP coincides AP moves Arithmetical Arithmetical Progression B-cos Cambridge centre circle circular measure circumference cloth cos² cos³ cosec cosine cotangent Crown 8vo decreases numerically determine distance draw PM perpendicular ELEMENTARY Euclid example expression Fcap feet figure find log find the height formulæ four right angles given angle Given log Hence hypotenuse increases from 180 inverse notation L sin logarithm Mathematical multiple of four negative and decreases number of degrees observe the angle opposite side plane positive angle preceding Article present Chapter quadrant PM regular polygon right-angled triangle sec² secant Second Edition shew sin A sin sin A+ sin sin sin sin² sin³ sine student suppose Tables tangent TREATISE Trigono Trigonometrical Ratios vers yards zero ОР
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