Elements of Plane and Spherical Trigonometry: With Their Applications to Heights and Distances Projections of the Sphere, Dialling, Astronomy, the Solution of Equations, and Geodesic OperationsBaldwin, Cradock, and Joy, 1816 - 244 páginas |
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Página 2
... hypothenuse of a right angled triangle , equal to unity , for example , com- puting the bases and perpendiculars of all possible right " angled triangles having the assigned hypothenuse , and arranging them 2 Definitions and Principles .
... hypothenuse of a right angled triangle , equal to unity , for example , com- puting the bases and perpendiculars of all possible right " angled triangles having the assigned hypothenuse , and arranging them 2 Definitions and Principles .
Página 3
... hypothenuse , and arranging them in different columns of a table , the mag- nitudes of the different parts of any proposed triangle , would become determinable upon the known principles of similar triangles . Such a table as this ...
... hypothenuse , and arranging them in different columns of a table , the mag- nitudes of the different parts of any proposed triangle , would become determinable upon the known principles of similar triangles . Such a table as this ...
Página 6
... hypothenuse AB , of a right angled triangle ADB . ( B ) . The sine BD of an arc AB , is half the chord Br of the double arc BAF . ( c ) . An arc and its supplement have the same sine , tangent , and secant . ( The two latter , however ...
... hypothenuse AB , of a right angled triangle ADB . ( B ) . The sine BD of an arc AB , is half the chord Br of the double arc BAF . ( c ) . An arc and its supplement have the same sine , tangent , and secant . ( The two latter , however ...
Página 17
... hypothenuse as a radius , each leg is the sine of its opposite angle ; and to one of the legs as a radius , the other leg is the tangent of its opposite angle , and the hypothenuse is the secant of the same angle . PROP . XIV . 14. In ...
... hypothenuse as a radius , each leg is the sine of its opposite angle ; and to one of the legs as a radius , the other leg is the tangent of its opposite angle , and the hypothenuse is the secant of the same angle . PROP . XIV . 14. In ...
Página 36
... hypothenuse . Ans . Leg 280 , hypothenuse 480 . Ex . 3. In a right angled triangle are given the base 195 , its adjacent angle 47 ° 55 ' ; to find the rest . Ans . Perp . 216 , hyp . 291 , vert . ang . 42 ° 5 ' . CHAPTER IV . Plane ...
... hypothenuse . Ans . Leg 280 , hypothenuse 480 . Ex . 3. In a right angled triangle are given the base 195 , its adjacent angle 47 ° 55 ' ; to find the rest . Ans . Perp . 216 , hyp . 291 , vert . ang . 42 ° 5 ' . CHAPTER IV . Plane ...
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Términos y frases comunes
altitude angled spherical triangle azimuth base becomes bisect centre chap chord circle circle of latitude computation consequently cos² cosec cosine cotangent declination deduced determine dial diameter difference distance draw earth ecliptic equa equal equation Example find the rest formulæ given side h cos h half Hence horizon hour angle hypoth hypothenuse intersecting latitude logarithmic longitude measured meridian obliq oblique opposite angle parallel perpendicular plane angles plane triangle pole problem prop quadrant radius right angled spherical right angled triangle right ascension right line sec² secant sin A sin sin² sine solid angle sphere spherical excess spherical trigonometry star substyle sun's supposed surface tan² tangent theorem three angles three sides tion triangle ABC values versed sine versin vertical angle whence zenith