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 xi
... lines and angles of circles and plane triangles III . Solutions of the several cases of plane tri- angles · Page 1 9 24 36 • 61 IV ... Right angled spherical triangles 86 Sect . 3. Oblique angled ditto . Sect ... line 4 , for 4 CONTENTS .
... lines and angles of circles and plane triangles III . Solutions of the several cases of plane tri- angles · Page 1 9 24 36 • 61 IV ... Right angled spherical triangles 86 Sect . 3. Oblique angled ditto . Sect ... line 4 , for 4 CONTENTS .
Página 2
... line , the radius of a certain circle ; and lines which at the same time depend altogether , for their value , upon ... right angled triangles . Thus , as- suming for a term of comparison , the hypothenuse of a right angled triangle ...
... line , the radius of a certain circle ; and lines which at the same time depend altogether , for their value , upon ... right angled triangles . Thus , as- suming for a term of comparison , the hypothenuse of a right angled triangle ...
Página 5
... right line which touches it in one extremity , and is limited by a right line drawn from the centre of the circle through the other extre- mity . 16. The secant of an arc is the sloping line which thus limits the tangent . 17. These are ...
... right line which touches it in one extremity , and is limited by a right line drawn from the centre of the circle through the other extre- mity . 16. The secant of an arc is the sloping line which thus limits the tangent . 17. These are ...
Página 6
... right line AB is less than any curve line terminated by the same points , and the perpendicular BD less than the 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 ...
... right line AB is less than any curve line terminated by the same points , and the perpendicular BD less than the 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 ...
Página 27
... right line , set off , from a convenient diagonal scale , the distance AB = 408. From the point a draw a right line AC , to make with AB an angle of 58 ° 7 ′ ; and from A C the point в another line , turned towards the former , and to ...
... right line , set off , from a convenient diagonal scale , the distance AB = 408. From the point a draw a right line AC , to make with AB an angle of 58 ° 7 ′ ; and from A C the point в another line , turned towards the former , and to ...
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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