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 17
... right angled triangle , the hypothenuse is to one of the legs , as the radius to the sine of the angle opposite to ... right - angled at B , and let AR on the leg AB , be the ra- dius of the tables . With centre A and radius AR ...
... right angled triangle , the hypothenuse is to one of the legs , as the radius to the sine of the angle opposite to ... right - angled at B , and let AR on the leg AB , be the ra- dius of the tables . With centre A and radius AR ...
Página 33
... RIGHT ANGLED PLANE TRIANGLES . 12. 1. Right angled triangles € 5 Solution of its Three Cases . 33.
... RIGHT ANGLED PLANE TRIANGLES . 12. 1. Right angled triangles € 5 Solution of its Three Cases . 33.
Página 34
... RIGHT ANGLED PLANE TRIANGLES . 12. 1. Right angled triangles may , as well as others , be solved by means of the rule to the respective case under which any specified example falls : and it will then be found , since a right angle is ...
... RIGHT ANGLED PLANE TRIANGLES . 12. 1. Right angled triangles may , as well as others , be solved by means of the rule to the respective case under which any specified example falls : and it will then be found , since a right angle is ...
Página 35
... ) . ( 25-24 ) = 7 , perp . base 7 1.75 24 = = ' 2916666 = tan 16 ° 15 ′ 37 ′′ , angle 6 - at the base ; whence 90 ° — 16 ° 15 ′ 37 ′′ = 73 ° 44 ′ 23 ′′ , ́ angle at vertex . base Or , - perp . = 24 - 7 Right angled Plane Triangles . 35.
... ) . ( 25-24 ) = 7 , perp . base 7 1.75 24 = = ' 2916666 = tan 16 ° 15 ′ 37 ′′ , angle 6 - at the base ; whence 90 ° — 16 ° 15 ′ 37 ′′ = 73 ° 44 ′ 23 ′′ , ́ angle at vertex . base Or , - perp . = 24 - 7 Right angled Plane Triangles . 35.
Página 36
... right angled triangle , given a leg and its opposite angle 384 , and 53 ° 8 ' respectively ; to find the other leg and the hypothenuse . Ans . Leg 280 , hypothenuse 480 . Ex . 3. In a right angled triangle are given the base 195 , its ...
... right angled triangle , given a leg and its opposite angle 384 , and 53 ° 8 ' respectively ; to find the other leg and the hypothenuse . Ans . Leg 280 , hypothenuse 480 . Ex . 3. In a right angled triangle are given the base 195 , its ...
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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