Elements of Geometry;: Containing the First Six Books of Euclid, with Two Books on the Geometry of Solids. To which are Added, Elements of Plane and Spherical TrigonometryBell & Bradfute, and G. G. & J. Robinson, London., 1795 - 400 páginas |
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Página 283
... radius . H L A D V. The fegment DA of the diameter paffing through A , one extremity of the arch AC , between the fine CD , and that extremity is called the Verfed fine of the arch AC , or of the angle ABC . U 2 VI . VI . A ftraight ...
... radius . H L A D V. The fegment DA of the diameter paffing through A , one extremity of the arch AC , between the fine CD , and that extremity is called the Verfed fine of the arch AC , or of the angle ABC . U 2 VI . VI . A ftraight ...
Página 284
... radius of the first arch is to the radius of the second . B OMD E Let AC , MN be measures of the angle ABC , according to Def . 1. CD the fine , DA the verfed fine , AE the tangent , and BE the fecant of the arch AC , according to def ...
... radius of the first arch is to the radius of the second . B OMD E Let AC , MN be measures of the angle ABC , according to Def . 1. CD the fine , DA the verfed fine , AE the tangent , and BE the fecant of the arch AC , according to def ...
Página 285
... radius , they will exhibit the ratios of the fines , tangents , & c . of the fame angles to any radius whatsoever . ن In fuch tables , which are called trigonometrical tables , the radius is either fuppofed 1 , or some number in the ...
... radius , they will exhibit the ratios of the fines , tangents , & c . of the fame angles to any radius whatsoever . ن In fuch tables , which are called trigonometrical tables , the radius is either fuppofed 1 , or some number in the ...
Página 286
... radius is a mean proportional between the tan- gent and co - tangent of any angle ABC . For , fince HK , BA are parallel , the angles HKB , ABC are equal , and KHB , BAE are right angles ; therefore the triangles BAE , KHB are fimilar ...
... radius is a mean proportional between the tan- gent and co - tangent of any angle ABC . For , fince HK , BA are parallel , the angles HKB , ABC are equal , and KHB , BAE are right angles ; therefore the triangles BAE , KHB are fimilar ...
Página 287
... radius , and EG the tangent of the angle C ; therefore , CA : AB :: R : tan . C. COR . I. As the radius to the fecant of the angle C , so the fide adjacent to that angle to the hypotenufe . For CG is the fecant of the angle C ( def . 7 ...
... radius , and EG the tangent of the angle C ; therefore , CA : AB :: R : tan . C. COR . I. As the radius to the fecant of the angle C , so the fide adjacent to that angle to the hypotenufe . For CG is the fecant of the angle C ( def . 7 ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Sin vista previa disponible - 2015 |
Términos y frases comunes
ABCD alfo alſo angle ABC angle ACB angle BAC arch bafe baſe BC is equal becauſe the angle bifected Book VII cafe centre circle ABC circumference co-fine cylinder defcribed demonftrated diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle faid fame manner fame plane fame ratio fame reaſon fecond fegment femicircle fhall fhewn fimilar fince firft firſt folid fore fquare of AC ftraight line AB fuch given ftraight line gnomon greater impoffible infcribed interfect join lefs leſs Let ABC line BC magnitudes muſt oppofite angle parallel parallelepiped parallelogram perpendicular polygon prifm propofition proportionals radius rectangle contained rectilineal figure remaining angle right angles ſhall ſpace ſquare tangent thefe THEOR theſe thoſe touches the circle triangle ABC wherefore