Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical TrigonometryW.E. Dean, 1836 - 311 páginas |
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Resultados 1-5 de 26
Página 214
... Cosine , Cotangent , or Cosecant of that angle . Thus , let CL or DB , which is equal to CL , be the sine of the angle CBH ; HK the tangent , and BK the secant of the same angle : CL or BD is the cosine , HK the cotangent , and BK the ...
... Cosine , Cotangent , or Cosecant of that angle . Thus , let CL or DB , which is equal to CL , be the sine of the angle CBH ; HK the tangent , and BK the secant of the same angle : CL or BD is the cosine , HK the cotangent , and BK the ...
Página 216
... sum of the sines of the arcs AB and AC ; and KC is the difference of the sines ; also BD is the sum of the arcs AB and AC , and BC the diffe- rence of those arcs COR . 1. Because EL is the cosine of AC 216 PLANE TRIGONOMETRY .
... sum of the sines of the arcs AB and AC ; and KC is the difference of the sines ; also BD is the sum of the arcs AB and AC , and BC the diffe- rence of those arcs COR . 1. Because EL is the cosine of AC 216 PLANE TRIGONOMETRY .
Página 217
... cosine of AC , and EH of AB , FK is the sum of these cosines , and KB their difference ; for FK = 4FB + EL = EH + EL , and KB = LH = EH - EL . Now , FK : KB :: tan . FDK : tan . BDK ; and tan . DFK = cotan . FDK , because DFK is the ...
... cosine of AC , and EH of AB , FK is the sum of these cosines , and KB their difference ; for FK = 4FB + EL = EH + EL , and KB = LH = EH - EL . Now , FK : KB :: tan . FDK : tan . BDK ; and tan . DFK = cotan . FDK , because DFK is the ...
Página 219
... cosine of the angle included by the two sides . Let ABC be any triangle , 2AB.BC is to the difference between AB2 + BC2 and AC2 as radius to cos . B. From A draw AD perpendicular to BC , and ( 11. and 12. 2. ) the difference be- tween ...
... cosine of the angle included by the two sides . Let ABC be any triangle , 2AB.BC is to the difference between AB2 + BC2 and AC2 as radius to cos . B. From A draw AD perpendicular to BC , and ( 11. and 12. 2. ) the difference be- tween ...
Página 221
... cosine of half the angle included between the two sides of the triangle . 1 Let ABC be a triangle , of which BC is the base , and AB the greater of the other two sides , 4AB.AC : ( AB + AC + BC ) ( AB + AC - BČ ) :: R2 : ( cos.RAC ) 2 ...
... cosine of half the angle included between the two sides of the triangle . 1 Let ABC be a triangle , of which BC is the base , and AB the greater of the other two sides , 4AB.AC : ( AB + AC + BC ) ( AB + AC - BČ ) :: R2 : ( cos.RAC ) 2 ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore
Información bibliográfica
| Título | Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |