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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 páginas |
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Página 223
... sine of any arch till it cut the circum- ference . ས . I H L K A B D The segment DA of the diameter passing through A , one extremity of the arch AC , between the sine CD and the point A , is called the Versed sine of the arch AC , or ...
... sine of any arch till it cut the circum- ference . ས . I H L K A B D The segment DA of the diameter passing through A , one extremity of the arch AC , between the sine CD and the point A , is called the Versed sine of the arch AC , or ...
Página 224
... sine , tangent , and secant of an arch , which is the measure of any given angle ABC , is to the sine , versed sine , tangent and secant , of any other arch which is the mea- sure of the same angle , as the radius of the first arch is ...
... sine , tangent , and secant of an arch , which is the measure of any given angle ABC , is to the sine , versed sine , tangent and secant , of any other arch which is the mea- sure of the same angle , as the radius of the first arch is ...
Página 225
... sine , tangent , or secant of the complement of any angle is called 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 ...
... sine , tangent , or secant of the complement of any angle is called 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 ...
Página 227
... sine of the arch AC ; and BH or LK being the sine of AB , DK is the sum of the sines of the arches AC and AB , and CK is the difference of their sines ; DAB also is the sum of the arch- es AC and AB , because AD is e- qual to AC , and ...
... sine of the arch AC ; and BH or LK being the sine of AB , DK is the sum of the sines of the arches AC and AB , and CK is the difference of their sines ; DAB also is the sum of the arch- es AC and AB , because AD is e- qual to AC , and ...
Página 230
... sine of half the angle includ- ed between the two sides of the triangle . Let ABC be a triangle , of which BC is the base , and AB the greater of the two sides ; 4AB.AC : ( BC + ( AB ~ AC ) ) × ( BC— ( AB — AC ) ) : ( sin . BAC ) . Ra ...
... sine of half the angle includ- ed between the two sides of the triangle . Let ABC be a triangle , of which BC is the base , and AB the greater of the two sides ; 4AB.AC : ( BC + ( AB ~ AC ) ) × ( BC— ( AB — AC ) ) : ( sin . BAC ) . Ra ...
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Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore