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 sider |
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Resultat 1-5 av 28
Side 223
... Tangent of the arch AC , or of the angle ABC . COR . The tangent of half a right angle is equal to the radius . VII . The straight line BE , between the centre and the extremity of the tangent AE is called the Secant of the arch AC , or ...
... Tangent of the arch AC , or of the angle ABC . COR . The tangent of half a right angle is equal to the radius . VII . The straight line BE , between the centre and the extremity of the tangent AE is called the Secant of the arch AC , or ...
Side 224
... tangent , and BE the secant , of the angle ABI , or CBF , from Def . 6 , 7 . COR . to Def . 4 , 5 , 6 , 7. The sine versed sine , tangent , and secant of an arch , which is the measure of any given angle ABC , is to the sine , versed ...
... tangent , and BE the secant , of the angle ABI , or CBF , from Def . 6 , 7 . COR . to Def . 4 , 5 , 6 , 7. The sine versed sine , tangent , and secant of an arch , which is the measure of any given angle ABC , is to the sine , versed ...
Side 225
... 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 the same ...
... 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 the same ...
Side 226
... tangents of the parts into which the opposite angle is divided by the perpen- dicular . For , if in the triangle ABC , AD be drawn perpendicular to the base BC , each of the triangles CAD , ABD being right angled , AD : DC :: R : tan ...
... tangents of the parts into which the opposite angle is divided by the perpen- dicular . For , if in the triangle ABC , AD be drawn perpendicular to the base BC , each of the triangles CAD , ABD being right angled , AD : DC :: R : tan ...
Side 227
... tangent of half the sum of the arches to the tangent of half their difference . Let AB , AC be two arches of a circle ABCD ; let E be the centre , and AEG the diameter which passes through A : sin . AC + sin . AB : sin . AC - sin . AB ...
... tangent of half the sum of the arches to the tangent of half their difference . Let AB , AC be two arches of a circle ABCD ; let E be the centre , and AEG the diameter which passes through A : sin . AC + sin . AB : sin . AC - sin . AB ...
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Vanlige uttrykk og setninger
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