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, 1839 - 318 sider |
Inni boken
Resultat 1-5 av 27
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 . E C P N 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 ...
... tangent , and BE the secant , of the angle ABI , or CBF , from Def . 6 , 7 . E C P N 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 ...
Side 225
... tangent , or secant of the complement of any angle is called Cosine , Cotangent , or Cosecant of that angle . Thus , let CI.or DB , which is equal to CL , be the sine of the angle CBH ; HK then tangent , and BK the secant of the same ...
... tangent , or secant of the complement of any angle is called Cosine , Cotangent , or Cosecant of that angle . Thus , let CI.or DB , which is equal to CL , be the sine of the angle CBH ; HK then tangent , and BK the secant of the same ...
Side 226
... tangents of the parts into which the opposite angle is divided by the per- pendicular . For , if in the triangle ABC ... tangent of the opposite angle , and the hypotenuse the secant of it . PROP . II . The sides of a plane triangle are ...
... tangents of the parts into which the opposite angle is divided by the per- pendicular . For , if in the triangle ABC ... tangent of the opposite angle , and the hypotenuse the secant of it . PROP . II . The sides of a plane triangle are ...
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 cen- tre , 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 cen- tre , and AEG the diameter which passes through A ; sin . AC + sin . AB : sin . AC - sin . AB ...
Andre utgaver - Vis alle
Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1847 |
Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1856 |
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 opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism PROB produced proportional 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 parallelopipeds spherical angle spherical triangle square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore