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, 1840 - 317 σελίδες |
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Σελίδα 219
... sine of a quadrant , or of a right angle , is equal to the radius . COR . 2. The sine of an arc is half the chord of twice that arc : this is evi- dent by producing the sine of any are till it cut the circumference . H K L D 5. The ...
... sine of a quadrant , or of a right angle , is equal to the radius . COR . 2. The sine of an arc is half the chord of twice that arc : this is evi- dent by producing the sine of any are till it cut the circumference . H K L D 5. The ...
Σελίδα 220
... 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 ...
Σελίδα 221
... sine of the angle C , ( Def . 4. ) ; therefore CB : BAR sin . C. Also , because EG touches the cir- cle in E , CEG is a right angle , and therefore equal to the angle BAC ; and since the angle at C is common G D FE A to the triangles ...
... sine of the angle C , ( Def . 4. ) ; therefore CB : BAR sin . C. Also , because EG touches the cir- cle in E , CEG is a right angle , and therefore equal to the angle BAC ; and since the angle at C is common G D FE A to the triangles ...
Σελίδα 222
... sine of the arc AC ; and BH or LK being the sine of AB , DK is the sum of the sines of the arcs AC and AB , and CK is the difference of their sines ; DAB also is the sum of the arcs AC and AB , because AD is equal to AC , and BC is ...
... sine of the arc AC ; and BH or LK being the sine of AB , DK is the sum of the sines of the arcs AC and AB , and CK is the difference of their sines ; DAB also is the sum of the arcs AC and AB , because AD is equal to AC , and BC is ...
Σελίδα 226
... sine of half the angle included 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 ) ) :: R2 : ( sin.BAC ) 2 ...
... sine of half the angle included 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 ) ) :: R2 : ( sin.BAC ) 2 ...
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