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 |
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Resultat 1-5 av 27
Side 223
... sine of a quadrant , or of a right angle , is equal to the radius . COR . 2. The sine of an arch is half the chord of twice that arch : this is evident by producing the sine of any arch till it cut the circumference . F ས . L A B D The ...
... sine of a quadrant , or of a right angle , is equal to the radius . COR . 2. The sine of an arch is half the chord of twice that arch : this is evident by producing the sine of any arch till it cut the circumference . F ས . L A B D The ...
Side 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 measure of the same an- gle , 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 measure of the same an- gle , as the radius of the first arch is ...
Side 225
... sine , 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 ...
... sine , 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 ...
Side 227
... sin . AC + sin . AB : sin . AC - sin . AB :: tan . ( AC + AB ) : tan . 1⁄2 ( AC - AB ) . Draw BF parallel to AG ... 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 ...
... sin . AC + sin . AB : sin . AC - sin . AB :: tan . ( AC + AB ) : tan . 1⁄2 ( AC - AB ) . Draw BF parallel to AG ... 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 ...
Side 230
... sine of half the angle included be- tween 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 ) ) x ( BC- ( AB - AC ) ) : R : ( sin BAC ) ...
... sine of half the angle included be- tween 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 ) ) x ( BC- ( AB - AC ) ) : R : ( sin BAC ) ...
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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 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