## 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 Trigonometry |

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Resultat 1-5 av 24

Side 214

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 angle : CL or BD is the

cotangent , and BK the cosecant of the angle ABC . Cor . 1. The radius is a mean

...

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 angle : CL or BD is the

**cosine**, HK thecotangent , and BK the cosecant of the angle ABC . Cor . 1. The radius is a mean

...

Side 216

But DK is the sum of the sines of the arcs AB and AC ; and KC is the difference of

the sines ; also BD is the sum of the arcs AB and AC , and BC the differonce of

those arcs : .. Cor . 1. Because EL is the

But DK is the sum of the sines of the arcs AB and AC ; and KC is the difference of

the sines ; also BD is the sum of the arcs AB and AC , and BC the differonce of

those arcs : .. Cor . 1. Because EL is the

**cosine**of 816 PLANE TRIGONOMETRY . Side 217

Because EL is the

and KB their difference ; for FK = { FB + ... The sum of the

therefore to the difference of the same

...

Because EL is the

**cosine**of AC , and EH of AB , FK is the sum of these**cosines**,and KB their difference ; for FK = { FB + ... The sum of the

**cosines**of two arcs istherefore to the difference of the same

**cosines**as the cotangent of half the sum of...

Side 219

In any triangle , twice the rectangle contained by any two sides is to the difference

between the sum of the squares of those sides , and the square of the " base , as

the radius to the

In any triangle , twice the rectangle contained by any two sides is to the difference

between the sum of the squares of those sides , and the square of the " base , as

the radius to the

**cosine**of the angle included by the two sides . Let ABC be any ... Side 221

... of which one is the sum of those sides increased by the base of the triangle ,

and the other the sum of the same sides diminished by the base , as the square

of the radius to the square of the

two ...

... of which one is the sum of those sides increased by the base of the triangle ,

and the other the sum of the same sides diminished by the base , as the square

of the radius to the square of the

**cosine**of half the angle included between thetwo ...

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Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1819 |

Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1854 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1824 |

### Vanlige uttrykk og setninger

ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid square straight line taken tangent THEOR third touch triangle ABC wherefore whole