Various  die goldene stimmgabel  dieter thomas heck präsentiert die sieger der ardshow
Find showtimes, watch trailers, browse photos, track your Watchlist and rate your favorite movies and TV shows on your phone or tablet!
Bella Rose  At night Bella fucks you in the room, and wants a creampie.
You take Bella to dinner, and after in the room she needs you. She sucks your cock and fucks you so good. She cums hard on your cock, and you can tell its the best sex she has had. She begs for you to creampie her.
With the flexible and completely integrated Bühler vacuum system all common types of vacuum valves can be operated and monitored directly from the die casting machine. By providing the opportunity to optimize, monitor and document the process, Bühler’s SmartVac system is setting a new benchmark in vacuum applications on cold chamber die casting machines.

The Golden section  the Number
The golden section is also called the golden ratio, the golden mean and Phi.
Two more pages look at its applications in Geometry: first in flat (or two dimensional) geometry and then in the solid geometry of three dimensions.
Geometry and the Golden section
or Fantastic Flat Facts about Phi
See some of the unexpected places that the golden section (Phi) occurs in Geometry and in Trigonometry: pentagons and decagons, paper folding and Penrose Tilings where we phind phi phrequently! An auxiliary page on Exact Trig Values for Simple Angles explores the many places that Phi and phi occur when we try to find the exact values of the sines, cosines and tangents of simple angles like 36° and 54°.

The Golden Geometry of Solids or Phi in 3 dimensions
The golden section occurs in the most symmetrical of all the threedimensional solids  the Platonic solids. What are the best shapes for fair dice? Why are there only 5?
The next pages are about the numbers Phi = 1·61803.. and phi = 0·61803... and their properties.
Phi's Fascinating Figures  the Golden Section number
All the powers of Phi are just whole multiples of itself plus another whole number. Did you guess that these multiples and the whole numbers are, of course, the Fibonacci numbers again? Each power of Phi is the sum of the previous two  just like the Fibonacci numbers too. Introduction to Continued Fractions
is an optional page that expands on the idea of a continued fraction (CF) introduced in the Phi's Fascinating Figures page.  There is also a Continued Fractions Converter (a web page  needs no downloads or special plugis) to change decimal values, fractions and squareroots into and from CFs.
 This page links to another auxiliary page on Simple Exact Trig values such as cos(60°)=1/2 and finds all simple angles with an exact trig expression, many of which involve Phi and phi.
 Introduction to Continued Fractions

Phigits and Base Phi Representations
We have seen that using a base of the Fibonacci Numbers we can represent all integers in a binarylike way. Here we show there is an interesting way of representing all integers in a binarylike fashion but using only powers of Phi instead of powers of 2 (binary) or 10 (decimal).

Geometry and the Golden section
or Fantastic Flat Facts about Phi
This string is a closely related to the golden section and the Fibonacci numbers.

Fibonacci Rabbit Sequence
See show how the golden string arises directly from the Rabbit problem and also is used by computers when they compute the Fibonacci numbers. You can hear the Golden sequence as a sound track too.
The Fibonacci Rabbit sequence is an example of a fractal  a mathematical object that contains the whole of itself within itself infinitely many times over.

Who was Fibonacci?
Here is a brief biography of Fibonacci and his historical achievements in mathematics, and how he helped Europe replace the Roman numeral system with the "algorithms" that we use today.
Also there is a guide to some memorials to Fibonacci to see in Pisa, Italy.

The Fibonacci numbers in a formula for Pi
( )
There are several ways to compute pi (3·14159 26535 ..) accurately. One that has been used a lot is based on a nice formula for calculating which angle has a given tangent, discovered by James Gregory. His formula together with the Fibonacci numbers can be used to compute pi. This page introduces you to all these concepts from scratch. 
Fibonacci Forgeries
Sometimes we find series that for quite a few terms look exactly like the Fibonacci numbers, but, when we look a bit more closely, they aren't  they are Fibonacci Forgeries.
Since we would not be telling the truth if we said they were the Fibonacci numbers, perhaps we should call them Fibonacci Fibs !!
 The Lucas Numbers
Here is a series that is very similar to the Fibonacci series, the Lucas series , but it starts with 2 and 1 instead of Fibonacci's 0 and 1. It sometimes pops up in the pages above so here we investigate it some more and discover its properties.
It ends with a number trick which you can use "to impress your friends with your amazing calculating abilities" as the adverts say. It uses facts about the golden section and its relationship with the Fibonacci and Lucas numbers.
The first 200 Lucas numbers and their factors
together with some suggestions for investigations you can do.
 Minä Ja Ville Ahonen  Mia
 Madame Mercury  I Wanna Dance
 Václav Neckář  Kätzchen Geht's Gut / Krokodil Theophil
 Lola Flores  Raíces De La Canción Española Vol. 39
 Eddy Grant  Viviendo En La Primera Linea ("Living On The Frontline")
 RossiniRespighi , René Leibowitz , London Philharmonic Orchestra, The* London Philharmonic Orchestra  La Boutique Fantasque
qk.cableconnectors.info
Date Title Description 
The first 200 Lucas numbers and their factors