Presentation on theme: "Gottfried Wilhelm Leibniz and his calculating machine"— Presentation transcript:
1 Gottfried Wilhelm Leibniz and his calculating machine report by Torsten Brandes
2 Chapter 1Construction of mechanical calculating machines
3 Structure of a mechanical calculating machine counting mechanismtwo counting wheels
4 counting mechanism Every counting wheel represents a digit. By rotating in positive direction it is able to add, by rotating in negative direction it is able to subtract.If the capacity of a digit is exceeded, a carry occurs.The carry has to be handed over the next digit.
5 counting mechanism S – lever Zi – toothed wheel dealing with the carry between two digits
6 Chapter 2: calculating machines bevore and after Leibniz 1623Wilhelm Schickard developes a calculating machine for all the four basicarithmetic operations. It helped Johann Kepler to calculate planet‘s orbits.1641Blaise Pascal developes an adding- and subtracting machine to maintainhis father, who worked as a taxman.Leibniz is working on his calculator. 1774Philipp Matthäus Hahn ( ) contructed the first solid machine.
7 Leibniz‘ calculating machine. Leibniz began in the 1670 to deal with the topic.He intended to construct a machine which could perform the four basic arithmetic operations automatically.There where four machines at all. One (the last one) is preserved.
8 stepped drumA configuration of staggered teeth. The toothed wheel can be turned 0 to 9 teeth, depending of the position of this wheel.
9 four basic operations performing machine by Leibniz
10 Skizze H – crank K – crank for arithmetic shift rotation counter drawing: W. JordanH – crankK – crank for arithmetic shiftrotation counter
11 Functionality Addition: partitioning in two tacts Addition digit by digit, saving the occuring carries with a toothed wheel.Adding the saved carries to the given sums, calculated before.
15 Multiplication (excampel) was possible by interated additions32.448*75Input of in the adjusting mechanism.Input of 5 in the rotation counter.Rotating the crank H once. The counting mechanism showsRotating the crank K. The adjusting mechanism is shifted one digit left.Input of 7 in the rotation counter.Rotating the crank H once. The counting mechanism shows