Presentation on theme: "Gottfried Wilhelm Leibniz and his calculating machine"— Presentation transcript:
1Gottfried Wilhelm Leibniz and his calculating machine report by Torsten Brandes
2Chapter 1Construction of mechanical calculating machines
3Structure of a mechanical calculating machine counting mechanismtwo counting wheels
4counting 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.
5counting mechanism S – lever Zi – toothed wheel dealing with the carry between two digits
6Chapter 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.
7Leibniz‘ 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.
8stepped drumA configuration of staggered teeth. The toothed wheel can be turned 0 to 9 teeth, depending of the position of this wheel.
9four basic operations performing machine by Leibniz
10Skizze H – crank K – crank for arithmetic shift rotation counter drawing: W. JordanH – crankK – crank for arithmetic shiftrotation counter
11Functionality 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.
15Multiplication (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