Presentation on theme: "1 Gottfried Wilhelm Leibniz and his calculating machine report by Torsten Brandes."— Presentation transcript:
1 Gottfried Wilhelm Leibniz and his calculating machine report by Torsten Brandes
2 Chapter 1 Construction of mechanical calculating machines
3 Structure of a mechanical calculating machine counting mechanism two 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 dealing with the carry between two digits S – lever Z i – toothed wheel
6 Chapter 2: calculating machines bevore and after Leibniz 1623 Wilhelm Schickard developes a calculating machine for all the four basic arithmetic operations. It helped Johann Kepler to calculate planet‘s orbits Blaise Pascal developes an adding- and subtracting machine to maintain his father, who worked as a taxman Leibniz is working on his calculator Philipp 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 drum A 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. Jordan
11 Functionality Addition: partitioning in two tacts 1.Addition digit by digit, saving the occuring carries with a toothed wheel. 2.Adding the saved carries to the given sums, calculated before.
13 Subtraction. Similar to adding. The orientation of rotating the crank has to be turned.
15 Multiplication (excampel) was possible by interated additions *75 1.Input of in the adjusting mechanism. 2.Input of 5 in the rotation counter. 3.Rotating the crank H once. The counting mechanism shows Rotating the crank K. The adjusting mechanism is shifted one digit left. 5.Input of 7 in the rotation counter. 6.Rotating the crank H once. The counting mechanism shows