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Published byTristin Manders Modified about 1 year ago

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1 Gottfried Wilhelm Leibniz and his calculating machine report by Torsten Brandes

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2 Chapter 1 Construction of mechanical calculating machines

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3 Structure of a mechanical calculating machine counting mechanism two counting wheels

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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.

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5 counting mechanism dealing with the carry between two digits S – lever Z i – toothed wheel

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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.

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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.

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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.

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9 four basic operations performing machine by Leibniz

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10 Skizze H – crank K – crank for arithmetic shift rotation counter drawing: W. Jordan

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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.

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13 Subtraction. Similar to adding. The orientation of rotating the crank has to be turned.

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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

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