1 / 15

Gottfried Wilhelm Leibniz and his calculating machine

Gottfried Wilhelm Leibniz and his calculating machine. report by Torsten Brandes. Chapter 1. Construction of mechanical calculating machines. Structure of a mechanical calculating machine. counting mechanism. two counting wheels. counting mechanism .

jens
Télécharger la présentation

Gottfried Wilhelm Leibniz and his calculating machine

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Gottfried Wilhelm Leibniz and his calculatingmachine 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 S – lever Zi – toothed wheel dealing with the carry between two digits

  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. • 1641 Blaise Pascal developes an adding- and subtracting machine to maintain his father, who worked as a taxman. • 1670 - 1700 Leibniz is working on his calculator.  • 1774 Philipp Matthäus Hahn (1739-1790) 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 • Addition digit by digit, saving the occuring carries with a toothed wheel. • Adding the saved carries to the given sums, calculated before.

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

  13. Multiplication (excampel) • was possible by interated additions • 32.448*75 • Input of 32.448 in the adjusting mechanism. • Input of 5 in the rotation counter. • Rotating the crank H once. The counting mechanism shows 162.240. • Rotating 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 2.433.600.

More Related