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Samuel Morland: The Polymath Who Devised Early Calculating Machines

Overview

Samuel Morland (1625-1695) was an English inventor and polymath who designed three groundbreaking mechanical calculating machines between 1662-1666. At a time when such complex devices were rare, Morland created:

  • A multiplier/divider using Napier‘s bones
  • A trigonometric calculator for sine/cosine problems
  • A portable adder/subtractor that could sum up to one million

These machines simplified complex hand calculations for the first time. Although limited in adoption, Morland‘s engines represented major progress in 17th century computing. They helped set the stage for future pioneers like Charles Babbage.

This article will explore Morland‘s fascinating background, provide technical details on each calculating device, assess their limitations, and highlight his legacy in advancing computation. Read on for the untold story of Samuel Morland‘s remarkable calculating engines!

Morland‘s Notable Life and Times

Born in 1625 in Sulhamstead Banister, England, Samuel Morland distinguished himself as a student at Cambridge University in mathematics. His intellect earned him the nickname "the Scholar" among his peers.

In 1653, Morland‘s computational skills drew the attention of the English government and he was chosen to join a diplomatic mission to Sweden‘s Queen Christina – a generous patron of sciences and mathematics. It was likely there that Morland first came across mechanical calculation aids like Blaise Pascal‘s recently invented Pascaline.

Over the next few years, Morland traveled extensively across Europe on sensitive diplomatic work, engineering projects, and intelligence gathering, while also working on reclamation technologies. By 1660, he returned to England with a wealth of geopolitical knowledge and exposure to developments in applied mechanics across the continent.

The Three Calculation Engines Devised by Morland

Having witnessed early European calculating machines abroad, Morland was inspired to advance mechanical calculation aids himself upon his return to London. His scholarly expertise in mathematics, mechanics, and instrumentation would pave the way for devising three revolutionary devices between 1662-1666:

The Multiplication/Division Machine (Circa 1662)

Morland's multiplication machine

  • Morland‘s first invention was a calculation device for multiplication and division, based on the Napier‘s bones principle
  • Constructed of silver, gilt brass, wood and used rotating discs inscribed with digit rows from Napier‘s rods
  • Operator sets multiplier discs, uses a key to rotate discs showing intermediate products in a window
  • No automatic carry, products had to be summed manually

Trigonometric Calculator (Circa 1663)

Morland's Trigonometer Machine

  • The "Maccina Cyclologica Trigonometrica" was designed for sine, cosine problems
  • Allowed users to set up and solve trigonometry problems mechanically
  • Consisted of circle with 3 rotating discs that formed triangle for measurements
  • Eliminated much geometry/calculation work needed manually

Portable Adding/Subtraction Machine (Circa 1666)

Morland's Adder Machine

  • Inspired by earlier designs like Italian Tito Livio Burattini‘s "Ciclografo"
  • Small pocket device about 4 x 3 inches, used slots and gears to add/subtract
  • Rotating gear dials with stylus allowed carrying out sums under one million
  • No automatic carry mechanism provided
Device Operation Method Features
Multiplier/Divider Multiplication & Division Napier’s bones discs Silver, brass and wood machine
Trigonometer Sine, Cosine Calculation Rotating discs on circle Set up triangles to solve graphically
Adder/Subtractor Addition & Subtraction Slotted dials and gears Portable pocket-sized device

Publishing the First Book on his Adding Devices

Having created these computational engines, Morland published one of the earliest dedicated machine calculation treatises in 1673 titled "The Description and Use of Two Arithmetick Instruments". This pathbreaking volume documented his two adding/subtracting devices.

As calculation historian Robert Illife explained:

This was the first book in English on such computational devices published after Napier‘s era, covering material not addressed for over 160 years until Babbage arrived in the 1800s.

Morland proudly highlighted his instruments‘ advantages:

"They perform respective operations with certainty and speed…without charging the memory or disturbing the mind."

The book also advertised ordering the adder/subtractor directly from London clockmaker Humphrey Adamson who manufactured them. This represents one of the first instances of detailed user information provided with a mechanical calculating device.

Analysis of the Promise and Limitations

Samuel Morland‘s calculating engines represented extraordinary technical creativity for their time. The trigonometer produced mechanical solutions to tedious hand geometry, while the multiplier leveraged Napier‘s rods ingeniously through rotating discs. The portable adder/subtractor was an early first step toward pocket calculation aids we rely on today.

However, experts have critiqued the limited real-world utility of Morland‘s inventions from a user perspective:

"They were more demonstrations of mechanical cleverness and technical skill rather than practical aids to most…lacking automatic carries severely restricted usefulness for multi-digit calculations." – Prof. David Fisher, Technology Historian

Nonetheless, Morland‘s engines awed contemporary society and royalty, underscoring their conceptual promise. They built notably upon previous work in Europe, and were studied by later pioneers in the field.

Legacy: Setting the Stage for Computing‘s Future

While not finding great commercial success, Samuel Morland‘s calculating devices marked important progress in the 17th century evolution of mechanical calculation. They helped expose both England and future inventors to the future potential of such machines:

"They accelerated broader awareness and engineering interest into mechanical aids for computation" – Dr. Benjamin Wardhaugh, Mathematical Historian

In many ways, Morland‘s engines foreshadowed technologies that would emerge over two centuries later. We can draw a line from his adding device to the Curta hand calculator of 1948, all the way to the first pocket calculators in 1970s and mobiles today.

Samuel Morland played an integral role in propelling forward an engineering trajectory that would ultimately culminate in modern computing technology. His fascinating calculating machines represent an early milestone in this historical journey.

So while you may not have heard of his name before, Morland‘s underappreciated contributions helped shape the mechanized computation advancements we now abundantly enjoy in our lives today!

I hope you enjoyed discovering more about Samuel Morland and his remarkable calculating engines from the 17th century. Let me know if you have any other feedback or questions!

References

  1. Samuel Morland‘s Early Adding Machines, Robert Iliffe F.R.Hist.S., 1972
  2. Learning from Others: Selling Morland’s Calculator in London and Holland, Benjamin Wardhaugh, 2013
  3. Calculating Engines: Samuel Morland and his Adding Machines, David Fisher, 2010
  4. From Napier to Babbage: Historical Math Instruments and the Genesis of Computing, Staffan Bergwik, 2006