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Born in Bristol in 1807.
Started life as an ar tist and, after turning his attention to physical science, he established himself in Falmouth as a mathematical instrument maker, and effected improvements in the dipping needle and the miners' dial. In 1838 Mr. Jordan devised an instrument for recording by photography the variations of the barometric column. About the same date be invented a declination magnetograph and a self recording actinometer.
When Sir Henry de La Breche was engaged on the geological survey of Cornwall be made Mr. Jordan's acquaintance, and, being struck with his ability, he secured his appointment as first keeper of mining records, a position which was held by Mr. Jordan from 1840 to 1845.
He took an interest in electro-metallurgy and in 1841 he made an egg cup of electro deposited copper, plated with silver outside and gold inside.
On resigning his appointment as keeper of mining records he invented an ingenious process of carving by machinery, and established works at Lambeth for carrying out this invention, for which he received the gold medal of the Society of Arts in 1841.
This machinery was exhibited in the Great Exhibition of 1851.
Later on Mr. Jordan started work as a mechanical engineer in Manchester, and finally established himself in London as a mining and mechanical engineer in conjunction with his two sons. 
See T. B. Jordan and Son.