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Updated: June 12, 2025
Ernest, knowing something of geometry and land-surveying, was able to give them some useful hints, which enabled them to complete their work successfully. Leaving them to do this, I employed myself in covering in my long colonnade.
Revenue was raised by the taxation of landed property, and its assessment depended on the accurate fixing of the boundaries of the various holdings. When these were removed by the periodical flooding due to the rising of the Nile, it was necessary to replace them, or to determine the taxable area independently of them, by an art of land-surveying.
It wasmore like land-surveying than drawing, and to accomplish this portion of his task took generally a fortnight, working six hours a week. He then placed a sheet of tissue paper upon his drawing, leaving only one small part uncovered, and, having reduced his chalk pencil to the finest possible point, he proceeded to lay in a set of extremely fine lines.
Orthography, etymology, syntax, and prosody, biography, astronomy, geography, and general cosmography, the sciences of compound proportion, algebra, land-surveying and levelling, vocal music, and drawing from models, were all at the ends of his ten chilled fingers.
The Saracens also gave to trigonometry its modern form, substituting sines for chords, which had been previously used; they elevated it into a separate science. Musa, above mentioned, was the author of a "Treatise on Spherical Trigonometry." Al-Baghadadi left one on land-surveying, so excellent, that by some it has been declared to be a copy of Euclid's lost work on that subject.
For the land-surveying I chose a table of measurements compiled from the map I had previously drawn, which I carried through under certain arbitrary assumptions.
Undoubtedly the beneficial result, the great practical application of Political Economy, would be to accomplish for a nation something like what the most perfect domestic economy accomplishes for a single household: but supposing this purpose realised, there would be the same difference between the rules by which it might be effected, and Political Economy, which there is between the art of gunnery and the theory of projectiles, or between the rules of mathematical land-surveying and the science of trigonometry.
From what I had learnt of the latter by snatches now and then, the prospect of knowing more about it delighted me much; and I cared not whether I began with forestry, with farming, or with geometry and land-surveying. My father tried to find a position for me; but the farmers asked too high a premium.
But abstract emotional appeals of any kind sound amateurish in the business that concerns us. Impressionistic philosophizing, like impressionistic watchmaking or land-surveying, is intolerable to experts. Serious discussion of the alternative before us forces me, therefore, to become more technical.
I heard lectures on applied mathematics, arithmetic, algebra, geometry, mineralogy, botany, natural history, physics, chemistry, accounts, cultivation of forest trees and management of forests, architecture, house-building, and land-surveying. I continued topographical drawing.
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