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" To follow the mathematical axiom, that a straight line is the shortest that can be drawn between two points, will not succeed in making the most commodious roads; hills must be avoided, towns must be resorted to, and the sudden bends of rivers must be... "
A Practical Treatise on Making and Repairing Roads - Page 90
by Edmund Leahy - 1844 - 306 pages
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The Repertory of arts and manufactures [afterw.] arts, manufactures and ...

Repertory of arts, manufactures and agriculture - 1813 - 450 pages
...policy o!' individuals. ' ' Roads should be laid out, as nearly as may be, in a straight line; but to follow with this view the mathematical axiom, that...resorted to, and the sudden bends of rivers must be avoided. All these circumstances must be atteded to ; therefore a perfectly straight road cannot often...
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The Quarterly Review, Volume 23

William Gifford, Sir John Taylor Coleridge, John Gibson Lockhart, Whitwell Elwin, William Macpherson, William Smith, Sir John Murray (IV), Rowland Edmund Prothero (Baron Ernle) - English literature - 1820 - 616 pages
...find in favour of some degree of curvature, such good authority as that of Mr. Edgeworth. ' To follow the mathematical axiom, that a straight line is the...and the sudden bends of rivers must be shunned.'— ' It may perhaps appear surprising, that there is but little difference in length between a road that...
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The Quarterly Review, Volume 23

William Gifford, Sir John Taylor Coleridge, John Gibson Lockhart, Whitwell Elwin, William Macpherson, William Smith, Sir John Murray (IV), Rowland Edmund Prothero (Baron Ernle) - English literature - 1820 - 628 pages
...find in favour of some degree of curvature, such good authority as that of Mr. Edgeworth. ' To follow the mathematical axiom, that a straight line is the...to, and the sudden bends of rivers must be shunned." — ' It may perhaps appear surprising, that there is but little difference in length between a road...
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The London Quarterly Review, Volume 23

1820 - 632 pages
...find in favour of some degree of curvature, such good authority as that of Mr.. Edgeworth. ' To follow the mathematical axiom, that a straight line is the...be resorted to, and the sudden bends of rivers must he shunned.' — ' It may perhaps appear surprising, that there is but little difference in length...
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The Subscribers, the Acting Committee of "The Pennsylvania Society for the ...

Pennsylvania Society for the Promotion of Internal Improvements in the Commonwealth - Macadam roads - 1833 - 16 pages
...worthy of public attention. 1. "Roads should be laid out as nearly as may be in a straight line. But to follow, with this view, the mathematical axiom,...— and the sudden bends of rivers must be shunned. 2. ''It may perhaps appear surprising, that there is but little difference in length between a road...
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The Civil Engineer and Architect's Journal, Volume 5

William Laxton - Architecture - 1842 - 496 pages
...advantages. It would I* ridiculous to follow the old Roman fashion, on the mathematical axiom, tliat a straight line is the shortest that can be drawn between two points. Tliis vould not make Ihe most commodious road — hills must be avoided, I'jtrns must be resorted to,...
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The American House-carpenter: A Treatise Upon Architecture, Cornices and ...

Robert Griffith Hatfield - Architecture - 1845 - 326 pages
...when not warped nor winding. 20. — A solid has length, breadth and thickness. 21. — A right, or straight, line is the shortest that can be drawn between two points. 22. — Parallel lines are equi-distant throughout their length. 23. — An angle is the inclination...
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Journal of the Franklin Institute

Meteorology - 1843 - 884 pages
...be without superseding public advantages. It would be ridiculous to follow the old Roman fashion, on the mathematical axiom that a straight line is the shortest that can be drawn between two points. This would not make the most commodious road — hills must be avoided, towns must be resorted to,...
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A Text Book of Geometrical Drawing: Abridged from the Octavo Edition : for ...

William Minifie - Geometry, Descriptive - 1849 - 278 pages
...kinds; right lines, curved lines, and mixed lines. 3. A RIGHT LINE, or as it is more commonly called, a straight line, is the shortest that can be drawn between two given points as B. 4. A CURVE or CURVED LINE is that which does not lie evenly between its terminating...
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Medical Times, Volume 28

1853 - 710 pages
...The_mechanical principle tending to the same end, is recognised in the mathematical law, on which is founded the axiom, that a straight line is the shortest that can be drawn between any two given points. If these facts, and this reasoning, be founded in truth, what, let me ask, is...
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