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" In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal... "
The Theory and Practice of Surveying: Containing All the Instructions ... - Page 173
by Robert Gibson - 1832 - 348 pages
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The Popular Educator, Volumes 1-2; Volume 12

1867 - 964 pages
...г, as we will proceed to show. The reader will remember that in Problem XXIV (page 308) it was shown that triangles on the same base and between the same parallels are equal to one another, and that triangles on equal bases and between the same parallels are also equal to...
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1795 - 384 pages
...has been (hewn (in Cor. td Theo. 13. Sect, i.) that Triangles on the fame Bafe, and between the fame Parallels are equal : But if you would draw a Map from the Bafes and Perpendiculars, it is evident that you muft know at what Part of the Bafe the Perpendicular...
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1806 - 486 pages
...of the bases the perpendicular was taken : since it has been shewn (in cor. to theo. 13, sect. 1.) that triangles on the same base, and between the same...base the perpendicular was taken in order to set it oft' in its due position ; and hence the map is easily constructed. PROBLEM XVI. To determine the area...
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A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - 482 pages
...part of the base the perpendicular was taken : since it has been shewn (in cor. to theo. 13. seel. 1.) that triangles on the .same base, and between the...must know at what part of the base the perpendicular was1 takeri$ in order to set it off' in its due position ; and hence the map is easily constructed....
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1811 - 580 pages
...shewn (in cor. to theo. 13. geom.J that triangles on the same base, and between the same parallels arc equal ; but if you would draw a map from the bases...position ; and hence the map is easily constructed. PROB. XVI. To determine the area of a fiiece of ground, having the •map given, by reducing it to...
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Elements of the Philosophy of the Human Mind, Volume 2

Dugald Stewart - 1814 - 560 pages
...which experience is equally incompetent to disprove or to confirm ? In like manner, when it is said, that " triangles on the same base, and between the same parallels are equal," do we feel ourselves the less ready to give our assent to the demonstration, if it should be supposed,...
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A Treatise on Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1818 - 502 pages
...was taken : since it has been shewn (in cor. to theo. 18. sect. 1.) that triangles on the same bane, and between the same parallels are equal : but if...position ; and hence the map is easily constructed. PROB. To determine the area of a piece of ground, having the map given, by reducing it to one triangle...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1821 - 594 pages
...at what part of the base the perpendicular was taken : since it has been shown (in cor. to theo. 13. geom.) that triangles on the same base, and between...position ; and hence the map is easily constructed. PROS. XVI. PL. 8. 2ig. 5. To determine the area of a piece of ground, having the maft given, by reducing...
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Elements of the Philosophy of the Human Mind, Volume 2

Dugald Stewart - 1821 - 348 pages
...doctrine, I shall only appeal to the thirty-seventh proposition of the first book, .' in which it is proved that triangles on the same base, and between the same parallels, are equal ; a theorem which appears, from a very simple construction, to be only a few steps removed from the...
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The Works of Dugald Stewart: Elements of the philosophy of the human mind

Dugald Stewart - 1829 - 418 pages
...which experience is equally incompetent to disprove or to confirm 1 In like manner, when it is said, that " triangles on the same base, and between the same parallels are equal," do we feel ourselves the less ready to give our assent to the demonstration, if it should be supposed,...
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