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" ... that triangles on the same base and between the same parallels are equal... "
A Treatise of Practical Surveying: Which is Demonstrated from Its First ... - Strona 207
autor: Robert Gibson - 1806 - Liczba stron: 452
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The Popular Educator, Tomy 1-2;Tom 12

1867
...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 - Liczba stron: 319
...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, ...

Robert Gibson - 1808 - Liczba stron: 440
...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...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 - Liczba stron: 508
...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...base the perpendicular was taken in. order to set it off in its due position ; and hence the map is easily constructed. PROB. XVI. To determine the area...
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Elements of the Philosophy of the Human Mind, Tom 2

Dugald Stewart - 1814
...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 - Liczba stron: 478
...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...base the perpendicular was taken, in order to set it off in its due position ; and hence the map is easily constructed. PROB. To determine the area of a...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1821 - Liczba stron: 544
...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 the same...base the perpendicular was taken, in order to set it off in its due position ; and hence the map is easily constructed. PROS. XVI. PL. 8. 2ig. 5. To determine...
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Elements of the Philosophy of the Human Mind, Tom 2

Dugald Stewart - 1821
...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
...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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The Works of Dugald Stewart: Elements of the philosophy of the human mind

Dugald Stewart - 1829
...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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