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Bøker Bok 110 av 112In like manner, when it is said, that " triangles on the same base, and between the...
" In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal... "
The New American Practical Navigator; Being an Epitome of Navigation ... - Side 10
av Nathaniel Bowditch - 1846 - 451 sider
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The popular educator

Popular educator - 1767
...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 - 1806 - 452 sider
...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 parallels are equal : but if you would draw a map from the bases and perpendiculars, it is evident that you must know at...
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A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - 440 sider
...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 same parallels are equal : but if you would draw a map from the bases and perpendiculars, it is evident that you must know at...
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Elements of the Philosophy of the Human Mind, Volum 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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Elements of the Philosophy of the Human Mind, Volum 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 Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1821 - 544 sider
...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 parallels, are equal ; but if you would draw a map from the bases and perpendiculars, it is evident that you must know at...
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The New American Practical Navigator: Being an Epitome of Navigation ...

Nathaniel Bowditch - 1826 - 617 sider
...that the parallelogram EFHG is equal to the parallelogram BDFE ; therefore the three j.aralleloRrams ABDC, BDFE, and EFHG are equal to each other. Cor....that triangles on the same base and between the same jnraUels are equal, since they are the half of the paiallelograms on the same base and between the...
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The New American Practical Navigator: Being an Epitome of Navigation ...

Nathaniel Bowditch - 1826 - 617 sider
...parallelograms ABDC, BDFE, and EFHG arc equal to each other. Cor. Hence it follows, that triiinclrs on tltr same base and between the same, parallels are equal, since they are the half of the parallelograms on the samn hase and between the same parallels (by art. iS.) * LI- ' .• In...
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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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