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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 Cambridge and Dublin Mathematical Journal, Tom 5

1850
...BOB. The former of the above propositions seems to be a proper generalization of Euclid's theorem " that triangles on the same base and between the same parallels are equal." If we have any number of surfaces of definite extent, either plane or curved, and we form pyramids...
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The Cambridge and Dublin Mathematical Journal, Tom 5

1850
...BOB'. The former of the above propositions seems to be a proper generalization of Euclid's theorem " that triangles on the same base and between the same parallels are equal." If we have any number of surfaces of definite extent, either plane or curved, and we form pyramids...
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The Collected Works of Dugald Stewart: Elements of the philosophy of the ...

Dugald Stewart - 1854
...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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The Collected Works of Dugald Stewart, Esq., F.R.SS., ...: Elements of the ...

Dugald Stewart - 1854
...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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Responsions

University of Oxford - 1863
...sides equal to three given straight lines, of which any two whatever must be greater than the third. 5. Triangles on the same base and between the same parallels are equal to each other. 6. Describe a parallelogram which shall be equal to a given triangle, and have one of...
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Practical geometry on an entirely new plan

Rolla Rouse - 1867
...between practical and theoretical knowledge, take proposition 37 in the first book of Euclid, shewing that triangles on the same base and between the same parallels are equivalent. The man with practical knowledge, is not only able to understand the demonstration, but...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - Liczba stron: 400
...equal to the parallelogram EFGH. [Axiom 1. Wherefore, parallelograms &c. QED PROPOSITION 87. THEOREM. Triangles on the same base, and between the same parallels, are equal. Let the triangles ABC, DBC be on the same base BC, and between the same parallels AD,BC: the triangle...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - Liczba stron: 400
...equal to the parallelogram EFGH. [Axiom 1. Wherefore, parallelograms &c. QED PROPOSITION 37. THEOREM. Triangles on the same base, and between the same parallels, are equal. Let the triangles ABC, DBC be on the same base BC, and between the same parallels AD,BC: the triangle...
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Ethics of Theism: A Criticism and Its Vindication

Alexander Leitch - 1868 - Liczba stron: 599
...can expect to rear the fabric of scientific ethics. The perception or knowledge of any one that two triangles on the same base and between the same parallels are equal, is not the criterion of their equality. Their equality is a reality which does not depend upon the...
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The Journal of Education for Ontario, Tomy 25-26

1872
...Explain OBLONG, RHOMBOID, DIAGONAL. 7. Delineate a kite with mathematical accuracy. 8. Show by a drawing that triangles on the same base, and between the same parallels, are equal. 9. Why does not a bridge, when properly built, fall in f Make a drawing of such a bridge. 10. Distinguish...
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