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" Parallelograms upon the same base and between the same parallels, are equal to one another. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Seite 35
von John Playfair - 1837 - 318 Seiten
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 Seiten
...parallelograms, &c. Q^ED PROP. XXXVII. THEOR. HPRi ANGLEs upo'n the fame bafe, and between the fame parallels, are equal to one another. Let the triangles ABC, DBC be upon the fairie bafe BC and between the fame parallels AD; BC . the triangle ABC is equal to the triangle DBC....
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The Popular Educator, Bände 1-2;Band 12

1867 - 964 Seiten
...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 one another. Now...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 Seiten
...EFGH. Wherefore parallelograms, &c. Q^ED PROP. XXXVII. THEOR.. upon the fame bafe, and between the fame parallels, are equal' to one another. Let the triangles ABC, DBC be upon the fame bafe BC and between the fame parallels -rx A Tl AD, BC: The triangle ABC *i. AA* is equal to the...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 Seiten
...PROP. B BooK I. PROP. XXXVII. THEOR. See M. rripviANGLES upon the fame bafe, and between the JL fame parallels, are equal to one another. Let the triangles ABC, DBC be upon the fame bafe BC, and between the fame parallels AD, BC : The triangle ABC is equal to the triangle DBC....
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 Seiten
...parallelograms, &c. Q^ED »• 34. T PROP. XXXVII. THEOR. RIANGLES upon the fame bafe, and between the fame parallels, are equal to one another, Let the triangles ABC, DBC be upon the fame bafe BC and between the fame parallelspi A Tl Ti* AD, BC. the triangle ABC iaF4 A AJ -C equal...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...divides the paralkio c 4. 1. gram ACDB into two equal parts. QED PROP. XXXV. THEOR. See N. PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another. Sue OH- Let the parallelograms ABCD, EBCF be upon the same base 2dand3d BC, and between the same parallels...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 Seiten
...same EBCH : therefore also the parallelogram ABCD is equal to EFGH. Wherefore, parallelograms, &c. QED PROP. XXXVII. THEOR. TRIANGLES upon the same base,...the triangles ABC, DBC be upon the same base BC, and ketween the same parallels p » , AD, BC : the triangle ABC B equal to the triangle DBC. Produce AD...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813 - 714 Seiten
...diameter bisects them, that is, divides them in two equal parts. Prop. XXXV. Theor. Parallelograms upon the same base and between the same parallels, are equal to one another. Prop. XXXVI. Theor. Parallelograms upon equal basis, and between the same parallels, are equal to one...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 Seiten
...same EBCH : Therefore also the parallelogram ABCD is equal to EFGH. Wherefore parallelograms,"&c. QED PROP. XXXVII. THEOR. TRIANGLES upon the same base,...DBC, be upon the same base BC, and between the same r' parallels AD, BC : The triangle ABC is equal to the triangle DBC. through B draw3 BE pa- ^ ^ Produce...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...i divides the parallelogram ACDB into two equal" parts. PROP. XXXV. THEOR. , s«eN. PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another. See the ad Let the parallelograms ABCD, EBCF be upon the same and 3d fi. base BC, and between the same...
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