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" EQUAL triangles upon the same base, and upon the same side of it, are between the same parallels. "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 40
by Euclides - 1841 - 351 pages
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 167 pages
...D, when placed upon the same side of BC as A, does not fall on A, but has some other position, then upon the same base BC and upon the same side of it, there are two triangles having the two sides terminated in one extremity of the base equal, and the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 518 pages
...page 73.] PROPOSITION 40. .THEOREM. Equal triangles, on equal bases in the same straight line, and on the same side of it, are between the same parallels. Let the triangles ABC, DEF which stand on equal bases BC, EF, in the same straight line BF, and on the same...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 340 pages
...ABC is equal to the triangle DEF. PROPOSITION 39. THEOREM Equal triangles on the same base, and on the same side of it, are between the same parallels. Let the equal triangles ABC, DEC be on the same base BC, and on the same side of it : then they shall be between the same parallels....
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 304 pages
...greater which has the greater altitude. PROPOSITION 39. THEOREM. Equal triangles on the same base, and on the same side of it, are between the same parallels. Let the triangles ABC, DBC which stand on the same base BC, and on the same side of it be equal in area. Then...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 456 pages
...equal altitude are equal in area. PROPOSITION 39. THEOREM. Equal triangles on the same base, and on the same side of it. are between the same parallels. Let the triangles ABC, DBC which stand on the same base BC, and on the same side of it be equal in area. Then...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1893
...parallelogram are equal to each other ; and the diagonal bisects it. 8. Equal triangles upon the samo base and upon the same side of it are between the same parallels. 9. To describe a parallelogram equal to a given triangle, and having an angle equal to a given rectilineal...
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The popular educator, Volume 5

Popular educator - 1860
...No. XXXUI. LECTURES ON EUCLID. BOOK I. (Continued from page 185.) PROPOSITION XXXIX. THEOREM. Equul triangles upon the same base, and upon the same side of it, art between the same parallels. In fig. 39, let the equal triangles ABC and F.'g. 39. D в с, be upon...
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