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" Parallelograms upon equal bases, and between the same parallels, are equal to one another. "
Elements of Plane Geometry According to Euclid - Seite 27
von Andrew Bell - 1837 - 240 Seiten
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 492 Seiten
...demonftrated. PROP. XXXVIII. THEO R. triangles conjlitttted upon equal bafes, and hetween the fame parallels, are equal to one another. Let the triangles ABc, DEF be conftituted upon the equal bafes B c, EF, and between the fame parallels BF, AD : I fay, the triangle...
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The Popular Educator, Bände 1-2;Band 12

1867 - 964 Seiten
...any point in tho straight line HK, produced both ways indefinitely. Triangles also which stand npon equal bases and between the same parallels are equal to one another. Thus, the triangles LNG, M o F, which „ ._ stand on equal bases, NG, F o, and K between the same...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 Seiten
..."Wherefore triangles, &c. Q; ED PROP. XXXVIII. THEO R. IRiANGI.Es upon equal bafes, and between the fame parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bafes BC, EF» and between the fame parallels BF, AD : The triangle ABC is equal to the triangle DEF....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 534 Seiten
...Wherefore triangles, &c. Q^ED : PROP. XXXVIII. THEO R. TRIANGLES upon equal bafes, and between the fame parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bafes BC, EF, and between the fame parallels BF, AD. the triangle ABC is equal to the triangle DEF....
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 Seiten
...DBC. Wherefore triangle*, ]j Q^ED PROP. XXXVHI. THEO R. 'RIANGLES upon equal bafes, and between the parallels, are equal to one another. . Let the triangles ABC, DEF be upon equal bafes BC, and between the fame parallels BF, AD : The triangle is equal to the triangle DEF. Produce...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 Seiten
...Wherefore triangles, &c. QED T PROP. XXXVIII. THE OR. IRiANGLzs upon equal bafes, and between the fame parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bafes BC, EF, and between the fame parallels BF, AD : The triangle ABC is equal to the triangle DEF....
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 Seiten
...triangles, &.c. QED T 34. i. PROP. XXXVIII. THEOR. RIANGI.ES upon equal bafes, and between the fame parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bafes BC, EF, and between the fame parallels BF, AD : The triangle ABC is equal to the triangle DEF....
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 Seiten
...Wherefore triangles-, &c. Q^ED T PROP. XXXVIII. THE OR. RIANGLES upon equal bafes, and between the fame parallels, are equal to one another, Let the triangles ABC, DEF be upon equal bafes BC, EF, and between the fame parallels BF, AD. the triangle ABC is equal to the triangle DEF....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 Seiten
...parallelogram EBCF. Therefore, parallelograms upon the same base, &c. QED PROP. XXXVI. THEOR. PARALLELOGRAMS upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH be parallelograms upon equal bases BC, FG, and between the same parallels AH, BG; the parallelogram...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...parallelogram EBCF. Therefore, parallelograms upon the same base, &c. QED PROP. XXXVI. THEOR. PARALLELOGRAMS upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH be parallelograms upon equal bases BC, FG, and between the same parallels AH, BG; the parallelogram...
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