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" Triangles upon equal bases, and between the same parallels, are equal to one another. "
A Collection of Problems and Examples Adapted to the "Elementary Course of ... - Página 160
de Harvey Goodwin - 1851 - 173 páginas
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Crocker's Elements of land surveying. To which are added, Tables of six ...

Abraham Crocker - 1841 - 486 páginas
...will be the rhomboides. W For Practice. Note. Parallelograms constituted upon the same base (or on equal bases), and between the same parallels, are equal to one another. — EUCLID, I. 35. and 36. In every quadrilateral (or four-sided) figure, the four angles, taken together,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 páginas
...are equal (7. Ax.) ; therefore the triangle ABC is equal to the triangle DBC. PROP. XXXVIII. THEOR. Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD : The triangle...
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Proceedings

Scotland free church, gen. assembly - 1847 - 554 páginas
...ABCD and EFGH, being each of them equal to GCDH, are equal to one another. Wherefore, parallelograms upon equal bases, and between the same parallels, are equal to one another. 4. Let AB be divided into two parts in C,-any part, AB'=AC»+CD' + 2AC.CB. J Upon AB describe a square...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - 338 páginas
...are equal (7. Ax.) ; therefore the triangle ABC is equal to the triangle DBC. PROP. XXXVIII. THEOR. Triangles upon equal bases, and between the same parallels, are equal to one another. Produce AD both ways to the points G, H, and through B draw BG parallel (31. 1.) to CA, and through...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 páginas
...bisects it : BOOK I. PROP. XXXVIII. XXXIX. B CE H • 31. J. Def. 34. 1 . PROPOSITION XXXVIII. THEOR. — Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD : the triangle...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 páginas
...therefore the triangle ABC is equal to the triangle DBC. Wherefore triangles, &c. PROP. XXXVIII. THEOR. — Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bases, BC, EF, and between the same parallels BF. AD : ABC is...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 páginas
...triangle ABC is equal to the triangle DBC. Wherefore triangles, &c. «. ED PROPOSITION XXXVIII. THEOREM. Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels /,"/•', AD. Then...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 páginas
...therefore the triangle ABC is equal to the triangle DBC. Wherefore, Triangles %c. QED PROP. XXXVIII. THEOR. Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD : the triangle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 páginas
...are equal (7. Ax.) ; therefore the triangle ABC is equal to the triangle DBC. PROP. XXXVIII. THEOR. Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD : The triangle...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 páginas
...ABCD, EBCF, Ax. 7. .'. the /\* are equal to one another. PROP. XXXV. THEOR. 36. 1 Eu. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH, be £Z7°" upon = bases BC, FG, and between the same ||s, AH, BG; then /—7 m ABCD = /—7"...
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