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" Triangles upon equal bases, and between the same parallels, are equal to one another. "
A Treatise of Practical Surveying, ... - Pàgina 35
per Robert Gibson - 1808 - 440 pàgines
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 pàgines
...therefore the triangle ABC is equal to the triangle DBC. PROPOSITION XXXVm. 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 BF, AD ; the...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 pàgines
...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...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pàgines
...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, F6 and between the same parallels AH, BG: the...
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Crocker's Elements of land surveying. To which are added, Tables of six ...

Abraham Crocker - 1841 - 486 pàgines
...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 pàgines
...the parallelogram ABCD is equal to the parallelogram EBCF. 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...
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Proceedings

Scotland free church, gen. assembly - 1847 - 554 pàgines
...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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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 pàgines
...to the parallelogram BF.* Therefore parallelograms, &c. PROP. XXXVI. THEOB. — Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let AC, EG be parallelograms upon equal bases BC, FG, and between the same parallels AH, BG; the parallelogram...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pàgines
...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....
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 pàgines
...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...
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The New American Practical Navigator; Being an Epitome of Navigation ...

Nathaniel Bowditch - 1846 - 854 pàgines
...it has been proved, that, ABDC being a parallelogram, AB is equal to CD, and AC equal to BD. L. Аи parallelograms on the same or equal bases, and between the same parallels, are equal to nach oí/кг ; that is, if BD and GH be equal, and the lints BH, AF, be parallel, tkt parallelograms...
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