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" Triangles upon equal bases, and between the same parallels, are equal to one another. "
The Theory and Practice of Surveying: Containing All the Instructions ... - Σελίδα 52
των Robert Gibson - 1832 - 348 σελίδες
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 σελίδες
...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...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 σελίδες
...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...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 σελίδες
...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...

Crocker's Elements of land surveying. To which are added, Tables of six ...

Abraham Crocker - 1841 - 486 σελίδες
...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,...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 σελίδες
...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...

Proceedings

Scotland free church, gen. assembly - 1847 - 554 σελίδες
...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...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 σελίδες
...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...

The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 σελίδες
...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...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 σελίδες
...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....

The New American Practical Navigator; Being an Epitome of Navigation ...

Nathaniel Bowditch - 1846 - 854 σελίδες
...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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