 | Euclid - 1838 - 470 σελίδες
...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. BOOK I. THE ELEMENTS OF EUCLID. B E between the same parallels BF, AD : the triangle ABC is equal to... | |
 | Euclides - 1841 - 378 σελίδες
...parallelogram ACDB into two equal parts. QED PROP. XXXV. THEOR. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, DBCF be upon the See the same base BC, and between the same parallels AF, BC;... | |
 | 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,... | |
 | John Playfair - 1842 - 332 σελίδες
...that is, 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 parallelogram... | |
 | Euclides - 1842 - 316 σελίδες
...XXXVIII. THEOR. TRIANGLES upon equal bases, and between the same parallels, are equal or equivalent to one another. Let the triangles ABC, DEF be upon equal bases в c, Е F, and between the same parallels в F, AD: the triangle ABC, is equal or equivalent to the... | |
 | Scotland free church, gen. assembly - 1847 - 554 σελίδες
...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... | |
 | John Playfair - 1844 - 338 σελίδες
...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... | |
 | Euclides - 1845 - 546 σελίδες
...EBCF. Therefore parallelograms upon the same, &c. UKI). PROPOSITION XXXVI. THEOREM. 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. Then the... | |
 | Euclid, James Thomson - 1845 - 382 σελίδες
...equal 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 - 1845 - 218 σελίδες
...parts. QED BOOK I. PROP. XXXV. XXXVI. PROPOSITION XXXV. THEOR. — Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF be upon the same See the 2nd base BC, and between the same parallels AF,... | |
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Parallelograms upon equal bases, and between the same parallels, are equal to one another. 
