| Robert Mudie - 1836 - Liczba stron: 542
...quantity. This, which is a very useful property, is usually cited in the words, " Parallelograms upon the same or equal bases, and between the same parallels, are equal to each other." But there is some objection to the words "between the same parallels," inasmuch as, to... | |
| 1836 - Liczba stron: 488
...upon, the same base, and between the same parallels, are equal to one another. XXXVIII. Triangles upon equal bases, and between the same parallels, are equal to one another. XXXIX. Equal triangles upon the same base, and upon the same side of it, are between the same parallels.... | |
| Andrew Bell - 1837 - Liczba stron: 290
...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, James Thomson - 1837 - Liczba stron: 410
...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... | |
| Euclides - 1838 - Liczba stron: 264
...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... | |
| Robert Gibson, James Ryan - 1839 - Liczba stron: 452
...proved that, ABCD being a parallelogram, AB will be = CD, and AD—BC. C THEOREM XIII. PL. 1. fig. 31 All parallelograms on the same or equal bases and...are equal to one another ; that is, if BD=GH, and tlie lines BH and AF arc parallel, then the parallelogram A11DC—BDFE—EFHG. For AC=BD=EF (by cor.... | |
| Abraham Crocker - 1841 - Liczba stron: 486
...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 - Liczba stron: 332
...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... | |
| Scotland free church, gen. assembly - 1847 - Liczba stron: 554
...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... | |
| Euclides - 1845 - Liczba stron: 546
...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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