 | Mathematics - 1836 - 488 pages
...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 - Euclid's Elements - 1837 - 290 pages
...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 - Geometry - 1837 - 410 pages
...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 - 264 pages
...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 - Surveying - 1839 - 452 pages
...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 - 486 pages
...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 - Euclid's Elements - 1842 - 332 pages
...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 - 554 pages
...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 - 546 pages
...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.... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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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Triangles upon equal bases, and between the same parallels, are equal to one another. 
