 | Euclides - 1842 - 316 pages
...parallels, are equal or equivalent to one another. Let ABCD, EFGH be parallelograms upon equal bases вc, FG, and between the same parallels AH, BG: the parallelogram ABCD is equal or equivalent to EFGH. Join B, E and C, н ; and because вc is equal to FG, and FG to (34. 1.) EH,... | |
 | Scotland free church, gen. assembly - 1847 - 554 pages
...it. Therefore 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 - Euclid's Elements - 1844 - 338 pages
...(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... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...parallelogram AC is 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 - Geometry - 1845 - 218 pages
...BOOK I. 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 triangle... | |
 | 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. Then... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...equal (3. Ax.) that is, the parallelogram ABCD is equal to the parallelogram EBCF. PROP. XXXVI. THEOR. Parallelograms upon equal bases, and between the same...BE, CH ; and because BC is equal to FG, and FG to (34. 1.) EH, BC is equal to EH ; and they are parallels, and joined towards the same parts by the straight... | |
 | Dennis M'Curdy - Geometry - 1846 - 166 pages
...parallelograms, &c. QED Recite (a), def. 34 ; (4), p. 34; (c), ax. 6; (d),ax.2,3; (e), p. 32 ; ( f),p. 4. 36 Th. Parallelograms upon equal bases, and between the same...parallels, are equal to one another. Let ABCD, EFGH be two parallelograms upon equal bases BC, FG, and between the A name parallels AH, BG ; they are equal.... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...the equald?"" ABCD, EBCF, Ax. 7. .'. the /\* are equal to one another. PROP. XXXV. THEOR. 36. 1 Eu. Parallelograms upon equal bases, and between the same...parallels, are equal to one another. Let ABCD, EFGH, be £Z7°" upon = bases BC, FG, and between the same ||s, AH, BG; then /—7 m ABCD = /—7" EFGH. A DEH... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...equal^ZT " ABCD, EBCF, Ax. 7. .'. the /\K are equal to one another. Prop3 »PROP. XXXV. THEOR. 36. 1 Eu. Parallelograms upon equal bases, and between the same...parallels, are equal to one another. Let ABCD, EFGH, be £ZT" upon = bases BC, FG, and between the same ||s, AH, BG ; then r—r ABCD = Z=7 m EFGH. DE Ax '... | |
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Parallelograms upon equal bases, and between the same parallels, are equal to one another. 
