 | Scotland free church, gen. assembly - 1847 - 554 pages
...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... | |
 | Euclides - 1845 - 546 pages
...therefore the triangle ABC is 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
...therefore the 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... | |
 | Euclid - Geometry - 1845 - 218 pages
...bisects it : 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... | |
 | Euclides - 1846 - 292 pages
...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. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD : the... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD : The... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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 =... | |
 | Dennis M'Curdy - Geometry - 1846 - 166 pages
...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,... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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... | |
 | Euclides - 1847 - 128 pages
...and of the same altitude, viz. the j- from A upon CD. — QEF PROP. XXXVIII. THEOR. GEN. ENUN. — Triangles upon equal bases, and between the same parallels, are equal to one another. PART. ENUN. — Let the AS ABC, DEFbeupon = bases BC, EF, and be. c AD .H tween the same || s BF, AD;... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
