 | Euclides - 1842 - 316 pages
...triangle ABC is equal or equivalent to the triangle DEF. Wherefore triangles, &c. QED PROP. XXXIX. THEOR. EQUIVALENT triangles upon the same base, and upon...the same side of it, are between the same parallels. Let the equivalent triangles ABC, DBC be upon the same base B c, and upon the same side of it : they... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...equal (7. Ax.) ; therefore the triangle ABC is equal to the triangle DEF. , PROP. XXXIX. THEOR. Equal triangles upon the same base, and upon the same side of it, are between the same parallels. Let the equal triangles ABC, DBC be upon the same base BC, and upon the same side of it ; they are... | |
 | Euclides - 1845 - 546 pages
...the triangle DEF. Wherefore, triangles upon equal bases, &c. QEU PROPOSITION XXXIX. THEOREM. Equal triangles upon the same base and upon the same side of it, are between the same parallels, Let the equal triangles ABC, DBC be upon the same base BC, and upon the same side of it. Then the triangles... | |
 | Euclid - Geometry - 1845 - 218 pages
...ABC is equal to the triangle DEF. Wherefore triangles, &c. QED PROPOSITION XXXIX. THEOR. — Equal triangles upon the same base, and upon the same side of it, are between the same parallels. Let the equal triangles ABC, DBC be upon the same base BC, and upon the same side of it : they are... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...the /\ ABC, or double the ^ EFG, which is its equal, by last Cor. PROP. XXXVI. THEOR. 39. 1 Eu. Equal triangles upon the same base, and upon the same side of it, are between the same parallels. Let the = <£^s ABC, DEC, be on the same base BC, and on the same side of it ; then the will be between... | |
 | Euclides - 1846 - 292 pages
...triangle ABC is equal to the triangle DEF. Wherefore, Triangles %c. QED PROP. XXXIX. THEOR. JSifual triangles upon the same base, and upon the same side of it, are between the same parallels. Let the equal triangles, ABC, DBC, be upon the same base BC, and upon the same side of it : they shall... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...equal (7. Ax.) ; therefore the triangle ABC is equal to the triangle DEF. PROP. XXXIX. THEOR. Equal triangles upon the same base, and upon the same side of it, are between the same parallels. Join AD ; AD is parallel to BC ; for, if it is not, through the point A draw (31. 1.) AE parallel to... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...the ^\ ABC, or double the ^ EFG, which is its equal, by last Cor. PROP. XXXVI. THEOR. 39. lEu. Equal triangles upon the same base, and upon the same side of it, are between the name parallels. Let the = ^s ABC, DEC, be on the same base BC, and on the same side of it; then the... | |
 | Dennis M'Curdy - Geometry - 1846 - 168 pages
...(a) p. 31; (4) p. 36 ; (c)p.34; (d)ax. 7. 89 Th. Equal triangles (ABC, DBC), upon the same base (BC), and upon the same side of it, are between the same parallels. Join AD;—AL» is parallel to BC: for if not, through the point A draw AE parallel to BC (a), aud... | |
 | Euclides - 1847 - 128 pages
...by a st. line AG drawn through one of the L ' BAC. — QEF PROP. XXXIX. THEOR. PART. ENUN. — Equal triangles upon the same base, and upon the same side of it, are between the same parallels. PART. ENUN. — Let the = AS ABC, DBC be upon the same base BC, and upon the same side of it ; then... | |
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Equal triangles upon the same base, and upon the same side of it, are between the same parallels. 
