 | Pupil teachers - 1880 - 1486 pages
...the same base and on opposite sides of it. If CD meets AB in E, then CE, ED are also equal 39.Equal triangles upon the same base, and upon the same side of it, are between the same parallels. AB, CD are parallel straight lines ; AD, BC meet in E, and CD is produced to F, so that the triangles... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...triangles &c. QED PROPOSITION 40. THEOREM. Equal triangles, on equalbases,in the same straight line, and on the same side of it, are between the same parallels. Let the equal triangles ABC, DEF be on equal bases BC, EF, in the same straight line BF, and on the same side of it : they shall... | |
 | Great Britain. Civil Service Commission - 1880 - 670 pages
...base and between the same parallels are equal to one another. Two equal triangles, ABC and DBG, are upon the same base BC and upon the same side of it ; prove that if AB be equal to AC the perimeter of ABC will be less than that of DBC. 4. If a straight... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...diagonal Equal tnanyles upon the same base, and uIton the tame side of it, art between the same paraUelt. Let the equal triangles ABC, DBC, be upon the same base BC, and upon the same side of it. The triangles ABC, DBC, are between the same parallels ; that is, if AD be joined, AD is parallel to... | |
 | Education, Higher - 1884 - 538 pages
...straight line are either two right angles, or together equal to two right angles. 11. Equal triangles on the same base, and upon the same side of it, are between the same parallels. AD is parallel to BC : AC and BD meet in E : BC is produced to P, so that the triangle PEB is equal... | |
 | Education - 1882 - 676 pages
...lines drawn from the vertex, one bisecting the vertical angle, the other perpendicular to the base. 2. Equal triangles upon the same base and upon the same side of it, are between the same parallels. Point out where the demonstration begins. History. 1. Explain the relations of Mary Stuart to the thrones... | |
 | Marianne Nops - 1882 - 278 pages
...— QED PROPOSITION XL. THEORBM. Equal triangles upon equal bases in the same straight line and on the same side of it are between the same parallels. Let the equal As ABC, DEF be on equal bases BC, EF, in A p 'the same straight line BF, and on the same side of it... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...the three interior angles of every triangle are together equal to two right angles. Euclid, I., 2. 3. Equal triangles upon the same base and upon the same side of it are between the same parallels. Euclid, I., 39. Algebra. MALES. I. Add together i5-0 _ ii-*), 2дг- (3- 5^), and 2- (-4 + = I-I+IA... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...&c. QED PROPOSITION 40. THEOREM. Equal triangles, on equalbases, in the same straight line, and on the same side of it, are between the same parallels. Let the equal triangles ABC, DEF be on equal bases BC, EF, in the same straight line BF, and on the same side of it : they shall... | |
 | Moffatt and Paige - 1883 - 516 pages
...equal to the triangle DE F. Therefore, triangles upon equal bases, etc. Proposition XXXIX. Theorem. Equal triangles upon the same base, and upon the same side of it, are betwee-l the same parallels. Let the equal triangles ABC, DBC be upon the same base BC, and upon the... | |
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EQUAL triangles upon the same base, and upon the same side of it, are between the same parallels. 
