 | Moffatt and Paige - 1879 - 474 pages
...the triangle DE F. Therefore, triangles upon equal bases, etc. QED 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... | |
 | 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... | |
 | 1880 - 594 pages
...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. Algebra. — i. Simplify — a — (bc)- {b-(ac}} — [a—... | |
 | 1880 - 160 pages
...make the alternate angles equal to each other ; the two straight lines shall.be parallel. 5. Equal triangles upon the same base and upon the same side of it, are between the same parallels. 6. If the square described upon one of the sides of a triangle, be equal to the squares described upon... | |
 | 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
...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... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...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... | |
 | Moffatt and Paige - 1883 - 516 pages
...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... | |
 | Euclides - 1884 - 182 pages
...XXXVIII., that they divide the figure into four equal triangles. 87. 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 l>ase BC, and upon the same side of it. Then ABC... | |
 | British Columbia. Superintendent of Education - 1893 - 812 pages
...parallelogram are equal to each other ; and the diagonal bisects it. 8. Equal triangles upon the samo base and upon the same side of it are between the same parallels. 9. To describe a parallelogram equal to a given triangle, and having an angle equal to a given rectilineal... | |
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Equal triangles upon the same base, and upon the same side of it, are between the same parallels. 
