| Euclides - 1852
...triangle ABC is equal to the triangle DEF. "Wherefore triangles, &c. QED BOOK I. PROP. XXXIX. THEOR. **Equal triangles upon the same base, and upon the same...between the same parallels. Let the equal triangles ABC,** DEC be upon the same base BC, and upon the same side of it; they arc between the same parallels. Join... | |
| Euclides - 1852
...the given number of parts, and drawing right lines to the vertex of the triangle. PROP. XXXIX. THEOR. **Equal triangles upon the same base, and upon the same...between the same parallels. Let the equal triangles** в A c and в D c be upon the same base вc, and on the same .--./ side of it : they are between the... | |
| Royal Military Academy, Woolwich - Mathematics - 1853
...triangle ABC is equal to the triangle DEF. Wherefore triangles etc. Q.. E, D. PROPOSITION XXXIX. THEOR. **Equal triangles upon the same base, and upon the same...between the same parallels. Let the equal triangles ABC,** DEC be upon the same base BC, and upon the same side of it : they are between the same parallels. Join... | |
| Euclides - 1853
...The triangle ABC is equal to the triangle DEF. Wherefore, triangles, &c. QED PROP. XXXIX. THEOREM. **Equal triangles upon the same base and upon the same side of it, are** Let the equal triangles ABC, DBC, be upon the same base BC> and upon the same side of it ; they are... | |
| Euclides - Geometry - 1853 - 147 pages
...triangle abc is equal to the triangle def Wherefore triangles, &c. QED PROPOSITION XXXIX.— THEOREM. **Equal triangles upon the same base, and upon the same side of** ii, are between the same parallels. LET the equal triangles abc, dbc be upon the same base bc, an upon... | |
| Popular educator - 1852
...parallel lines should be assumed as an axiom, on which reasonings on such lines may be founded ? 7. **Equal triangles upon the same base, and upon the same side of it, are between the same parallels.** Hence show that a triangle may be bisected by a line drawn "rom any point in one of its sides. 8. To... | |
| John Playfair - Euclid's Elements - 1855 - 318 pages
...are 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...triangles ABC, DBC be upon the same base BC, and upon the** saJhe side of it ; they are between the same parallels. Join AD ; AD is parallel to BC ; for, if it... | |
| Euclides - 1855
...divide it into equal triangles on opposite sides of the segments of the diagonal. PROP. XXXIX. THEOREM. **Equal triangles upon the same base, and upon the same...between the same parallels. Let the equal triangles** ABС, DB С, be upon the sате base B С, and upon the sате side of it. The triangles ABС, DB... | |
| Great Britain. Committee on Education - School buildings - 1855
...angles; and the three interior angles of every triangle are together equal to two right angles. 4. **Equal triangles upon the same base and upon the same side of it, are between the same parallels.** A line drawn through the middle points of two sides of a triangle, will be parallel to the third side.... | |
| 1855
...angles of every triangle are together equal to two right angles. 4. Equal triangles upon the same hase **and upon the same side of it are between the same parallels** . A. line drawn through the middle points of two sides of a triangle will be parallel to the third... | |
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