 | Euclides - 1852 - 152 pages
...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 - 48 pages
...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 - 400 pages
...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 - 146 pages
...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 - 176 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 - 1272 pages
...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 - 340 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 - 270 pages
...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 - 976 pages
...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 - 264 pages
...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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EQUAL triangles upon the same base, and upon the same side of it, are between the same parallels. 
