Books Books EQUAL triangles upon the same base, and upon the same side of it, are between the same parallels. The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 40
by Euclides - 1841 - 351 pages ## The First Two Books of the Elements of Euclid ... with Additional Figures ...

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... ## The Elements of Euclid [book 1] for beginners, by J. Lowres

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... ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...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... ## The synoptical Euclid; being the first four books of Euclid's Elements of ...

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... ## The first six books of the Elements of Euclid, with numerous exercises

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... ## The popular educator, Volume 4; Volume 7

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... ## Elements of Geometry: Containing the First Six Books of Euclid with a ...

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... ## The Elements of geometry; or, The first six books, with the eleventh and ...

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... ## Minutes of the Committee of Council on Education

...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.... 