...DEF. "Wherefore triangles, &c. QED BOOK I. PROP. XXXIX. THEOR. Equal triangles upon the same base, and upon the same side of it, are 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...

...right lines to the vertex of the triangle. PROP. XXXIX. THEOR. Equal triangles upon the same base, and upon the same side of it, are 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...

...DEF. Wherefore triangles etc. Q.. E, D. PROPOSITION XXXIX. THEOR. Equal triangles upon the same base, and upon the same side of it, are 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...

...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...

...opposite sides of the segments of the diagonal. PROP. XXXIX. THEOREM. Equal triangles upon the same base, and upon the same side of it, are 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....

...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....

...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...

...the line EG with EF; wherefore EG or BC is equal to E F. XLII. Equal triangles upon the same base, and upon the same side of it, are between the same parallels. Let the equal triangles ABC, DBG (Fig. 33) be upon the same base BC, and upon the same side of it ;...

...and having an angle equal to a given rectilineal angle. Quest. 2. Equal triangles upon the same base and upon the same side of it, are between the same parallels. Quest. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior...

...bisected from the point H by the line HE. QKF PROP. 39.— TIIEOR. Equal triangles upon the same base and upon the same side of it are between the same parallels. CONSTRUCTION. — Pst. 1. A line may be drawn between two points. 1*. ,-il. Through a given point to...