| Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 147 pages
...(iv) BC=DE, (v) BC=DE, AC=DF, AC=DE, AC=DF, Lk = Lf, ^A=^ E, tEx. 51. Two triangles ABC, DCB stand **on the same base BC and on the same side of it;** prove that AD is parallel to BC if AB = DC and AC= DB. SUMMARY OF RESULTS If two triangles have two... | |
| Education Department - 1879
...will form another equilateral triangle. 6. Equal triangles on equal bases in the same straight line **and on the same side of it are between the same parallels.** Show that the figure formed by joining the middle points of the sides of a quadrilateral is half of... | |
| 1877
...be produced to D, the angle CBD is greater than the angle CAB. 3. Equal triangles on the same base **and on the same side of it are between the same parallels.** 4. The square described on the side subtending the right angle of a right-angled triangle is equal... | |
| ...prove that PQR is equilateral. tEx. 389 ABC is an equilateral triangle; DBC is an isosceles triangle **on the same base BC and on the same side of it,** and / UDC ;, z BAG. Prove that AD = BC. tEx. 39O. How many sides has the polygon, the sum of whose... | |
| ...meet the circumference; if AB pass through the centre, show that AB>AC. 4. ABC, DBC are two triangles **on the same base BC and on the same side of it,** the points A, D being outside the triangles DBC, ABC respectively; if AB = DB, show that AC, DC are... | |
| G. P. West - Geometry - 1965 - 316 pages
...parallels (or, of the same altitude) are equivalent. 255 THEOREM 25. Equivalent triangles on the same base **and on the same side of it are between the same parallels.** 256 THEOREM 26. If a triangle and a parallelogram stand on the same base and between the same parallels,... | |
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