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" Equal triangles on the same base, and on the same side of it, are between the same parallels. "
Euclid's Elements of Geometry: The Six First Books. To which are Added ... - Page 47
by Euclid, Rev. John Allen - 1822 - 494 pages
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Practical Geometry

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...
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Examination,Midsummer,1879

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...
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Examinations Papers

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...
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A Shorter Geometry

...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...
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A First Course of Geometry

...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...
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The New Geometry: Form One

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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