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" TRIANGLES upon the same base, and between the same parallels, are equal to one another. "
Inventional Geometry: A Series of Problems, Intended to Familiarize the ... - Página 43
por William George Spencer - 1877 - 97 páginas
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INVENTIONAL GEOMETRY: A SERIES OF PROBLEMS INTENDED TO FAMILIARIZE THE PUPIL ...

WILLIAM GEORGE SPENCER - 1877
...You recollect that plane figure that has the fewest lines possible for its boundaries. A body which has four plane, equal, and similar surfaces, is called...another ? 138. Can you place a circle, whose radius is If inch, so that its circumference may touch two points 4 inches asunder ? 139. How many squares may...
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Inventional Geometry: A Series of Problems : Intended to Familiarize the ...

William George Spencer - 1876 - 97 páginas
...name. 135. Make two equal and similar rhomboids, and divide one into two equal and similar trianpies by means of one diagonal, and the other into two equal...another ? 138. Can you place a circle, whose radius is \\ inch, so that its circumference may touch two points 4 inches asunder \ 139. How many squares may...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...two equal parts. Therefore, the opposite sides, &c. QED Proposition 35. — Theorem. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF be on the same base BC, and between the same parallels AF, BC ; The...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...not intersect, and therefore the construction for the triangle required would fail. 2. Parallelograms upon the same base, and between the same parallels, are equal to one another. Shew that if two triangles have two sides of the one equal to two sides of the other, each to each,...
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John Heywood's complete guide to the standard examinations, consisting of 24 ...

Alfonzo Gardiner - 1878
...= _. 7. The difference of two numbers is 14, and their sum is 48 : find the numbers. 8. Prove that triangles upon the same base, and between the same parallels, are equal to one another. 9. What do you mean by the " complements of a parallelogram " and by " applying a parallelogram to...
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Complete guide to the certificate and scholarship examinations, by a head ...

J T. Amner - 1878
...equal to two right angles. What ratio does the angle of a regular hexagon bear to a right angle ? 2. Triangles upon the same base and between the same parallels are equal. A line drawn through the middle points of the sides of a triangle is parallel to the base. 3. In any...
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Elements of Plane Geometry, Parte1

Thomas Hunter - 1878 - 132 páginas
...same reason EFGH is equal to ABGH. Hence ABCD and EFGH are equal (Ax. 1). PROPOSITION VIII.—THEOREM. Triangles upon the same base, and between the same parallels, are equal ABC and ABD have the same base, AB, and be between the same parallels, AB and CD; then will these two...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...parallelogram EFGH (Ax. 1). Therefore, parallelograms upon equal bases, etc. QED Proposition XXXVII. Theorem. Triangles upon the same base, and between the same parallels, are equal to one another. Let the triangles ABC, DBC be upon the same base BC and between the same parallels AD, B C. Then the...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volumen23

Great Britain. Civil Service Commission - 1879
...same side ; and also the two interior angles on the same side together equal to two right angles. 3. Triangles upon the same base and between the same parallels are equal to one another. Let ABC, ABD, be two equal triangles upon the same base AB, and on opposite sides of it ; if CD be...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 páginas
...angle. 36. Parallelograms upon equal bases and between the same parallels are equal to one another. 37. Triangles upon the same base and between the same parallels are equal to one another. Any point P is taken in the line joining an angular point A of a triangle to the middle point of the...
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