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" Parallelograms upon the same base and between the same parallels, are equal to one another. "
Elements of Plane Geometry - Page 57
by Thomas Hunter - 1878 - 132 pages
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 pages
...described would 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,...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 23

Great Britain. Civil Service Commission - 1879 - 620 pages
...that this may be possible ? Show how the construction will fail if the condition is not observed. 4. Parallelograms upon the same base and between the same parallels are equal to one another. 5. In any right-angled triangle the square which is described upon the side subtending...
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Parliamentary Papers, Volume 22

Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...that this may be possible ? Show how the construction will fail if the condition is not observed. 4. Parallelograms upon the same base and between the same parallels are equal to one another. 5. In any right-angled triangle the square which is described upon the side subtending...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 pages
...parallelogram ACD B. Therefore, the opposite sides and angles, etc. . QED Proposition XXXV. Theorem. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF be upon the same base BC, and between the same parallels...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 394 pages
...the same side; and likewise the two interior angles upon the same side equal to two right angles. 3. Parallelograms upon the same base, and between the same parallels, are equal to one another. 4. Describe a square that shall be equal to a given rectilineal figure. 5. If two circles...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...shall be equal to 1'5, 2, and 2 • 5 inches respectively. 2. Define a parallelogram, and prove that parallelograms upon the same base and between the same parallels are equal in area. Construct a rhombus which shall be equal in area to a given square, and whose sides shall...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 248 pages
...these shall be less than the other two sides of the triangle, but shall contain a greater angle. 4. Parallelograms upon the same base, and between the same parallels are equal to one another. 5. Describe a parallelogram equal to a given rectilineal figure and having an angle...
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Papers for teachers

1880 - 594 pages
...triangle ABC be folded along this straight line the point A shall fall upon the point D. 2. Euc. I. 28. 3. Parallelograms upon the same base, and between the same parallels, are equal to one another. Are the parallelograms equal in all respects ? Algebra. — 1. Simplify ij-f j i—...
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Guide to preliminary army examination

John Gibson - 1881 - 302 pages
...parallelogram are equal to one another, and that the diameter bisects the parallelogram. 4. Prove that parallelograms upon the same base and between the same parallels are equal to one another. 5. Prove that in any right-angled triangle ABC, the square which is described upon...
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Elements of Geometry

Simon Newcomb - Geometry - 1881 - 418 pages
...Eectangle ABEF = parallelogram A BCD. Therefore Area ABCD = rectangle AB . AE. QED 296. Corollary 1. All parallelograms upon the same base and between the same parallels are equal in area, because they are all equal to the same rectangle. 297. Cor. 2. Parallelograms having equal...
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