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" Prove that parallelograms on the same base and between the same parallels are equal in area. "
Examination Papers for Science Schools and Classes - Page 23
by Great Britain. Education Department. Department of Science and Art - 1882
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 pages
...be greater than the third. How would the process fail if the last condition were not fulfilled ? 2. Parallelograms on the same base and between the same parallels are equal to each other. Show that if two triangles have two sides of the one equal to two sides of the other,...
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Elementary Geometry ...

James Maurice Wilson - 1878 - 450 pages
...difference of identically equal magnitudes are equal, although they may not be identically equal. THEOREM i. Parallelograms on the same base and between the same parallels are equal. Part. En. Let ABCD, EBCF\iz parallelograms, upon the same base BC, and between the same parallels AF,...
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Scientific and practical geometry for self-instruction

Rolla Rouse - 1879 - 400 pages
...is unscientific, as it gives four propositions where only one is required. Proposition 35, stating that parallelograms on the same base and between the same parallels are equal to one another ; Proposition 36, that on equal bases and between the same parallels they are equal...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 414 pages
...and ratio. 7. Triangles and parallelograms of the same altitude are to one another as their bases. 8. Parallelograms on the same base, and between the same parallels, are equal to one another. 9. Divide a given straight line into two parts, so that the rectangle contained by...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...opposite sides to two opposite angles : these lines trisect the given line. PROPOSITION XXXV. THEOREM. Parallelograms on the same base, and between the same parallels, are equal to one another. Let the / — 7s ABCD, EBCF be on the same base BC, and between the same ||s AF, BC....
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...parallelogram will be divided into four equal parts ; in what case will the diagonal bisect the angle ? 35. Parallelograms on the same base and between the same parallels are equal to one another. What is the converse of this proposition ? Same proposition. Describe a parallelogram...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...parallelogram ACDB into two equal parts. Wherefore, the opposite sides &c. QED PROPOSITION 35. THEOREM. Parallelograms on 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 sameparallels...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...parallelogram. The enunciations of Euc. I. 4, I. 29, and I. 34. And Axioms 2a, 30, and 6. General Enunciation. Parallelograms on the same base, and between the same parallels, are equal to one another. Particular Enunciation (CASK I). Given — The parallelograms ABCD, DBCF, on the same...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...diagonals, intersecting in E ; prove that AE and BE = CE and DE, each to each. PROP. XXXV. THEOREM. Parallelograms on the same base, and between the same parallels, are equal to each other. Let ABCD and EBCF be parallelograms on the same base BC, and between the same parallels...
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The student's guide to the University of Durham, with information respecting ...

1880 - 160 pages
...angles ; and the three interior angles of every triangle are together equal to two right angles. (v.) Parallelograms on the same base, and between the same parallels, are equal to one another. (vi.) In any right angled triangle, the square which is described on the side subtending...
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