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" Parallelograms upon the same base and between the same parallels, are equal to one another. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Page 111
by Thomas Perronet Thompson - 1833 - 150 pages
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 24

Great Britain. Civil Service Commission - 1880 - 660 pages
...this proposition and prove it. 2. Two sides of a triangle are together greater than the third side. 3. Triangles upon the same base and between the same parallels are equal to one another. Two equal triangles, ABC and DBG, are upon the same base BC and upon the same side of it ; prove that...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1516 pages
...basesand ㎏ tweenthes れ n @ e p 打 ⅠUe ね 竹 eequⅠ の one 町 ] oter ・ h 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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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 394 pages
...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 touch each...
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Papers for teachers

1880 - 594 pages
...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— (*— $) j ,...
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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
...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 AF, BC : the parallelogram...
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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
...parallelogram EFGH. Wherefore, Parallelograms on equal bases, &c. QED PROP. XXXVII. THEOREM. Triangles on the same base and between the same parallels are equal to one another. Let ABC and DBC be triangles on the same base BC, and between the same parallels AD and BC. Then it is...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...ABC ; show how to divide A into two parts whose difference is equal to B. 2. Parallelograms on the same base and between the same parallels are equal to one another. On the side of the base BC remote from the vertex A of an acute-angled triangle a rectangle BDEC is...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 248 pages
...two adjacent sides of another parallelogram, the other sides will also be parallel. SECTION III. 1. Triangles upon the same base and between the same parallels are equal. Construct a triangle equal to a given triangle and having a base three times as great. 2. To a given...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...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 base BC, and...
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The student's guide to the University of Durham, with information respecting ...

1880 - 160 pages
...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 the right...
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