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" Triangles upon equal bases, and between the same parallels, are equal to one another. "
The school Euclid: comprising the first four books, by A.K. Isbister - Side 43
av Euclides - 1862
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...other, the base of thar which has the greater angle shall be greater than the base of the other. 4. Triangles upon equal bases and between the same parallels are equal to one another. 5. To a given straight line apply a parallelogram that shall be equal to a given rectilineal figure...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...triangle DEC. Therefore, triangles upon the same base, etc. QED Proposition XXXVIII. TheoremTriangles upon equal bases and between the same parallels are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, A D. Then...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879
...BC^side EF (hyp.); therefore the triangles are equal in every respect (I. 26). QED SECTION III. 1. Triangles upon equal bases and between the same parallels are equal to each other. If AB, one of the sides of the triangle ABC, be bisected in O, and AC divided into three...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...with these sides a triangle equal to the given triangle. PROPOSITION XXXVIII. THEOREM. Triangles on equal bases, and between the same parallels, are equal to one another. Let AS ABC, DBF be on = bases BC, EF, and between the same ||s BF, AD. Then shall A ABC = A DEF. GADH...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...middle point of the opposite side BC : prove that the triangles APB and A PC are equal. 38.Triangles upon equal bases and between the same parallels are equal to one another. The equal sides AB, AC of an isosceles triangle are pro duced to D, E, so that AD = 2AB, AE=2AC. Show...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...EBCF. therefore, parallelograms on the same lose &c. QED PROPOSITION 36. THEOREM. Parallelograms on equal bases, and between the same parallels, are equal to one another. Let-ABCD, EFGH be parallelograms on equal bases BC, FG, and between the same parallels AH, BG: the...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880
...rectangles contained by the undivided line and the several parts of the divided line. 4. Parallelograms on equal bases, and between the same parallels, are equal to one another. 5. If a straight line be bisected, and produced to any point, the rectangle contained by the whole...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 sider
...triangle DEC (ax. 7). Wherefore, Triangles on the same base, &c. QED PKOP. XXXVIII. THEOREM. Tria/ngles on equal bases and between the same parallels are equal to one another. Let ABC and DEF be triangles on equal bases BC and EF, and between the same parallels AD and BF. Then...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880
...right-angled isosceles triangles have their bases equal, they will be equal in all respects. SECTION III. 1. Triangles upon equal bases and between the same parallels are equal to each other. If AB, one of the sides of the triangle ABC, be bisected in O, and AC divided into three...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880
...Repeat. — The enunciations of Euc. I. 33, 34, 35, and Axiom i. General Enunciation. Parallelograms on equal bases and between the same parallels are equal to one another. Particular Enunciation. Given. — The two parallelograms, ABCD, EFGH, DE (a) on the equal bases BC,...
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