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" TRIANGLES upon the same base, and between the same parallels, are equal to one another. "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Seite 45
von Euclides - 1838
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 Seiten
...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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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...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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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 Seiten
...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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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880
...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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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880
...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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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...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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The student's guide to the University of Durham, with information respecting ...

1880 - 144 Seiten
...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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Inventional Geometry: A Series of Problems, Intended to Familiarize the ...

William George Spencer - 1881 - 97 Seiten
...make two triangles that shall be equal to each other, and yet not similar ? 137. Can you show that all triangles upon the same base and between the same parallels are equal to one another ? -£.^1 MtVg( Ce•\•. l-~ s' 138. Can you place a circle, whose radius is 1J inch, so that its...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 Seiten
...base BC of a triangle ABC, so that DE shall be equal to the difference of BD, C E. 5. Parallelograms upon the same base, and between the same parallels, are equal to one another. ALGEBRA. 1. Find the value of &(y + x)# + $x(y - z)' - (x - z), when .r = 3, y = 4, z = 7. 2. Simplify...
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The Cambridge Examiner, Band 3

1883
...and have one side equal to one side, then the triangles are equal in every respect. 6. Parallelograms upon the same base and between the same parallels are equal to one another. 7. Define : adjacent angles, opposite angles, vertical angles, and alternate angles ; and give examples...
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