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" Triangles upon the same base, and between the same parallels, are equal to one another. "
The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ... - Pagina 39
door Isaac Todhunter - 1880 - 400 pagina’s
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The Popular Educator, Volumes 1-2;Volume 12

1867
...proceed to show. The reader will remember that in Problem XXIV (page 308) it was shown that triangles on the same base and between the same parallels are equal to one another, and that triangles on equal bases and between the same parallels are also equal to one another. Now...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 pagina’s
...d 29. i. c4' I. f 3. Ax. PROP. XXXV. THEO R. ARALLELoGRAMS upon the fame bafe and between the fame parallels, are equal to one another. Let the parallelograms ABCD, EBCF, be upon the fame bafe BC, and between the fame parallels AF, BC ; the parallelogram ABCD fhall be equal...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 pagina’s
...and jl Figures. PROP. XXXV. THEO R. 'PARALLELoGRAMS upon the fame bafe and between: -!• the fame parallels, are equal to one another. Let the parallelograms ABCD, EBCF be upon the fame bafe BC and between the fame parallels AF, BC. the parallelogram ABCD fhall be equal...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 pagina’s
...b i. Ar. c 3. Ax. d »9. iPROP. XXXV. THEOR. ARALLEWGRAMS upon the fame bafe, and between the fame parallels, are equal to one another. Let the parallelograms ABCD, EBCF, be upon the fame bafe BC, and between the fame parallels AF, BC ; the paralleloersm ABCD fhall be equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 pagina’s
...paralkio c 4. 1. gram ACDB into two equal parts. QED PROP. XXXV. THEOR. See N. PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another. Sue OH- Let the parallelograms ABCD, EBCF be upon the same base 2dand3d BC, and between the same parallels...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 pagina’s
...parallelogram ACDB intq two equal parts. Therefore, &c. QED j / PROP. XXXV. THEOR. PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another. gures. Seethe 2d Let the parallelograms ABCD, EBCF be upon the same and 3d fi- base BC, and between...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 1

Charles Hutton - 1812
...BC, and also parallel ioit(th. 12). q. ED THEOREM XXV. PARALLELOGRAMS, as also Triangles, standing on the Same Base, and between the Same Parallels, are equal to each other. Let E Let ABCD, ABEP, be two parallelograms, and ABC, ABF, two triangles, standing on the...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...basis, and between the same parallels, are equal to one another. Prop. XXXVII. Theor. Triangles npon the same base, and between the same parallels, are equal to one another. Prop. XXXVIII. Theor. Triangles upon equal bases, and between the same parallels, are equal to one...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pagina’s
...divides the parallelogram ACDB into two equal" parts. PROP. XXXV. THEOR. , s«eN. PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another. See the ad Let the parallelograms ABCD, EBCF be upon the same and 3d fi. base BC, and between the same...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 pagina’s
...ABCD is equal to EFGH. Wherefore, parallelograms, &c* Q,. ED PROP. XXXVII. THEOR. Triangles upon the same base, and between the same parallels, are equal to one another. Let the triangles ABC, DBC be upon the same base BC, and between the same parallels AD, ^_ BC : The triangle...
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