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Llibres Llibres 61 - 70 de 196 sobre Parallelograms upon the same base and between the same parallels, are equal to one....
" Parallelograms upon the same base and between the same parallels, are equal to one another. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Pągina 41
per Euclid, John Playfair - 1826 - 320 pągines
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Proceedings of the American Association for the ..., Volum 48,Part 1899

American Association for the Advancement of Science - 1899
...third part a strict treatment of equivalence. Even Euclid, in proving his I. 35, "Parallelograms on the same base, and between the same parallels, are equal to one another," does not show that the parallelograms can be divided into pairs of pieces admitting of superposition...
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Papers for the schoolmaster, Volums 1-6

...possess in being situated as they are. EUCLID AND MECHANICS. First Year Student*. 1. Parallelograms upon the same base and between the same parallels are equal to one another, 2. If a straight line be divided into any two parts, the squares of the whol« line, and of one of...
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Annual Report of the Commissioners ...

1851
...Prove that the three angles of a triangle are equal to two right angles, .... — 10 3 2. Prove that triangles, upon the same base, and between the same parallels, are equal, 12 1 3. Describe a square upon a given straight line, . 11 2 4. Divide a given straight line in medial...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...the sake of practice, be proved with the accompanying figure.] AB PROP. XXXV. THEOK. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF be upon the same base BC, and between the same parallels AF, BC ; the parallelogram...
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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852
...35.) ; therefore the parallelograms ABCD and EFGH are equal (Ax. 1.). WWD РBОР. XXXVП. ТнЕОB. Triangles upon the same base and between the same parallels are equal. Let the triangles в A c and в D c be on the same base в c, and between the same parallels в c and...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...BC divides the parallellogram ACDB into two equal parts. QED PROPOSITION XXXV. THEOR. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, KBCF be upon the same base BC, and between the same parallels AF; BC : the parallelogram...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 pągines
...divides the parallelogram a С db into two equal parts. QED PROPOSITION XXXV. — THEOREM. Parallelograms upon the same base, and between the same parallels, are equal to one another. LET the parallelograms abСd, ebСf (see the second figure) be upon the same base b С, andbetween the same...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...diameter BC divides the parallelogram ACDB into two equal parts. QED PROP. XXXV. THEOREM. Parallelograms upon the same base and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF, be upon the same base BC, and between the same parallels AF, BC; the parallelogram...
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Elements of geometry and mensuration

Thomas Lund - 1854 - 362 pągines
...FG is equal to that ratio (170), and join DH. Then DHG is the triangle required. For BDC, BDF, being triangles upon the same base and between the same parallels, are equal to one another (41). Also A.ADE — &ADG; .'.adding to these equals the AABD, it is evident that ADGF = the polygon...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...only which are at the vertices of any two of its opposite angles. PROP. XXXV. THEOREM. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms AС, B Г be upon the same base B С, and and between the same parallels AF, BС. The...
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