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Llibres Llibres 31 - 40 de 194 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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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837
...3. that whole Z ^BD = whole Z DCA, 4. that A ABC = A BCD. PROPOSITION XXXV. Theorem. Parallelograms upon the same base, and between the same parallels, are equal to each other. (In Jig. 1, the ams are equal, because each is double of A BDC.) Steps of the Demonstration,...
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The Elements of Euclid

Euclid - 1838 - 416 pągines
...PROP. XXXVII. THEOR. TRIANGLES upin the same base, and between the same parallels, are equal to bne another. Let the triangles ABC, DBC be upon the same base BC, and between the same parallels AD, E AD F BC : the triangle ABCjs equal to the triangle DBC. Produce AD both witys to the points E, F,...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...diameter BC divides the parallelogram ACDB into two equal parts. QKD PROP. XXXV. THEOR. 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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A complete treatise on Practical Land-Surveying, etc

Thomas Holliday - 1838 - 80 pągines
...figure be equal, they will alto be parallel, and the figure will be a parallelogram. 3. Parallelograms upon the same base and between the same parallels are equal to one another. 4. A parallelogram is double the area of a triangle of the same base and altitude. See fig. 22, plate...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...XXXVI. THEOR. Parallelograms on equal bases and between the. same parallels, are equal. DG _H a )•: PROP. XXXVII. THEOR. Triangles upon the same base and between the same parallels, are equal. BC__DP PROP. XXXVIII. THEOR. Triangles upon equal bases and between the same parallels, are equal....
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...the same EBCH: therefore the parallelogram ABCD is equal to EFGH. Wherefore parallelograms, &c. QED PROP. XXXVII. THEOR. Triangles upon the same base,...between the same parallels, are equal to one another. BC, and between the same parallels AD, BC: the triangle ABC shall be equal to the triangle DBC. Produce...
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Punch, Volums 42-43

Mark Lemon, Henry Mayhew, Tom Taylor, Shirley Brooks, Sir Francis Cowley Burnand, Sir Owen Seaman - 1862
...are. You learn those ways at school, and nothing else. Master Bob. Don't I, Miss. Hee ! Parallelograms upon the same base and between the same parallels are equal to 9ne another, and equal triangles upon equal bases in the same straight lines, and towards the same...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...therefore, also, the parallelogram ABCD is equal or equivalent to EFG н. Wherefore parallelograms, &c. QED PROP. XXXVII. THEOR. TRIANGLES upon the same base, and between the same parallels, are equivalent to one another. Let the triangles ABC, DBC be upon the same base BC* and between the same...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 pągines
...adjacent angles of a parallelogram is equal to two right angles. PROP. XXXV. THEOR. Parallelograms upon the same base and between the same parallels, are equal to one another. (SEE THE 2d AND 3d FIGUREs.) Let the parallelograms ABCD, EBCF be upon the same base BC, and between...
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Chambers's Information for the People, Volum 2

William Chambers, Robert Chambers - 1842
...to each other ; in proposition 37, the same fact is affirmed with respect to triangles, namely, that triangles upon the same base and between the same parallels, are equal. Propositions 36 and 38 are the converse of the preceding. The most celebrated, however, of the succeeding...
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