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 Llibres Llibres 11 - 20 de 189 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 ... - Pàgina 41
per Euclid, John Playfair - 1826 - 320 pàgines
Visualització completa - Sobre aquest llibre ## The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...same EBCH : Therefore also the parallelogram ABCD is equal to EFGH. Wherefore parallelograms,"&c. QED PROP. XXXVII. THEOR. TRIANGLES upon the same base,...DBC, be upon the same base BC, and between the same r' parallels AD, BC : The triangle ABC is equal to the triangle DBC. through B draw3 BE pa- ^ ^ Produce...
Visualització completa - Sobre aquest llibre ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pàgines
...i 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...
Visualització completa - Sobre aquest llibre ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 pàgines
...diameter BC divides the parallelogram ACDB into two equal parts. QED 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...
Visualització completa - Sobre aquest llibre ## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 pàgines
...divides the parallelogram ACDB into two eqoal parts, QED Proposition 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...
Visualització completa - Sobre aquest llibre ## Elements of Geometry, Containing the First Six Books of Euclid

Euclid, Phillips - 1826 - 180 pàgines
...Therefore triangles, &c. QED PROPOSITION XXXVIII. THEOREM. Triangles constituted upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DCE, be constituted upon equal bases вс, CE, and <? A n н between the same parallels BE, AD. The...
Visualització completa - Sobre aquest llibre ## Euclid's Elements of geometry, transl. To which are added ..., Llibres 1-6

Euclides - 1826
...shall the two trapeziums be equal to one another. PROPOSITION XXXVII. THEOREM. Triangles constituted upon the same base, and between the same parallels, are equal to one another. » 3i. i. parallel to сл, " and through c draw CF, parallel to в D. Therefore each of them EBCA,...
Visualització completa - Sobre aquest llibre ## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 pàgines
...EBCH : therefore the parallelogram ABCD is equalf t 1 Ax. to EFGH. Wherefore parallelograms, &c. QEJO. PROP. XXXVII. THEOR. Triangles upon the same base, and between the same parallels, am equal to one another. 33. 1. Def. 34. . 35. 1. Let the triangles ABC, DBC, be upon the...
Visualització completa - Sobre aquest llibre ## The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 pàgines
...same EBCH; therefore also the parallelogram ABCD is equal to EFGH. Wherefore parallelograms, &c. QED PROP. XXXVII. THEOR. TRIANGLES upon the same base,...the same base BC, and between the same parallels AD, E AD F BC : the triangle ABC is equal to the triangle DBC. Produce AD both ways to the points E, F,...
Visualització completa - Sobre aquest llibre ## Elements of geometry: Being chiefly a selection from Playfair's geometry

John Playfair - 1829 - 186 pàgines
...to each other. Therefore, parallelograms &c. QED ED. PROPOSITION XXXVII. THEOREM, Triangles on the same base, and between the same parallels, are equal to one another; that is, their surfaces are equal. Let the triangles ABC, DBC be on the same base BC, and between the...
Visualització completa - Sobre aquest llibre ## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 pàgines
...a rectangle of the same base and altitude. PROP. 25. (Eue. i. 36.) Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let the parallelogramsABCD, E FGH, be upon equal bases BC, FG, and between the same parallels AH, BG. The parallelogram...
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