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" Triangles upon equal bases, and between the same parallels, are equal to one another. "
The school Euclid: comprising the first four books, by A.K. Isbister - Side 43
av Euclides - 1862
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1821 - 544 sider
...parallelogram, AB will be = CD and AD ~ BC. THEO. XIII. PL. I. Jig. 31. All parallelograma on the same or equal bases and between the same parallels, are equal to one another, that is, if BD = GH, and the lines £H and AF parallel, then the paralleloe-ram JIBDC=,BDFE.= EfHG....
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...yix.)lherefore,the triangle ABC is equal to the triangle DBC. Wherefore triangles, &c. QED Propoíiíion XXXVIII. Theorem. Triangles upon equal bases, and...between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD : The...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...parallelograms placed upon the same base, &c. QED PROPOSITION XXXVI. THEOREM. Parallelograms constituted upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH, be parallelograms constituted upon equal bases вс, FG, and between the same parallels...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 sider
...parallelograms placed upon the same base, 8ec, QED PROPOSITION XXXVI. THEOBEM. Parallelograms constituted upon equal bases, and between the same parallels, are equal to one another, Let ABCD, EFGII, be parallelograms constituted upon equal bases вг, TG, and between the same parallels...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...therefore the triangle ABC is equal to the triangle DBC. Wherefore triangles, &c. QED PROP. XXXVIII. THEOR. Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD: the triangle...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 sider
...therefore the triangle ABC is equal to the triangle DBC. Wherefore triangles, &c. QED PROP. XXXVIII. THEOR. TRIANGLES upon equal bases, and between the same parallels, are equal to one auother. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF,...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 sider
...(Prop. 34.), and therefore are equal to one another. ED. PROPOSITION XXXVIII. THEOREM. Triangles on equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be on equal bases BC, EF, and between the same parallels BF, AD; the triangle...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 sider
.... AF the «ce» above tbe side В С, • ' t GEOMETRY. (с) Triangles which stand upon the same or upon equal bases, and between the same parallels, are equal to one another • . . . -17 (rf) Triangles which have equal altitudes are tourne another as their bases, and triangles...
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First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph Grund - 1830 - 12 sider
...that the magnitude of an angle does not depend upon the greatneii 12* 128 GEOMETRY. 5. Parallelograms upon equal bases and between the same parallels are equal to one another. 6. The area of a parallelogram is found by multiplying the basis given in rods, feet inches, &c. by...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1832 - 348 sider
...parallelogram, AB will be = CD, and AD=BC. THEOREM XIII. PL. l.fig.3l All parallelograms on the same or equal bases and between the same parallels are equal to one another ; that is, if BD=GH, and the lines BH and AF are parallel, then &e parallelogram ABDC—BDFE—EFHG....
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