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" Triangles upon equal bases, and between the same parallels, are equal to one another. "
A Treatise of Practical Surveying: Which is Demonstrated from Its First ... - Página 43
por Robert Gibson - 1806 - 452 páginas
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 páginas
...equal to the triangle DBC. Wherefore, triangles, &c. QED PROPOSITION 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. Then...
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Calendar

University of Cambridge - 1864 - 694 páginas
..." sq. on AB," and for the rectangle contained by AB and CO, " the rect. AB, CD." 1. TRIANGLES upon equal bases and between the same parallels are equal to one another. If a quadrilateral figure have two sides parallel, and the parallel sides be bisected, the line joining...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 páginas
...CF. Therefore, parallelograms upon the same, &c. QED PROPOSITION XXXVI. THEOREM. Parallelograms upon equal bases and between the same parallels, are equal to one another. Let ABCD, EFGIfbe parallelograms upon equal bases BC, FG, and between the same parallels AH, BG. Then...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 páginas
...equal to the triangle BBC. Wherefore, triangles, &c. QED PROP. XXXVIII.— THEOREM. Triangles upon equal bases and between the same parallels are equal to one another. (References — Prop. I. 31, 34, 36 ; ax. 7.) Let the triangles ABC, DEF, be on the equal bases BC,...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 páginas
...(Ax. 7) the triangle ABC is equal to the triangle FCB. PROPOSITION XLV. THEOR. Parallelograms upon equal bases and between the same parallels are equal to one another. Let ABCD, EFGH be two parallelograms on equal bases BC, FG, and between the same parallels AH, BG,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 páginas
...ABC is equal to the triangle DBG. Wherefore, triangles &c. QED PROPOSITION 38. 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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 páginas
...parallelogram-KBCR Therefore, parallelograms upon the same, &c. QED PROPOSITION XXXVI. THEOREM. Parallelograms upon equal bases and between the same parallels, are equal to one another. Let ABCD, EFGHbe parallelograms upon equal bases BC, FG, and between the same parallels AH, BG. ADEH...
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The New York Teacher, and the American Educational Monthly, Volumen5

1868 - 516 páginas
...this, if it is your case. See if you can make an affidavit, of your own knowledge, that triangles upon equal bases and between the same parallels are equal to one another, and that any two sides of a triangle are together greater than the third side ; and so on with all...
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Parliamentary Papers, Volumen21

Great Britain. Parliament. House of Commons - 1869 - 528 páginas
...4 feet 4 inches, and two windows, each 6 feet by 3 feet 2 inches. 3. Prove that parallelograms upon equal bases and between the same parallels are equal to one another. 4. It is required to describe a square equal to a given rectilineal figure. 5. The squares of the diagonals...
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Minutes of the General Council of Medical Education & Registration ..., Volumen6

General Medical Council (Great Britain) - 1869 - 402 páginas
...the amount of the bill? EUCLID AND ALGEBRA. 1. Bisect a given straight line. 2. Parallelograms upon equal bases and between the same parallels are equal to one another. 3. The angle at the centre of a circle is double of the angle at the circumference upon the same base....
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