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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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Pure mathematics, Volum 1

Edward Atkins - 1874
...parallelogram EBCF. Therefore, parallelograms, <fec. QED Proposition 36. — Theorem. Parallelograms upon equal bases, and between the same parallels, are equal to one anot/ier. Let ABCD, EFGH be parallelograms on equal bases BC, FG, and between the same parallels AH,...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...CB ; shew that the triangle AOD is equal to the triangle BOC. 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 1 • BC EF and between the same parallels Bf, AD :...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...Therefore the triangle ABC is equal to the triangle DBC. Therefore, triangles, &c. QED Proposition 38. — Theorem. Triangles upon equal bases, and between the same parallels, are equal to one another. Let tho triangles ABC, DEF, bo on equal bases BC, EF, and between the same parallels BF, AD. The triangle...
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A graduated course of problems in practical plane and solid geometry

James Martin (of the Wedgwood inst, Burslem.) - 1876
...therefore the triangles are equal, as ' ' the halves of equal things are equal." — Euc. I., Ax. 7. (D.) " Triangles upon equal bases and between the same parallels are equal to one another" (in area). — Euc. I.. 38. Ex. ABC, KEFNOTE. -It can be readily seen that A BC is a half of the parallelogram...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...the three interior angles of every triangle are together equal to two right angles. 4. Triangles on equal bases and between the same parallels are equal to one another. 5. If the square described on one of the sides of a triangle be equal to the squares described on the...
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Examination Christmas,1875

Education Department,London - 1876
...points of the opposite sides of any quadrilateral bisect each other at the point of intersection. 3. Triangles upon equal bases and between the same parallels are equal to each other. 4. If the square described on one of the sides of a triangle be equal to the squares described...
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The College calendar. [Continued as] The College calendar for the United ...

Scotland free church
...squares on the two parts, together with twice the rectangle contained by the parts. 4. Parallelograms upon equal bases and between the same parallels are equal to one another. 5. Describe a right-angled triangle upon a given base, having given also the perpendicular from the...
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Complete guide to the certificate and scholarship examinations, by a head ...

J T. Amner - 1878
...another square will be formed whose area is equal to one-half of the original square. 2. Triangles on equal bases and between the same parallels are equal to one another. Describe a triangle equal to one-sixteenth of a given triangle, and having the same angles. 3. The...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

1878
...together less than the perimeter, but greater than the semiperimeter of the triangle. 2. Parallelograms on equal bases and between the same parallels are equal to one another. Find a point in one of two given straight lines such that the perpendiculars drawn through it to both...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 sider
...triangle to the middle point of the opposite side EC : prove that the triangles APB and APC are equal. 38. Triangles upon equal bases and between the same parallels are equal to one another. The equal sides AB, AC of an isosceles triangle are produced to D, E, so that AD = 2AB, AE=2AC. Show...
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