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" TRIANGLES upon the same base, and between the same parallels, are equal to one another. "
Skeleton propositions &c. of Euclid, books i and ii, with references, by H ... - Pagina xxxviii
door Euclides - 1868
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 pagina’s
...of the one shall be equal to the angle contained by the two sides, equal to them, of the other. 2. Triangles upon the same base, and between the same parallels, are equal to one another. 3. If the square described upon one of the sides of a triangle be equal to the squares described...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pagina’s
...to the parallelogram EFGH (Ax. 1). Therefore, parallelograms, &c. QED Proposition 37. — Theorem. Triangles upon the same base, and between the same parallels, are equal to one another. Let the triangles ABC, DBC be on the same base BC, and between the same parallels AD, BC ;...
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Inventional Geometry: A Series of Problems, Intended to Familiarize the ...

William George Spencer - 1876 - 118 pagina’s
...make two triangles that shall be equal to each other, and yet not similar ? 137. Can you show that all triangles upon the same base and between the same parallels are equal to one another 'i 138. Can you place a circle, whose radius is 1J inch, so that its circumference may touch...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pagina’s
...equal to two right angles, the two straight lines shall be parallel to one another. 8. Parallelograms upon the same base, and between the same parallels, are equal to one another. Are the parallelograms equal in all respects ? 1. Simplify 1£ — | -j 1 — *-(*— §)...
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A graduated course of problems in practical plane and solid geometry

James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 pagina’s
...on the following problems he should thoroughly master the subjoined theorems.) (A.) "Parallelograms upon the same base, and between the same parallels, are equal to each other" (in area). — Euc. I., 35. Ex. ABCD, DBCF— NOTE 1. — " Between the same parallels...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pagina’s
...? Construct the triangle when each side is equal to half the sum of the other two. SECTION III. 2. Triangles upon the same base and between the same parallels are equal. A line drawn through the middle points of the sides of a triangle is parallel to the base. 3. In any...
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The Teachers' assistant and pupil teachers' guide, Volume 1

1876 - 400 pagina’s
...equal to two right angles. What ratio does the angle of a regular hexagon bear to a rig] it angle? 2. Triangles upon the same base and between the same parallels are equal. A line drawn through the middle points of the sides of the triangle is parallel to the base. 3. In...
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Inventional Geometry: A Series of Problems : Intended to Familiarize the ...

William George Spencer - 1876 - 118 pagina’s
...make two triangles that shall be equal to each other, and yet not similar ? 137. Can you show that all triangles upon the same base and between the same parallels are equal to one another ? 138. Can you place a circle, whose radius is \\ inch, so that its circumference may touch...
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Inventional Geometry: A Series of Problems, Intended to Familiarize the ...

William George Spencer - 1877 - 108 pagina’s
...make two triangles that shall be equal to each other, and yet not similar ? 137. Can you show that all triangles upon the same base and between the same parallels are equal to one another ? 138. Can you place a circle, whose radius is 1J inch, so that its circumference may touch...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pagina’s
...two equal parts. Therefore, the opposite sides, &c. QED Proposition 35. — Theorem. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF be on the same base BC, and between the same parallels AF,...
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