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" TRIANGLES upon the same base, and between the same parallels, are equal to one another. "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Seite 45
von Euclides - 1838
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Inventional Geometry: A Series of Problems, Intended to Familiarize the ...

William George Spencer - 1876 - 97 Seiten
...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 two points...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 Seiten
...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 upon...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...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 — *-(*— §) >• , and...
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The Madras University Calendar, Band 1

University of Madras - 1876
...D. Prove that the exterior angle ACD is greater than the angle ABC. III. Prove that triangles on the same base and between the same parallels are equal to one another. (a) Two equal triangles have two sides of the one equal to two sides of the other. What con elusion...
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The Teachers' assistant and pupil teachers' guide, Band 1

1876
...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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Examination Christmas,1875

Education Department,London - 1876
...? 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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A graduated course of problems in practical plane and solid geometry

James Martin (of the Wedgwood inst, Burslem.) - 1876
...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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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...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, BC ; The parallelogram...
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Inventional Geometry: A Series of Problems : Intended to Familiarize the ...

William George Spencer - 1876 - 97 Seiten
...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 two points...
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Inventional Geometry: A Series of Problems, Intended to Familiarize the ...

William George Spencer - 1877 - 97 Seiten
...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 two points...
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