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" TRIANGLES upon the same base, and between the same parallels, are equal to one another. "
Inventional Geometry: A Series of Problems, Intended to Familiarize the ... - Página 43
por William George Spencer - 1877 - 97 páginas
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...to a given straight line of unlimited length from a given point without it. 2. Parallelograms on the same base and between the same parallels are equal to one another. 3. If a straight line be bisected, and produced to any point, the rectangle contained by the whole...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...The diagonals of a parallelogram bisect each other. PROPOSITION 35. THEOREM. Parallelograms on the same base, and between the same parallels, are equal to one another. .. Let the parallelograms ABCD, EBCFbe on the '• same base BC, and between the same parallels AF,...
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Inventional Geometry: A Series of Problems, Intended to Familiarize the ...

William George Spencer - 1876 - 97 páginas
...appropriate name. gloa by means of one diagonal, and the other into two equal and similar triangles bj means of the other diagonal. 136. Can you make two...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 páginas
...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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 páginas
...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 ; The triangle...
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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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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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The Madras University Calendar, Volumen1

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, Volumen1

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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