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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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The Practical Teacher; with which is Incorporated the Practical ..., Volumen2

Joseph Hughes - 1883
...Inspector. Euclid. MALES. [All generally understood abbreviations for -sards may be used.] 1. Parallelograms upon the same base, and between the same parallels, are equal to one another. Prop. XXXV., Bk. I. 2. To describe a parallelogram equal to a given rectilineal nre, and having an...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 páginas
...divides the parallelogram AGDB into two equal parts. PROPOSITION 85. THEOREM. Parallelograms on 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 sameparallels AF, BG: the...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 páginas
...area of the first is the same multiple of the area of the other. PROP. 37. THEOR. Triangles on the same base and between the same parallels are equal to one another. Given ABC, DBC, two triangles on the base BC, and between the parallels BC, AD. To prove A ABC = A...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1884
...more together 1. Distinguish between a quadrilateral, a parallelogram, a rhombus, and a square. 2. Triangles upon the same base and between the same parallels, are equal to one another. 3. In every triangle, the square of the side subtending either of the acute angles, is less than the...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...is eqaal to the same EBCH ; therefore, also the parallelogram ABCJ) is equal to EFGH. JLX.XVJI. — Triangles upon the same base, and between the same parallels, are equal to one another. Let the triangles be ABC, DBC. Produce AD both ways to the points E, F, and through B draw BE parallel...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volumen1

Euclides - 1884
...EFG and EBCaxo halves of equal things ; also draw the inference. 85. PROPOSITION XXXVII. — THEOREM. Triangles upon the same base and between the same parallels are equal to one another. Let the triangles ABC, DBC be upon the same base BC, and between the same parallels AD, BC. Then ABC...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...this proposition. How many of the exterior angles of any triangle must be obtuse ? 4. Parallelograms upon the same base, and between the same parallels, are equal to one another. 5. Describe a square that shall be equal to a given rectilineal figure. Divide a given straight line...
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The Civil service year book and official calendar

1884
...circles of given unequal radii so as to touch each other and a given straight line. 6. Parallelograms upon the same base, and between the same parallels, are equal to one another. 7. In obtuse.angled triangles, if a perpendicular be drawn from any one of the acute angles to the...
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Stewart's guide-book to the queen's scholarship and certificate examinations ...

Stewart W. and co - 1884
...respectively, then PR and liV are respectively parallel to straight lines KM. and MN. QED SliCTION III. 1. (a) Triangles upon the same base and between the same parallels are equal. (b.) Construct a triangle equal to a given triangle and having a base three times as great (a) See...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...Therefore, the opposite sides &c. Proved. I. 4. E. r. PROPOSITION XXXV. THEOREM. Parallelograms on the same base, and between the same parallels, are equal to one another. GIVEN that the parallelograms ABCD and EBCF are on the same base BC, and between the same parallels...
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