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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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The Elements of Euclid: For the Use of Schools and Colleges; Comprising the ...

Euclid - 1883
...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 parallelogram...
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The Practical Teacher; with which is Incorporated the Practical ..., Band 2

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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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 Seiten
...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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An introduction to geometry, consisting of Euclid's Elements, book i ..., Band 1

Euclides - 1884
...order would be improved in respect of convenience. 83. PROPOSITION XXXV. — THEOREM. Parallelograms upon the same base and between the same parallels are equal to one another. Let the parallelograms ABCD, EBCFloe upon the same base BC, and between the same parallels AF, BC. Then these...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...ABC is equal to BCD ; therefore the triangle ABC is equrj to BCD. AE J> J1 XXXV. — Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF, be upon the same base BC, and between the same parallels AF, BC. If the...
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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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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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