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" Triangles upon equal bases, and between the same parallels, are equal to one another. "
The school Euclid: comprising the first four books, by A.K. Isbister - Side 43
av Euclides - 1862
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...the parallelogram ABCD is equal to the parallelogram EBCF. PROPOSITION 36. THEOREM. Parallelograms on equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH be parallelograms on equal bases SO, FG, and between the same parallels AH, BO- : the...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 sider
...Q EC (/. 34), and A DBC is half 0 BF, .-. A ABC = A DBC (Ax. 7). QED PROP. 38. THEOR. Triangles on equal bases and between the same parallels are equal to one another. Given triangles ABC, c DEF, on equal bases V BC, EF, and be- \ tween the same ^__^__ parallels BF,...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volum 1

Euclides - 1884
...therefore the triangle ABC is equal to the triangle DBC. Wherefore, triangles, &o. QED 86. PROPOSITION XXXVIII. — THEOREM. Triangles upon equal bases and...between the same parallels are - equal to one another. Let the triangles ABC, DEF be upon the equal bases BC, HF, and between the same parallels BF, AD. Then...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...the diameter AB bisects it ; and DBC is the half of DBCF; therefore ABC is equal to DBC. XXXVIII. — Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF, be upon equal bases BC, EF, and between the same parallels BF, AD. Produce...
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The Practical Teacher, Volum 3

1884
...alternate angles equal to each other, these two straight lines shall be parallel. Prop. 27, Bk. I. 2. Triangles upon equal bases and between the same parallels, are equal to one another. Prop. 38, Bk. I. 3. The straight line which joins the middle points of two sides of a triangle is equal...
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Annual Report of the Commissioners ..., Volum 50

1884
...the equal sides 350 yards ; find the area of the triangle. 5 marks. 7. Prove that parallelograms on equal bases, and between the same parallels, are equal to one another. 5 marks. 8. The diameters of two concentric circles are 55 feet and 45 feet ; find the area of the...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...F: prove that if the angle AFE is equal to the angle AFD the triangle is isosceles. 2. Triangles on equal bases, and between the same parallels, are equal to one another. ACB is a triangle, CD, BE parallel lines meeting AB and AC produced respectively in D and E: prove...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...DBC. Axiom 7. Therefore, triangles on the same base &c. QED PROPOSITION XXXVIII. THEOREM. Triangles on equal bases, and between the same parallels, are equal to one another. GIVEN that the triangles ABC and DBF are on equal bases BC, EF, and between the same parallels BF and...
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The Practical Teacher, Volum 4

1885
...upon the same side together equal to two right angles. Euclid, Book I., Prop. 29. 2. Parallelograms upon equal bases and between the same parallels are equal to one another. Euclid, Book I., Prep. 36. 3. Find a square equal to the sum of three given squares, and hence show...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...square on the straight line which is made up of the half and the part produced. 7. Parallelograms on equal bases, and between the same parallels, are equal to one another. 8. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...
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