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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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Guide to preliminary army examination

John Gibson - 1881
...equal to one another, and that the diameter bisects the parallelogram. 4. Prove that parallelograms upon the same base and between the same parallels are equal to one another. 5. Prove that in any right-angled triangle ABC, the square which is described upon the side AB subtending...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...at the vertices of any two of its opposite angles. PROP. XXXV. THEOREM. Parallslogramt upon the tame base, and between the same parallels, are equal to one another. Let the parallelograms AC, BF be upon the same base BC, and and between the same parallels AF, BC. The parallelogram...
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The preliminary army examination made easy, a guide to self-preparation

John Gibson - 1881
...The opposite sides and angles of a parallelogram are equal to one another. 2. Parallelograms on the same base and between the same parallels are equal to one another. 3. Triangles on the same base and between the same parallels are equal. 4. Equal triangles on the same...
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Class lessons on Euclid

Marianne Nops - 1882
...||""™ ABCD = ||*™m EFGH (ax. 1). Wherefore parallelograms, &c. — QED PROPOSITION XXXVII. THEOREM. Triangles upon the same base and between the same parallels are equal to one another. Let the As ABC, DBC be on the same base BC and between the same ||s AD, BC. A ABC shall be equal to A DBC....
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The Cambridge Examiner, Band 2

1882
...practical proof of this proposition. 7. Enunciate the propositions which tell when lines are parallel. 8. Triangles upon the same base and between the same parallels are equal to one another. 9. If the square described upon one of the sides of a triangle be equal to the squares described upon...
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The Practical Teacher, Band 1,Ausgabe 1

1882
...equal to two right angles ; the two straight lines shall be parallel to one another. 3. Parallelograms upon the same base, and between the same parallels, are equal to one another. Arc the parallelograms equal in all respects ? Algebra. 1. Simplify ij — J{i — \(x— Ji}, and...
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The Competitor, Bände 3-4

1883
...circles of given unequal radii, so as to tonch 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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The Competitor, Bände 1-2

1882
...the two interior angles on the same side together equal to two right angles. 4. Parallelograms on the same base, 'and between the same parallels, are equal to one another. 5. In any right-angled triangle FGH, the square which is described on the side FH, subtending the right...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...each. Find how many he has of each kind. 1. Write down the three postulates. 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 squares of the whole line thus produced,...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...two adjacent sides of another parallelogram, the other sides will also be parallel. SECTION III. 1. Triangles upon the same base and between the same parallels are equal. Construct a triangle equal to a given triangle and having a base three times as great. 2. To a given...
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