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" Prove that parallelograms on the same base and between the same parallels are equal in area. "
Examination Papers for Science Schools and Classes - Page 23
by Great Britain. Education Department. Department of Science and Art - 1882
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(Report).

Elizabethan club - 1880 - 156 pages
...the other sides, and AD, Cbe joined and intersect in E, show that the triangle AEB is isosceles. 2. Parallelograms on the same base, and between the same parallels are equal to each other. 3. If the sum of the squares described on two sides of a triangle is equal to the square...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...be greater than the third. How would the process fail if the last condition were not fulfilled ? 2. Parallelograms on the same base and between the same parallels are equal to each other. Show that if two triangles have two sides of the one equal to two sides of the other...
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Elements of Quaternions

Arthur Sherburne Hardy - Quaternions - 1881 - 252 pages
...the order of the factors, hence TV(a + /3)(a-/3)=2TVj8a, which is the proposition (Art. 41, 7). 13. Parallelograms on the same base and between the same parallels are equal. We have (Fig. 45) BE = BA + AE = BA + xBC. Operating with V . BC x V(BC . BE)=V(BC . BA), since VaBC2...
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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...and in it take any point P. Join P, A and P, B. The angle APB shall be greater than the angle ACB. 5. Parallelograms on the same base and between the same parallels are equal to one another. 6. Divide a given straight line into two parts, such that the difference of the squares...
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The preliminary army examination made easy, a guide to self-preparation

John Gibson - 1881 - 64 pages
...Propositions 33-40. 1. 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...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...result for the difference of two sides of a triangle and the third side. 3. Define a parallelogram ; and show that parallelograms on the same base and between the same parallels are equal in area. Enunciate a converse of this proposition. 4. Define an acute-angled triangle, an obtuse-angled...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...parallelograms are equal. It is plain that we want a connecting link in order to compare them. We know that parallelograms on the same base and between the same parallels are equal ; can •we construct a parallelogram on BC and between these parallels, which will then be equal to...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...kind being worth 10 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...
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The Competitor, Volumes 1-2

1882 - 486 pages
...same side, and also 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,...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 286 pages
...of C, AC to BD, AB to CD, and the area of ABC to the area of BCD. N^ Proposition 33. ' Theorem. — Parallelograms on the same base and between the same parallels are equal. Let ABDC, EFDC be two parallels A EB p grams, on the same base CD and between ' the same parallels...
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