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 Llibres Llibres 51 - 60 de 195 sobre Parallelograms upon the same base and between the same parallels, are equal to one....
Parallelograms upon the same base and between the same parallels, are equal to one another.
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Pągina 41
per Euclid, John Playfair - 1826 - 320 pągines
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 pągines
...adjacent angles of a parallelogram is equal to two right angles. PROP. XXXV. THEOR. Parallelograms upon, the same base and between the same parallels, are equal to one another. > (SEE THE 2d AND 3d FIGURES.) 34 If the sides AD, DF of the parallelograms ABCD, DBCF opposite to...
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## A Complete Treatise on Practical Land-surveying, in All Its Departments ...

Anthony Nesbit - 1847 - 426 pągines
...parallelogram ABCD, is equal to the parallelogram DBCE. (Euc. I. 35. Simp. II. 2. Em. HI. 6.) THEOREM VL Let the triangles ABC, DBC be upon the same base BC,...between the same parallels AD, BC ; the triangle ABC is equal to the triangle DBC. (Euc. I. 37. Simp. II. 2. Em. II. 10.) THEOREM VH. Let ABC be a right-angled...
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## The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...KLNC (Ax.2) = Dm BMNC. Wherefore the sum of the areas &c. — QED PEOP. XXXVII. THEOR. GEN. ENUN. — Triangles upon the same base, and between the same parallels, are equal to one another. PART. ENUN. — Let the A ABC, DBC be upon the same base BC, and between the same || s AD, BC ; then...
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## THE SOLUTIONS OF GEOMETRICAL PROBLEMS

...CAMBRIDGE, Nov. 1847. GEOMETRICAL PROBLEMS. ST JOHN'S COLLEGE. DEC. 1830. (No. I.) 1. PARALLELOGRAMS upon the same base and between the same parallels are equal to one another. 2. Of unequal magnitudes,, the greater has a greater ratio to the same than the less. 3. If the diameter...
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## Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall - 1848
...point out how the construction fails when that condition is not fulfilled. 2. Prove that parallelograms upon the same base and between the same parallels are equal to one another. Show hence that the area of a parallelogram is properly measured by the product of the numbers that...
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## Minutes of the Committee of Council on Education, with Appendices, Volum 2

...point out how the construction fails when that condition is not fulfilled. 2. Prove that parallelograms upon the same base and between the same parallels are equal to one another. Shew hence that the area of a parallelogram is properly measured by the product of the numbers that...
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## Report of the Committee of Council on Education (England and Wales ..., Edició 2

...point out how the construction fails when that condition is not fulfilled. 2. Prove that parallelograms upon the same base and between the same parallels are equal to one another. Shew hence that the area of a parallelogram is properly measured by the product of the numbers that...
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## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...diameter bisects them, that is, divides them into two equal parts. PROP. XXXV. THEOREM. Parallelograms upon the same base, and between the same parallels, are equal to one another. PROP. XXXVI. THEOREM. PROP. XXXVII. THEOREM. Triangles upon the same base anti between the same parallels,...
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## Principles of geometry, mensuration, trigonometry, land-surveying, and ...

...ADGK = the parallelogram ADCB; therefore the triangle ADF is also = half the parallelogram ADCB. Cor. Triangles upon the same base and between the same parallels are equal. Application of this Theorem. 1. To show that the rectangle BCGF _—^— A o contains double the surface...
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## The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849
...diameter BC divides the parallelogram ACDB into two equal parts. QED PROP. XXXV. THEOR. Parallelograms upon the same base and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF (see the 2d and 3d figures) be upon the same base BC, and between the same...
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