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" ... that triangles on the same base and between the same parallels are equal... "
A Treatise of Practical Surveying: Which is Demonstrated from Its First ... - Strona 207
autor: Robert Gibson - 1806 - Liczba stron: 452
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Senate Documents, Otherwise Publ. as Public Documents and Executive ..., Tom 3

United States. Congress. Senate - 1880
...axiom upon which your proof in based, and mention any other which has been proposed instead of it. <• Triangles on the same base and between the same parallels are equal to each other. ¿92 NAVAL EDUCATION — 5. Describe a square which »hall be equal to a given rectilineal...
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Types of Ethical Theory, Tom 1

James Martineau - 1885 - Liczba stron: 539
...are the same eternal truths which God sees. For God sees as well as I that twice two are four, and that triangles on the same base and between the same parallels are equal. I can also discover, at least dimly, the relations of perfection among these ideas; and these relations...
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The American Practical Navigator: Being an Epitome of Navigation and ...

Nathaniel Bowditch - 1888 - Liczba stron: 647
...therefore the three parallelograms AUDC, BDFE, and EFHG are equal to each other. Cor. Hence it follows that triangles on the same base and between the same parallels are equal, since they are the half of the parallelograms on the same base and between the same parallels (by XXII)....
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - Liczba stron: 400
...same ||8; and for similar reasons, a CDRS = a ABRS. .-. a ABPQ = a CDRS. Proposition 37. THEOREM — Triangles on the same base, and between the same parallels, are equal in area. Draw AX j| to BP, and BY || to AQ ; and let them meet PQ, produced both ways, in X and Y respectively....
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - Liczba stron: 515
...solutions, and to point out the cases in which the full number cannot be obtained. PROPOSITION 37. THEOREM. Triangles on the same base and between the same parallels are equal to one another. Let ABC and DBC be As on the same base BC, and between the same ||s AD and BC, then...
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Calendar of Dalhousie College and University

Dalhousie University - 1891
...THREE HOURS. 1. Enunciate the propositions of Euclid dealing with the equality of triangles. 2. Prove that triangles on the same base and between the same parallels are equal. 3. If a straight line be divided into two parts, the square on the whole line is equal to the sum of...
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A Rudimentary Treatise on Land and Engineering Surveying: For Students and ...

Thomas Baker - 1891 - Liczba stron: 231
...purpose is here given. This method is founded on a well-known proposition of Euclid, in which it is shewn that triangles on the same base, and between the same parallels, are equal. Let ABC, ABDbe triangles on the same base AB, and between the same parallels AB, CD; then the triangle...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding ..., Księga 1

James Andrew Blaikie, William Thomson - 1891
...the parallelogram. 36. Parallelograms on equal bases and between the same parallels are equal. 37. Triangles on the same base and between the same parallels are equal. 38. Triangles on equal bases and between the same parallels are equal. 39. Equal triangles on the same...
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Examinations Papers

1891
...angle LMN to the angle PQR, also the side MN equal to QR; prove that the side LMis equal to PQ. 2. Triangles on the same base and between the same parallels are equal to one another. 3. In a right-angled triangle the square on the side opposite the right angle is equal...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - Liczba stron: 79
...another. 36. Parallelograms on equal bases and between the same parallels are equal to one another. 37. Triangles on the same base and between the same parallels are equal to one another. 38. Triangles on equal bases and between the same parallels are equal to one another....
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