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" In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal... "
The Theory and Practice of Surveying: Containing All the Instructions ... - Página 173
por Robert Gibson - 1832 - 348 páginas
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Types of Ethical Theory, Volumen1

James Martineau - 1885 - 539 páginas
...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 - 647 páginas
...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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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 páginas
...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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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 páginas
...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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A Rudimentary Treatise on Land and Engineering Surveying: For Students and ...

Thomas Baker - 1891 - 231 páginas
...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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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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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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A Text-book of Geometrical Deductions: Book I [-II] Corresponding ..., Libro 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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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 páginas
...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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Elements of Deductive Logic

Noah Knowles Davis - 1893 - 208 páginas
...quantity, treats almost exclusively of such abstract generalities; as 6=2x3; a?—y' = (x+y) (x—y); Triangles on the same base, and between the same parallels, are equal. § 128. Inference in the quantitative whole is immediate and mediate. Immediate inference from equivalent...
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