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Llibres Llibres 91 - 100 de 169 sobre Triangles upon equal bases, and between the same parallels, are equal to one another..
" Triangles upon equal bases, and between the same parallels, are equal to one another. "
A Treatise of Practical Surveying, ... - Pāgina 35
per Robert Gibson - 1808 - 440 pāgines
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First Book of Mathematics: Being an Easy and Practical Introduction to the ...

Hugo Reid - 1872 - 124 pāgines
...ote. — This illustrates the important geometrical truth, that — Parallelograms on the same base and between the same parallels are equal to one another; that is, equal in area. Fic.34 AEFD and ABCD are on the same base AD and between the same parallels AD and EC....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 pāgines
...reason thus : Each of the OĢ is double of &BDC; 1.34. QED PROPOSITION XXXVI. THEOREM. Parallelograms on equal bases, and between the same parallels, are equal to one another. A. J) M !_-. JT Let the Os A BCD, EFGH be on equal bases BC, FG, and between the same II s AH, BG....
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Practical Plane and Solid Geometry: For Use in Science Classes and Higher ...

Henry Angel - 1873 - 182 pāgines
...problems of this chapter. b. Parallelograms (squares, rectangles, and rhomboid figures) or triangles upon the same or equal bases, and between the same parallels, are equal in area (Eviclid, Tk. I., Defs. 35-38). a. The squares on the base and perpendicular of a right-angled...
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The acting teacher's and student's in training guide and text book for ...

Henry Major - 1873
...bisects it ; and DEC is the half of DBCF ; therefore ABC is equal to DEC. XXXVIII. — Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF, be upon equal bases BC, EF, and between the same parallels BF, AD. Produce...
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Pure Mathematics, Volum 1

1874
...to the triangle DBC. Therefore, triangles, &c. Q. E, D. Proposition 38. — Theorem, Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF, be on equal bases BC, EF, and between the same parallels BF, AD. The triangle...
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Recent military, naval, and civil service examination papers in mathematics ...

1874
...consecutive angles of a quadrilateral is half the sum of the two remaining angles. 2. Parallelograms -on equal bases, and between the same parallels, are equal to one another. 3. Divide a given straight line into two parts, so that the rectangle contained by the whole and one...
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The Elements of Euclid, containing the first six books, with a selection of ...

James Martin (of the Wedgwood inst, Burslem) - 1874
...equal to the triangle DBC. Wherefore, triangles, &c. QED PROPOSITION 38. — Theorem. Triangles upon equal bases and between the same parallels, are equal to one another. Let the triangles ABC, DEF be upon' equal bases BC, EF, and between the same parallels BF, AD. Then...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Charles Mansford - 1874
...CB ; shew that the triangle AOD is equal to the triangle BOC. PROPOSITION 38. THEOREM. Triangles on equal bases, and between the same parallels, are equal to one another. . Let the triangles ABC, DEF be on equal bases 1 • BC EF and between the same parallels Bf, AD :...
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A graduated course of problems in practical plane and solid geometry

James Martin (of the Wedgwood inst, Burslem.) - 1876
...are equal, as ' ' the halves of equal things are equal." — Euc. I., Ax. 7. (D.) " Triangles upon equal bases and between the same parallels are equal to one another" (in area). — Euc. I.. 38. Ex. ABC, KEFNOTE. -It can be readily seen that A BC is a half of the parallelogram...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 pāgines
...the three interior angles of every triangle are together equal to two right angles. 4. Triangles on equal bases and between the same parallels are equal to one another. 5. If the square described on one of the sides of a triangle be equal to the squares described on the...
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