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Triangles upon equal bases, and between the same parallels, are equal to one another.
A Treatise of Practical Surveying, ... - Pągina 35
per Robert Gibson - 1808 - 440 pągines
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## The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1821 - 544 pągines
...being a parallelogram, AB will be = CD and AD ~ BC. THEO. XIII. PL. I. Jig. 31. All parallelograma on the same or equal bases and between the same parallels, are equal to one another, that is, if BD = GH, and the lines £H and AF parallel, then the paralleloe-ram JIBDC=,BDFE.= EfHG. For AC=BD=EF(\>y...
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## American Practical Navigator

1821
...For it has been proved, that ABDC being a parallelogram, AB is equal to CD, and AC equal to BD. JLj. All parallelograms on the same or equal bases, and between the same pantl^ lels, are equ.il to each other ; that is, if BD and GH be equal, and the lines BH, AF be parallel,...
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## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 pągines
...equal to the triangle DBC. Wherefore triangles, &c. QED Propoķiķion XXXVIII. 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 : The...
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## Elements of Geometry, Containing the First Six Books of Euclid

Euclid, Phillips - 1826 - 180 pągines
...parallelograms placed upon the same base, 8ec, QED PROPOSITION XXXVI. THEOBEM. Parallelograms constituted upon equal bases, and between the same parallels, are equal to one another, Let ABCD, EFGII, be parallelograms constituted upon equal bases вг, TG, and between the same parallels...
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## The New American Practical Navigator: Being an Epitome of Navigation ...

Nathaniel Bowditch - 1826 - 617 pągines
...For it has been proved, that ABDC being a parallelogram, AB is equal to CD, and AC equal to BD. L* AU parallelograms on the same or equal bases, and between the same parallels, an equal to each other ; that is, if BD and GH be equal, and the lines BH, AF be parallel, the parallelograms...
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## Euclid's Elements of geometry, transl. To which are added ..., Llibres 1-6

Euclides - 1826
...parallelograms placed upon the same base, &c. QED PROPOSITION XXXVI. THEOREM. Parallelograms constituted upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH, be parallelograms constituted upon equal bases вс, FG, and between the same parallels...
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## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 pągines
...EBCF. Therefore parallelograms upon the same base, &c. QED PROP. XXXVI. THEOR. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABC^DjEFGH, be parallelograms upon equal bases BC, FG, and between the same parallels AH, BG: the...
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## Elements of geometry: Being chiefly a selection from Playfair's geometry

John Playfair - 1829 - 186 pągines
...(Prop. 34.), and therefore are equal to one another. ED. PROPOSITION XXXVIII. THEOREM. Triangles on 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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## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 pągines
...its base and altitude . cor. 16 •и two Greek words, signifying " along one (i) Parallelograms upon the same or equal bases, and between the same parallels, are equal to one another 16 (A) If a parallelogram and a triangle stand upon thesarae base, and between the same parallels,...
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## First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph GRUND - 1830 - 12 pągines
...the magnitude of an angle does not depend upon the greatneii 12* 128 GEOMETRY. 5. Parallelograms upon equal bases and between the same parallels are equal to one another. 6. The area of a parallelogram is found by multiplying the basis given in rods, feet inches, &c. by...
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