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" Because the angle A is equal to the angle C, and the angle... "
The Elements of Euclid: With Select Theorems Out of Archimedes - Strona 11
autor: Euclid, André Tacquet - 1727 - Liczba stron: 239
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - Liczba stron: 230
...quadrilateral ABHG is similar and similarly situated to the quadrilateral CDEF. DEMONSTRATION. Because the angle A is equal to the angle C, and the angle ABG to CDF, therefore the remaining angle AGB is equal to the remaining angle CFD (b), wherefore the...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - Liczba stron: 396
...quadrilateral ABIIG is similar and similarly situated to the quadrilateral CDEF. DEMONSTRATION. Because the angle A is equal to the angle C, and the angle ABG to CDF, therefore the remaining angle AGB is equal to the remaining angle CFD (b), wherefore the...
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The elements of geometry, in eight books; or, First step in applied logic

L J V. Gerard - 1874 - Liczba stron: 428
...the opposite angles are equal to each other, is a parallelogram. Let ABCD be a quadrangle of which the angle A is equal to the angle C, and the angle B equal to the angle D. Because the angles A and B are respectively equal to the angles C and D, the...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - Liczba stron: 236
...are equal. Let ABCD be a four-sided figure; it is required to prove that it is a parallelogram, 1. If the angle A is equal to the angle C, and the angle B equal to the angle i), Since all the angles of the figure taken together make four right angles (I....
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Key to Exercises in Euclid

Isaac Todhunter - 1880 - Liczba stron: 208
...27. Similarly it may be shewn that AD is parallel to BC. 77. Let ABCD be a quadrilateral such that the angle A is equal to the angle C, and the angle B equal to the angle D : then the figure shall be a parallelogram. The angle A is equal to the angle...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - 1901 - Liczba stron: 460
...ABCD be a parallelogram It is required to prove that AB is equal to DC and AD equal to BC; also that the angle A is equal to the angle C, and the angle B equal to the angle D. Proof. Join a pair of opposite vertices A and C. Because AB is parallel to...
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