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" Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And triangles which have one angle in the one equal to one angle in the other, and their sides about the... "
Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund Stone - Seite 145
von Euclid - 1728
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 Seiten
...parallelograms, &c. QED PROP. XV. THEOR. EQUAL triangles, which have one angle of one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and triangles which have one angle in one equal to one angle in the other, and their sides about...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...D. • Book VI. PROP. XV. THEOR. EQUAL triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : and triangles which have one angle in the one equal to one angle in the other, and their sides about...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...Booif Vl. PROP. XIV. TttEOR. EQUAL parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional: And parallelograms that have one angle of the one equal to one angle of the other, and their sides...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 Seiten
...be done. PROP. XIV. THEOR. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And parallelograms which hare one angle of the one equal to one angle of the other, and their sides...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 Seiten
...ELEMBNTI or EUCLID. PROP. XIV. THEOR. parallelograms, which have ont angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. And parallelograms that have one angle of the ene equal to one angle of the other, and their tides...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 Seiten
...• * ' Equivalent triangles ABC, ADE, which have one angle BAG of the one, equal to one angle DAE of the other, have their sides about the equal angles reciprocally proportional ; and triangles which have one angle of the one equal to- one angle of the other, and their sides about...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 Seiten
...be done. PROP. XIV. THEOR. Equal parallelograms, which ave one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional .- and parallelograms that have one angle of the one equal to one angle of the other, and their sides...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 210 Seiten
...PROPOSITION XIV. THEOREM. Equal parallelograms, which have one angle of one parallelogram equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms which have one angle of one parallelogram equal to one angle of the other, and...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 Seiten
...one another ; and, conversely, equal triangles which have one. angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. For, if the triangles be completed into parallelograms having the same equal angles and the same sides...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 Seiten
...Book VI. PROP. XV. THEOR. v-~ ^ Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And triangles which have one angle in the one equal to one angle in the other, and their sides about...
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