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Boeken Boek 31 - 40 van 189 over If two triangles have one angle of the one equal to one angle of the other and the....
" If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. "
Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ... - Pagina 236
door John Keill - 1782 - 399 pagina’s
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Library of Useful Knowledge: Natural philosophy, Volume 3

Society for the Diffusion of Useful Knowledge (Great Britain) - 1834
...A c : A 6 : : A" E": A" F". Now it is demonstrated in treatises on geometry,* that if two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles are equiangular, and consequently...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - 1835 - 513 pagina’s
...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 about the equal angles reciprocally proportional, are equal to one another. Let AB,...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...respectively, and PQ is to pq as PB to ¡> b, or as ABtoaô. PROP. 33. (Eue. vi. 7.) If two Mangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals ; and, if one of the remaining angles be a right...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 pagina’s
...about the equal angles reciprocally proportional, are equal to one another. XV. 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...
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The Element of Geometry

John Playfair - 1836 - 114 pagina’s
...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 about the equal angles reciprocally proportional, are equal to one another. Let AB,...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 390 pagina’s
...triangles ABC, DEF are equiangular : wherefore, if the sides, &c. PROP. VI. THEOR. IF two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals ; the remaining angles are equal, each to each,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 pagina’s
...therefore the triangle ABC is equiangular to the triangle DEP. PROPOSITION VI. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides ahout the equal angles proportionals, the triangles shall be equiangular, and shall have...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

C. Reiner - 1837 - 215 pagina’s
...angles of the one are equal to the angles of the other, each to each. M. — Draw two triangles having one angle of the one equal to one angle of the other. P. — Let the angle bac be equal to the angle e df. ? M. — If the angle bac be equal to the angle...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 pagina’s
...other, have their sides about the equal angles reciprocally proportional : And pa allelograms which have one angle of the one equal to one angle of the ot/ier, and their sides about the equal angles reciprocally proportional, are equal to one another....
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...mean proportional DB is found. Which was to be done. PROP. XIV. THEOR. Equal parallelograms, which have one angle of the one equal to one angle of the other, ham their sides about the equal angles reciprocally proportional : and parallelograms that have one...
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