Suche Bilder Maps Play YouTube News Gmail Drive Mehr »
Anmelden
 Books Bücher
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.
The first six books of the Elements of Euclid, with numerous exercises - Seite 126
von Euclides - 1853 - 147 Seiten
Vollansicht - Über dieses Buch

## Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 Seiten
...angle of the other, the sides about the equal angles are reciprocally proportional ; and if triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles reciprocally proportional, these triangles are equal. BAC equal...
Vollansicht - Über dieses Buch

## Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...angle of the other, the sides about the equal angles are reciprocally proportional; and if triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles reciprocally proportional, these triangles are equal. And because...
Vollansicht - Über dieses Buch

## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 Seiten
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROP. VI. THEOR. If tix>o triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have...
Vollansicht - Über dieses Buch

## Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 Seiten
...triangles will be equiangular. Equal parallelograms, and also equal triangles, which have one angle of one equal to one angle of the other, have their sides...angles reciprocally proportional ; and parallelograms, and also • triangles, which have one angle of one equal to one angle of the other, and their sides...
Vollansicht - Über dieses Buch

## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 Seiten
...reciprocally proportional. Cor. 3. (Eue. vi. 14.) And, in the same manner, it may be shown, that any two parallelograms which 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 ; and conversely....
Vollansicht - Über dieses Buch

## A Collection of Cambridge Mathematical Examination Papers: Papers in the ...

...a given triangle. 12. Ratios that are the same to the same ratio, are the same to one another. 13. Equal parallelograms, which have one angle of the...about the equal angles reciprocally proportional. M. In a plane triangle, of which the sides are a, b, c, and opposite angles A, B, C, prove that sin.A...
Vollansicht - Über dieses Buch

## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 Seiten
...5.) to the parallelogram BC. Therefore equal parallelograms, &c. QED PROP. XV. THEOR. Equal triangles which have one angle of the one equal to one angle...about the equal angles reciprocally proportional: Jind triangles which have one angle in the one equal to one angle in the other, and their sides about...
Vollansicht - Über dieses Buch

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 Seiten
...to the parallelogram BC. Therefore equal parallelograms, &c. QED PROP. XV. THEOR. * Equal triangles which have one angle of the one equal to one angle...have their sides about the equal angles reciprocally proportiontil : And triangles which have one angle in the one equal to one angle in the other, and...
Vollansicht - Über dieses Buch

## Library of Useful Knowledge: Natural philosophy, Band 3

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...
Vollansicht - Über dieses Buch

## The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...was to be done. PROPOSITION XIV. THEOR. — Equal parallelogram* n.hirh hare one angle of tie oaf, equal to one angle of the other, have their sides about the eyual angles reciprocally proportional ; and parallelograms that have one angle of the one, equal to...
Vollansicht - Über dieses Buch