Zoeken Afbeeldingen Maps Play YouTube Nieuws Gmail Drive Meer »
Inloggen
Boeken Boek
" 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 Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Pagina 163
door Robert Simson - 1804
Volledige weergave - Over dit boek

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

Euclides - 1826 - 226 pagina’s
...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...
Volledige weergave - Over dit boek

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

Robert Simson - 1827 - 546 pagina’s
...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...
Volledige weergave - Over dit boek

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

Pierce Morton - 1830 - 584 pagina’s
...of the ratios of the sides about the equal angles, or as the rectangles under those sides . G6 (/) Triangles which have one angle of the one equal to one angle of the other, and the sides about the equal angles reciprocally proportional, are equal to one another; and, conversely,...
Volledige weergave - Over dit boek

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

John Martin Frederick Wright - 1831 - 282 pagina’s
...Ratios that are the same to the same ratio, are the same to one another. 13. 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. M. In a plane triangle, of which the sides...
Volledige weergave - Over dit boek

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

John Playfair - 1832 - 358 pagina’s
...parallelogram AB is equal (9. 5.) to the parallelogram BC. Therefore equal parallelograms, &c. QED PROP. XV. THEOR. Equal triangles which have one angle...the one equal to one angle of the other have their sides about the equal angles reciprocally proportional: Jind triangles which have one angle in the...
Volledige weergave - Over dit boek

Library of Useful Knowledge: Natural philosophy, Volume 3

1834 - 578 pagina’s
...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...
Volledige weergave - Over dit boek

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

Robert Simson - 1835 - 544 pagina’s
...the parallelogram AB is equal ° to the parallelogram BC. Therefore, " equal parallelograms" &c. QED Book VI. PROP. XV. THEOR. , — • — ' Equal triangles...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...
Volledige weergave - Over dit boek

Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 pagina’s
...the altitude of the first, the two triangles will be equal to one another (11. Cor. 2.). PROP. 40. Triangles which have one angle of the one equal to one angle of the other, are to one another in the ratio which is compounded of the ratios of the sides about the equal angles....
Volledige weergave - Over dit boek

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 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,...
Volledige weergave - Over dit boek

Elements of Geometry, Theoretical and Practical: Including Constructions of ...

Eugenius Nulty - 1836 - 242 pagina’s
...Multiply these equal ratios, and there will result ABС:DEF::AС.BG: DF.EH(th.T). THEOREM XXIV. 69. Two triangles which have one angle of the one equal to one angle of the other, are proportional to the products of the sides which contain those angles. E в Let AB С, DEF be two...
Volledige weergave - Over dit boek




  1. Mijn bibliotheek
  2. Help
  3. Geavanceerd zoeken naar boeken
  4. ePub downloaden
  5. Pdf downloaden