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 Książki Książki 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. An Elementary Treatise on the Geometrical and Algebraical Investigation of ... - Strona 81
autor: Daniel Cresswell - 1817 - Liczba stron: 436
Pełny widok - Informacje o książce ## Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...less than a right angle. 4. To describe an equilateral and equiangular hexagon in a given circle. 5. If two triangles have one angle of the one equal to one angle of the other and the sides about two other angles proportionals, and if each of the remaining angles be not less than...
Pełny widok - Informacje o książce ## Report on the examination for admission to the Royal military academy at ...

...described on P 0 as diameter will pass through all the points of contact. 8. 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...
Pełny widok - Informacje o książce ## Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...into one Theorem, Prop. 1, VI, and might also be united here. PROP. 15. — THEOn. Equal angles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proD. 1 H. &C. 2 7. V. 3 1,V. 4 11, V. 5 Cone....
Pełny widok - Informacje o książce ## Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Tom 2

Robert Potts - 1863
...and the other two sides produced. Also describe a circle touching three sides of a parallelogram. 6. 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, triangle shall be equiangular, and shall have...
Pełny widok - Informacje o książce ## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...EC. (v. 9.) Therefore equal parallelograms, &c. QED PROPOSITION XV. THEOREM. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocallg proportional : and converselg, triangles which...
Pełny widok - Informacje o książce ## Report on Education in the Parochial Schools of the Counties of Aberdeen ...

Simon Somerville Laurie - 1865 - Liczba stron: 401
...to two right angles." ft. To inscribe an equilateral and equiangular pentagon in a given circle. 0. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proper tionals, the triangles shall be equiangular. 7. Similar polygons...
Pełny widok - Informacje o książce ## The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...equiangular, and shall have those angles equal which are opposite to the homologous sides. Prop. 7. If two triangles have one angle of the one equal to one angle of tha other, and the sides about two other angles proportionals ; then, if each of the remaining angles...
Pełny widok - Informacje o książce ## Calendar of Dalhousie College and University

Dalhousie University - 1884
...the angles of two triangles are proportional, the triangles -are equiangular. 8. Equal triangles that have one angle of the one -equal to one angle of the other, have the sides about the equal angles reciprocally proportional. Extend the enunciation, shewing why...
Pełny widok - Informacje o książce ## The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...= ir BC: ir FE; • ||m AB : ||m FE = ir BC: r FE; PROPOSITION 15. THEOREMS. 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. Conversely : Triangles which have...
Pełny widok - Informacje o książce ## Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

...in E, shew that AB touches the circumscribing circle of the triangle CDE. 10. 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...
Pełny widok - Informacje o książce