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 Boeken Boek 51 - 60 van 192 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
Volledige weergave - Over dit boek ## Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 pagina’s
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION VI. THEOB. — If two triangles have one angle of the one equal to one angle of the oiher, and the sides about the equal angles proportionals, the triangles shall be equiangular, and...
Volledige weergave - Over dit boek ## Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846
...therefore ex oequali, BD will be to CG, as I to L (by Prop. 33, B. 5). COR. 2. — Triangles which have one angle of the one equal to one angle of the other, are to each other in a ratio compounded of the ratios of the sides about the equal angles. COR. 3....
Volledige weergave - Over dit boek ## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...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 the equal angles reciprocally proportional, are equal to one another. First,...
Volledige weergave - Over dit boek ## Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1848
...satisfy one of the tests of the former. 2. Give a proof of the following proposition : " If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals ; then, if each of the remaining angles be either...
Volledige weergave - Over dit boek ## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...those angles equal which are opposite to the homologous sides. PROP. VII. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals ; then, if each of the remaining angles be either...
Volledige weergave - Over dit boek ## General Report on Public Instruction, in the Lower Provinces of the Bengal ...

Bengal (India) - 1848
...satisfy one of the tests of the former. 2. Give a proof of the following proposition : " If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals ; then, if each of the remaining angles be either...
Volledige weergave - Over dit boek ## Papers for the Schoolmaster, Volume 2

1852
...2. About a given circle, to describe i triangle equiangular to a given triangle. 3. 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 shall be equiangular, and shall have...
Volledige weergave - Over dit boek ## A collection of problems and examples, adapted to the "Elementary course of ...

Harvey Goodwin - 1851 - 173 pagina’s
...shall have to the second a greater ratio than the fifth has to the sixth. 8. Equal triangles which have one angle of the one equal to one angle of the other have the sides about the equal angles reciprocally proportional ; and conversely. 9. If two planes...
Volledige weergave - Over dit boek ## The Bible Question Decided in a Correspondence

Rev. William R. Williams - 1852
...A c : A b : : 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 English journal of education, ed. by G. Moody

George Moody - 1852
...triangles on each side of it are similar to the whole triangle and to one another. 2. Equal triangles which have one angle of the one equal to one angle of the other, have their sides about their equal angles reciprocally proportional. 3. Equiangular paralellograras...
Volledige weergave - Over dit boek