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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. Elements of Arithmetic, Algebra, and Geometry - Strona 169
autor: George Lees - 1826
Pełny widok - Informacje o książce ## Papers for the Schoolmaster, Tom 2

1852
...to one another. 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 those angles equal...
Pełny widok - Informacje o książce ## Papers for the Schoolmaster, Tom 1

1851
...similar to the whole triangle and to one another. PAPERS FOE THE SCHOOLHASTEB. 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 paralellograms...
Pełny widok - Informacje o książce ## A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - Liczba stron: 173
...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...
Pełny widok - Informacje o książce ## The Bible Question Decided in a Correspondence

Rev. William R. Williams - 1852
...: A b,. that is, 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 similar ; we have seen...
Pełny widok - Informacje o książce ## The English Journal of Education, Tom 6

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...
Pełny widok - Informacje o książce ## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - Liczba stron: 147
...triangle ab С is equiangular to the triangle def Wherefore, if two triangles, &c. QED PROPOSITION VII. — THEOREM. If two triangles have one angle of the one equal to one angle of tJie other, and the sides about two other angles proportionals, then if each of tlie remaining angles...
Pełny widok - Informacje o książce ## The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Księga 1

Euclides - 1853
...hence AB is to BC as DE to EF, and BC to CA as EF to FD. . Which was to be proved. PEOP. VII. THEOE. If two triangles have (!•) one angle of the one equal to one angle of the other ; (2) the sides about one of the other two pairs of angles proportionals ; and if each of the third...
Pełny widok - Informacje o książce ## Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - Liczba stron: 500
...triangles on each side of it arc 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 parallelograms...
Pełny widok - Informacje o książce ## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...proportional DB is found. Which was to be done. PROPOSITION XIV. THEOR. 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 ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...point and the extremity of one of the parallels passes through the extremities of all the parallels. PROP VII. THEOREM. If two triangles have one angle...equal to one angle of the other, and the sides about another angle in each, proportionals ; and if the remaining angle in each be of the same affection...
Pełny widok - Informacje o książce