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" 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
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First B.A. examination: University of London. A hand-book to the study of ...

J. G - 1878
...the quadrilateral, in which case it is equal to that sum. " 23." If two triangles or parallelograms have one angle of the one equal to one angle of the other, their areas have to one another the ratio compounded of the ratios of the including sides of the first...
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The Madras University Calendar, Volume 1

University of Madras - 1879
...IV. In a given circle inscribe an equilateral and equiangular quindecagon. V. 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...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 pagina’s
...DEF are also equiangular, and therefore (V. 4) similar. Proposition 6. Theorem.—If two triangles have one angle of the one equal to one angle of the other, and the sides about (he equal angles proportional, the triangles will be similar. Let the triangles...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...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. II. Elements...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879
...proportion being DR is to BE as GB is to BF. PROPOSITION XIV. THEOREM. Eq'ual parallelograms, which have one angle of the one equal to one angle of the ntlur, have thtir sides about the equal angles reciprocally proportional. \ \ \ Let AB, BC be equal...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 pagina’s
...their angles equal. VI. 7. In VI. 7 the enunciation is imperfect ; it should be, " if two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals, so that the sides subtending the equal angles are...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...the segments BG, GD, GC of the base shall be in harmonical proportion. 12. 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. ALGEBRA. 1. Prove that se и х...
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(Report).

Elizabethan club - 1880
...square on the line which meets it, the line which meets shall touch the circle. 49 10. 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 to each other,...
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AN ELEMENTARY TREATISE ON MENSURATION

GEORGE BRUCE HALSTED - 1881
...both sides of a rectangle from their ratio m : n, and its area R. \mR Ans. n \ m 521. If two triangles have one angle of the one equal to one angle of the other, and the sides about a second angle in each equal, then the third angles will be either equal or supplemental....
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Elements of Geometry

Simon Newcomb - 1881 - 399 pagina’s
...such sides is equal to the rectangle of the sides of the parallelogram. THEOREM 8. If two triangles have one angle of the one equal to one angle of the other, and the perpendiculars from the other two angles upon the opposite sides proportional, they are similar....
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