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Boeken Boek 91 - 100 van 191 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
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Nature, Volume 66

Sir Norman Lockyer - 1902
...committee suggest that the following proposition be adopted : — If two triangles (or parallelograms) have one angle of the one equal to one angle of the other, their areas are proportional to the areas of the rectangles contained by the sides about the equal...
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Handbook to government situations: or, The queen's Civil service considered ...

1871
...cent. per annum ? 10. Extract the square root of 3312400. VOLUNTARY PORTION. 1. 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. If the sides above mentioned are...
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The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 285 pagina’s
...area of the polygon on AC is equal to the area of the polygon on BC. EXAMPLES. 1. If two triangles have one angle of the one equal to one angle of the other, and likewise one angle of the one supplementary to one angle of the other, the sides opposite to these...
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THE EDINBURGH UNIVERSITY CALENDAR 1871-72

EDWARD RAVENSCROFT - 1871
...describe a square that shall be equal to a given rectilineal figure. 4. 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 conversely. 5. If two chords...
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Elements of geometry, containing the first two (third and fourth ..., Deel 1

Euclides - 1871
...another case in which two triangles are equal in all respects. PROPOSITION E. THEOREM. If tico triangles have one angle of the one equal to one angle of the otlier, and the sides about a second angle in each equal; then, if the third angles in each be both...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 pagina’s
...another case in which two triangles are equal in all respects. PROPOSITION E. THEOEEM. 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, if the third angles in each be both acute,...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION 6. — Theorem. 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...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...:E = A :B j 5- {andB = mF } then A - В = m (D _ F) EUCLID.-BOOK VI. Prop. Page 7. 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...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...AF: FB; but, since triangle BEC=2 triangle DEC, therefore1 AE:ED::2AF:FB. 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, conversely, triangles which...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...perpendicular to tlie base. Hence an angle can be bisected. PROP, xxxin. THEOREM. (E. 6. 17). If two triangles have one angle of the one equal to one angle of the other and their sides about the equal angles proportionals, Tie triangles are equiangular and those angles...
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