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" ... have an angle of the one equal to an angle of the other, and the sides about those angles reciprocally proportional, are equal to une another. "
The Elements of Euclid with Many Additional Propositions and Explanatory Notes - Pagina 85
door Eucleides - 1860
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Special Reports on Educational Subjects, Volumes 6-7

Great Britain. Board of Education - 1900 - 906 pagina’s
...long as CD. The diagonals AC, BD intersect at 0. Show that CO is a quarter of CA. V. Two triangles have an angle of the one equal to an angle of the other, and the sides about those angles proportionals. Prove the triangles similar. VI. AB is a tangent to a circle...
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Examination Papers

University of Toronto - 1900 - 1164 pagina’s
...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. Use this proportion to prove that the following construction may be used...
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Report of the Committee of Council on Education in Scotland...[without Appendix]

1901 - 808 pagina’s
...parallel to a given straight line ; if A(f he bisected in fí, find the locus of R. 6. If two triangles have an angle of the one equal to an angle .of the other, and the sides about the equal angles proportionals, the triangles shall he similar. 13_ In the side ЛГ>...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1901 - 396 pagina’s
...equivalent to the sum of three given squares. PROPOSITION XV. THEOREM 369. H4e areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D A' D. G' Hyp. In triangles...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1901 - 394 pagina’s
...equivalent to the sum of three given squares. PROPOSITION XV. THEOREM 369. llie areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. ADC A' D' Hyp. In triangles...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1902 - 394 pagina’s
...equivalent to the sum of three given squares. PROPOSITION XV. THEOREM 369. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles...
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Plane Geometry

Arthur Schultze - 1901 - 260 pagina’s
...equivalent to the sum of three given squares. PROPOSITION XV. THEOREM 369. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D a B' A' D' Hyp. In triangles...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - 1901 - 462 pagina’s
...same base and an equal altitude. (Art. 295.) PROPOSITION IV 308. The areas of two triangles having an angle of the one equal to an angle of the other are in the same ratio as the products of the sides containing the equal angles. BC Let BAC and B'AC'...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901 - 368 pagina’s
...given circle an equilateral and equiangular hexagon. 10. Two obtuse.angled triangles have one acute angle of the one equal to an angle of the other, and the sides about the other acute angle in each proportionals ; prove that the triangles are similar....
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Solid Geometry, Volumes 6-9

George Albert Wentworth - 1902 - 246 pagina’s
...each other as the products of their bases by their altitudes. 410. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. 412. The areas of two similar...
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