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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. "
The first six books of the Elements of Euclid, with numerous exercises - Seite 126
von Euclides - 1853 - 147 Seiten
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861
...the other, have their sides about the equal angles reciprocally proportional, and parallelograms that 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. 9. Prove...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...angle. 4. To describe an equilateral and equiangular hexagon in a given circle. 5. If two triangles have one angle of the one equal to one angle of the other and the sides about two other angles proportionals, and if each of the remaining angles be not less...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...2. & H. 6 22, V. 7 6, VI. 8 Sim. 9 Cone. 10 H. 11 22, V. 16, V. PROP. 7. — THEOR. 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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 Seiten
...isosceles triangle having each of the angles at the base one-third of the third angle. 2. 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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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Band 2

Robert Potts - 1863
...sides produced. Also describe a circle touching three sides of a parallelogram. 6. 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, triangle shall be equiangular, and shall have...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864
...is obtuse-angled, prove that the centre of the circumscribing circle is outside of the triangle. 11. Parallelograms 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. 12. Let...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...8. Cor.) therefore between the two given straight lines AB, BC, a mean proportional DB is found. QEF PROPOSITION XIV. THEOREM. Equal parallelograms, which have one angle of the one equal to one avgle of the other, have their sides about Che equal angles reciprocally proportional: and conversely,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883
...angles at B reciprocally proportional, the order of the proportion being DB is to BE as GB is to BF. PROPOSITION XIV. THEOREM. Equal parallelograms, which...about the equal angles reciprocally proportional. Let AB, BC be equal Oa, having L FBD= L EBG. Then must DB be to BE as GB is to BF. Place the /Us so...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 Seiten
...equal to one angle of the other, have their sides about the equal angles reciprocally proportional; and parallelograms 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. Let AB,...
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Glasgow University Calendar

University of Glasgow - 1883
...ratio of the radins of the circle to the side of the second square ? 12. Prove that if two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportional, the triangles are similar. 14. One of the parallel...
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