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 Βιβλία Βιβλία 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 - Σελίδα 126
των Euclides - 1853 - 147 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 σελίδες
...Triangles of the same altitude are one to the other as their bases. fi. PROP. VI. — 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... ## Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 σελίδες
...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... ## Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 σελίδες
...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... ## Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 σελίδες
...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... ## Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 σελίδες
...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... ## Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Τόμος 2

Robert Potts - 1863 - 482 σελίδες
...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... ## Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 σελίδες
...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... ## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 σελίδες
...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,... ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 σελίδες
...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... ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 426 σελίδες
...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,...