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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 Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Σελίδα 163
των Robert Simson - 1804
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Examination Papers

University of Toronto - 1900
...to one angle of 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. Use this...

THE CONTENTS OF THE FIFTH AND SIXTH BOOKS OF EUCLID

M. J. M. HILL - 1900
...another triangle and the included angles are equal, then the triangles are similar. 29. If two triangles have one angle of the one equal to one angle of the other, and the sides about one other angle in each proportional in such a manner that the sides opposite to...

Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - 1900 - 531 σελίδες
...smaller circle. 7. Define the terms submultiple, ratio, homologous, duplicate ratio. 8. 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 similar. In a given straight...

Selected List of Educational Books for Secondary Schools

Macmillan & Co - 1901 - 776 σελίδες
...addition, . a + b+e+ ... x+y+z+ ... or a:x 338 EUCLID'S ELEMENTS. 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 similar. In the A' BAG,...

Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - 1901 - 440 σελίδες
...right angle which make equal angles with one of the sides. MISCELLANEOUS EXERCISES 1. If two triangles have one angle of the one equal to one angle of the other, and a second angle of the one supplementary to a second angle of the other, then the sides about the...

Report of the Committee of Council on Education in Scotland...[without Appendix]

1902
...side of the larger pentagon is equal to the sum of a side and a diagonal of the smaller pentagon. 5. 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. 12, ABCD is a trapezium in which AB is parallel...

Examinations Papers

1902
...line parallel to them cuts the other sides proportionally. 4. Triangles which are equal in area, and which have one angle of the one equal to one angle of the other, have the sides about the equal angles reciprocally proportional. The diagonals AC, BD of a quadrilateral...

Interim Report of the Commissioners on Certain Parts of Primary Education ...

New South Wales. Commission on primary, secondary, technical, and other branches of education - 1903 - 619 σελίδες
...the side of the larger pentagon is equal to the sum of a side and a diagonal of the smaller pentagon. 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. A BCD is a trapezium in which Л В is parallel...

Vectors and Rotors: With Applications

Olaus Henrici, George Charles Turner - 1903 - 204 σελίδες
...the theorem is that of Euc. VI. vi., from which the general case follows at once. " 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 similar." For if one triangle...

Manual

1903
...right angles to the straight line joining the middle points of AD and BC. 3. Show that if two triangles have one angle of the one equal to one angle of the other, and the sides about another angle of each proportional, the sides opposite the equal angles being homologous,...




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