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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. "
Elements of Plane Geometry According to Euclid - Page 129
by Andrew Bell - 1837 - 240 pages
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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...
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - Boys - 1900 - 531 pages
...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...
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Examination Papers

University of Toronto - 1901
...proportionals. 6. Parallelograms of the same altitude are to one another as their bases. (Eue. VI, 1.) 7. Equal parallelograms, which have one angle of the...about the equal angles reciprocally proportional. (Eue. VI, 14.) 8. APB is any chord of a given circle, drawn through the fixed point P. On AB is described...
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Selected List of Educational Books for Secondary Schools

Macmillan & Co - Textbooks - 1901 - 776 pages
...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,...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 440 pages
...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...
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Report of the Committee of Council on Education in Scotland...[without Appendix]

Education - 1902
...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...about the equal angles reciprocally proportional. 12, ABCD is a trapezium in which AB is parallel to and greater than DC, BD meets AC in E, and DF is...
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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...
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Interim Report of the Commissioners on Certain Parts of Primary Education ...

New South Wales. Commission on primary, secondary, technical, and other branches of education - Education - 1903 - 619 pages
...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...about the equal angles reciprocally proportional. A BCD is a trapezium in which Л В is parallel to and greater than DC, BD meets AC in E, and DF is...
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Vectors and Rotors: With Applications

Olaus Henrici, George Charles Turner - Electronic book - 1903 - 204 pages
...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...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 355 pages
...join PQ ; measure L.' P, Q, and compare them with L.' B, C. =o fig. 313. THEOREM 5. 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. fig. 314. Data ABC,...
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