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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: Together with the Eleventh and Twelfth - Σελίδα 170
των Euclid - 1781 - 520 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Annual Report of the Commissioners ..., Τόμος 73

1907 - 608 σελίδες
...figure which shall be similar to one, and equal to another given rectilineal figure. 4. 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 remaining angles are equal, each to each, viz.,...

Calendar

University of Allahabad - 1907 - 528 σελίδες
...triangles are equiangular, their corresponding sides are proportional ; and the converse. 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 internal bisector of...

Calendar, Μέρος 1

University of Calcutta - 1907 - 458 σελίδες
...triangles are equiangular, their corresponding sides are proportional ; and the converse. 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. If a polygon is divided...

Science Examination Papers

Great Britain. Education Department. Department of Science and Art - 1908 - 328 σελίδες
...are equal, and the angles ACB, DFE are supplementary ; show that AB : DE = AC: DF. 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, so that the sides opposite equal angles correspond,...

Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - 1908 - 228 σελίδες
...thenproveT.il andT.llcby means of Ar.6. 309. THEOREM [Ar.7.]. — It two triangles (or two parallelograms) have one angle of the one equal to one angle of the other, their areas are in the ratio of the products of tbe •ides containing the equal angles. (i) In Fig....

Atti Del ... Congresso Internazionale Dei Matematici ...

1909 - 605 σελίδες
...triangles are equiangular their corresponding sides are proportional; and the converse. 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 internal bisector of...

Annual Report, Τόμοι 2-3

Civil Service Commission of Canada - 1910 - 238 σελίδες
...to CA to meet BA at E ; show that the triangles BDE, ADC are equal in area. 9. 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. Describe an isosceles triangle equal...

Calendar

University of Allahabad - 1910 - 682 σελίδες
...triangles are equiangular, their corresponding sides are proportional ; and the converse. If two triangles have one angle of the one equal to one angle of the oth^r and the sides about these equal angles proportional, the triangles are similar. The internal...

The Dublin University Calendar, Τόμος 1

Trinity College (Dublin, Ireland) - 1911 - 616 σελίδες
...equal angles proportionals, the triangles are equiangular. 10. Prove that equal parallelograms which have one angle of the one equal to one angle of the other have their sides about the equal angles reciprocally proportional. ALGEBRA AMD ARITHMETIC. MR. WEBB....

The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 σελίδες
...are equiangular their corresponding sides are proportional ; and the converse. 38. 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. 39. The internal bisector...




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