 | Euclid, Micaiah John Muller Hill - Euclid's Elements - 1900 - 165 pages
...angle of the other have the sides about the equal angles reciprocally proportional. (ii) Parallelograms having one angle of the one equal to one angle of the other, and the sides about the equal angles reciprocally proportional, are equal in area. 49. (i) Equal triangles... | |
 | Great Britain. Board of Education - Boys - 1900 - 566 pages
...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... | |
 | University of Toronto - 1900 - 1164 pages
...to ensure the similarity of two rectilinear figures. Is there any exception t 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 shall be similar. 4. Shew how to... | |
 | University of Toronto - 1901 - 1190 pages
...same altitude are to one another as their bases. (Eue. VI, 1.) 7. 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. (Eue. VI, 14.) 8. APB is any chord of a given circle, drawn through the... | |
 | Macmillan & Co - Textbooks - 1901 - 802 pages
...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,... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...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... | |
 | Education - 1902 - 942 pages
...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 to and greater than DC,... | |
 | 1902 - 762 pages
...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... | |
 | 1902 - 716 pages
[ Sorry, this page's content is restricted ] | |
| |
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 those angles equal which are opposite to the homologous sides. 
