 | Great Britain. Board of Education - Education - 1900 - 906 pages
...inscribed in the smaller circle. 7. Define the terms submultiple, ratio, homologous, duplicate ratio. 8. If two triangles have one angle of the one equal to...the sides about the equal angles proportionals, the triangles shall be similar. 4333. M In a given straight line PQ a point M is taken and PQ is produced... | |
 | University of Toronto - 1900 - 1164 pages
...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 proportion... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...submultiple, ratio, homologous, duplicate ratio. 8. If two triangles have one angle of the one equal to on« angle of the other, and the sides about the equal angles proportionals, the triangles shall lx) similar. In a given straight line PQ a point M is taken and PQ is produced to 0... | |
 | Euclid, Micaiah John Muller Hill - Euclid's Elements - 1900 - 190 pages
...about the equal angles reciprocally proportional, are equal in area. 49. (i) 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. (ii) Triangles which have one angle... | |
 | Euclid, Micaiah John Muller Hill - Euclid's Elements - 1900 - 165 pages
...PROPOSITION XLVIII. (i). (Euc. VI. 14, 1st Part.) ENUNCIATION. Parallelograms having equal areas and having one angle of the one equal to one angle of the other have the sides about the equal angles reciprocally proportional. Let the two parallelograms be placed... | |
 | Macmillan & Co - Textbooks - 1901 - 802 pages
...; .:, by 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...the sides about the equal angles proportionals, the triangles shall be similar. In the A' BAG, EOF, let the L. BAG = the /_ EOF, and let BA : AC :: ED... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...diameters. 10. Describe a circle about a given equilateral and equiangular pentagon. 11. Triangles which have one angle of the one equal to one angle of the other and the sides about the equal angles reciprocally proportional, are equal to one another. , Two straight lines AOC, BOD intersect in 0 and... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...vertex of the 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 third... | |
 | Education - 1901 - 808 pages
...A(f he bisected in fí, find the locus of R. 6. If two triangles have an angle of the one equal to an angle .of the other, and the sides about the equal angles proportionals, the triangles shall he similar. 13_ In the side ЛГ> of the triangle AUC a point I> is taken, and DE is... | |
 | Education - 1902 - 942 pages
...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... | |
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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. 
