 | Edinburgh Mathematical Society - Electronic journals - 1899 - 340 pages
...joined, the triangles EAB, DAC are halves of the parallelograms BE, CD. Hence, Two triangles which have one angle of the one equal to one angle of the other have to each other the same ratio as the rectangles contained by the sides about the equal angles.... | |
 | Great Britain. Board of Education - Boys - 1900 - 566 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...equal angles proportionals, the triangles shall be similar. In a given straight Hue PQ a point M is taken and PQ is produced to Ü so that MO is a mean... | |
 | 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...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 to 0 so that MO... | |
 | 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 so that MO is a... | |
 | 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... | |
 | 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...equal angles proportionals, the triangles shall be similar. In the A' BAG, EOF, let the L. BAG = the /_ EOF, and let BA : AC :: ED : DF. Then shall the... | |
 | 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... | |
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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. 
