 | Education - 1901 - 808 pages
...a given straight line ; if 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... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...an inscribed rectangle enclose a rhombus. Ex. 737. Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional. Ex. 738. Two rectangles are similar if two adjacent sides are proportional.... | |
 | 1903 - 896 pages
...inclined to Oil. Show that PQ is always parallel to a fixed straight line. 6. If two triangles have one angle of the one equal to an angle of the other, and the sides about those equal angles proportional, show that the triangles are similar. 7. A HC is an isosceles... | |
 | University of St. Andrews - 1903 - 762 pages
...consecutive rays are given. 4. Define reciprocally proportional, and prove thai parallelograms which have an angle of the one equal to an angle of the other and their sides about the equal angles reciprocally proportional are equal in area. TP and TQ are tangents... | |
 | James McMahon - Geometry, Plane - 1903 - 382 pages
...that the triangles are halves of mutually equiangular parallelograms. ] Ex. If two triangles have an angle of the one equal to an angle of the other, and if the including sides are respectively as 1 : 3 and 1 : 4, show that the first triangle is one twelfth... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...angles of the other. BOOK III. PLANE GEOMETRY. PROPOSITION XVIII. THEOREM. 357. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. In the triangles ABC and AW, let ZA = ^ A', and let... | |
 | Education - 1879 - 944 pages
...have two angles of the one equal to two angles of the other; Two triangles are similar If they have an angle of the one equal to an angle of the other and the including sides proportional ; Two triangles are similar If they have their sides respectively proportional."... | |
 | Education - 1907 - 880 pages
...have two angles of the one equal to two angles of the other; Two triangles are similar if they have nn angle of the one equal to an angle of the other and the including sides proportional ; Two triangles are similar if they have their sides respectively proportional."... | |
 | Cora Lenore Williams - Geometry - 1905 - 56 pages
...similitude. Prop. 110. Mutually equiangular triangles are similar. Prop. 111. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. Prop. 112. If two triangles have their corresponding... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...common and the including sides proportional. .-. the A OAB and BAC are similar. " If two A have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar." § 354 But the A OAB is isosceles. § 221 .'. the... | |
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Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional. 
