 | Webster Wells - Geometry - 1908 - 338 pages
...two angles of the other (§ 236). When their homologous sides are proportional (§ 240). When they have an angle of one equal to an angle of the other, and the sides including these angles proportional (§ 242). When their sides are parallel each to each,... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...of the tests of similarity is satisfied. PROP. XV. THEOREM 242. Two triangles are similar when they have an angle of one equal to an angle of the other, and the sides including these angles proportional. Draw A ABC and A'B'C' having ZA = ZA', and the sides... | |
 | Albert Harry Wheeler - Algebra - 1908 - 698 pages
...taken parallel to the axis of Y, and accordingly the triangles OfiA and OH' A' are similar, since they have an angle of one equal to an angle of the other, and the included sides proportional. It follows that either of the points A or A' lies on the straight... | |
 | Civil Service Commission of Canada - Civil service - 1910 - 238 pages
...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 in area to a given triangle and having its vertical angle equal... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...bisector of the opposite angle. Group V. Similar Polygons 1. Two parallelograms are similar if they have an angle of one equal to an angle of the other, and the including sides proportional. 2. Two rectangles are similar if two adjacent sides of one are... | |
 | Eugene Randolph Smith - Geometry, Plane - 1909 - 204 pages
...have the same ratio as the squares oftheir corresponding sides. 292. Co R. 2. // two triangles that have an angle of one equal to an angle of the other are equivalent, the product of the sides including the angle in one equals the product of the sides... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...perpendicular to the sides of the other are similar. PLANE GEOMETRY. 259. THEOREM. // two triangles have an angle of one equal to an angle of the other and the pairs of adjacent sides in the same ratio, the triangles are similar. \ o' (Why?) V BC Given... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...respectively parallel or perpendicular to the sides of the other are similar. 259. THEOEEM. // two triangles have an angle of one equal to an angle of the other and the pairs of adjacent sides in the same ratio, the triangles are similar. B' C' c Given A ABC and... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...whose bases are 6 and 6' and whose other sides are each equal to s. PROPOSITION VIII. THEOREM 49R Two triangles which have an angle of one equal to an angle of the other are to each other as the products of the sides including the equal angles. 4 GCD 2. 3. To prove Given... | |
 | Geometry, Plane - 1911 - 192 pages
...tangent is a mean proportional between the whole secant and its external segment. 4. The areas of two triangles which have an angle of one equal to an angle of the other are to each other as the products of the sides including those angles. 6. Two triangles ABC and ABC... | |
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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 ; and parallelograms that have one angle of the one equal to one angle of the other, and their sides... 
