| 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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