| Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...angles of the other, the triangles are similar. THEOREM XLVII 197. Two triangles are similar if they **have an angle of one equal to an angle of the other** and the including sides proportional, c c> A '" B A' B' 198. Analysis. Given A ABC and A A'B'C' having... | |
| David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...FUNDAMENTAL THEOREMS BOOK III Proposition 4. Angle and Proportional Sides 213. Theorem. If two triangles **have an angle of one equal to an angle of the other** and the including sides proportional, the triangles are similar. •BA Given the AABC and A'B'C' with... | |
| David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...triangle are equal respectively to two angles of another, the triangles are similar. 4. If two triangles **have an angle of one equal to an angle of the other** and the including sides proportional, the triangles are similar. 5. If two triangles have their sides... | |
| Jacob William Albert Young - Mathematics - 1924 - 484 pages
...similar if (a) they have two angles of one equal, respectively, to two angles of the other; (b) they **have an angle of one equal to an angle of the other** and the including sides are proportional; (c) their sides are respectively proportional. 14. If two... | |
| Carl Sandburg - 1926 - 528 pages
...centres or circumferences," and "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 which have one angle of the one equal to one angle of the other, and their sides about... | |
| Carl Sandburg - 1926 - 528 pages
...centres or circumferences," and "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 which have one angle of the one equal to one angle of the other, and their sides about... | |
| National Committee on Mathematical Requirements - Mathematics - 1927 - 208 pages
...similar if (a) they have two angles of one equal, respectively, to two angles of the other; (6) they **have an angle of one equal to an angle of the other** and the including sides are proportional; (c) their sides are respectively proportional. [59*, 60*,... | |
| Military Academy, West Point - 1934 - 964 pages
...center of a circle and a tangent, if one of the intercepted ares is 41°. 10 Prove that 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. 10 Construct a triangle equivalent... | |
| United States Military Academy - 1942 - 1028 pages
...center of a circle and a tangent, if one of the intercepted arcs is 41°. 10 Prove that the areas of two **triangles which have an angle of one equal to an angle of the other** arc to each other as the products of the sides including those angles. 10 Construct a triangle equivalent... | |
| Georgia. Department of Education - Education - 1919 - 648 pages
...square of the hypotenuse is1 equal to the sum of the squares of the legs. Demonstrate: If two triangles **have an angle of one equal to an angle of the other,** their areas are to each other as the products of the sides including the equal angles. Demonstrate:... | |
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