| David Eugene Smith - Geometry, Plane - 1923 - 296 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 - 238 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... | |
| Military Academy, West Point - 1934
...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 eaeh other as the products of the sides including those angles. 10 Construct a triangle equivalent... | |
| United States Military Academy - 1942
...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
...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:... | |
| Education - 1900
...whole secant and its external segment is equal to the square of the tangent. 7. Two'triangles, having **an "angle of one equal to an angle of the other, are to each other** as the producto of the sides, including the e^ual angles. 8. In any right triangle the square described... | |
| Michigan. Legislature - Michigan - 1897
...equals one-half the central angle standing upon the same arc. 3. Demonstrate: — Two triangles having **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. A polygon has a diagonal 13.3 ft. long.... | |
| Military Academy, West Point
...tiŤ radius. No. 4.— Prove tho following theorem: (Wt. 10.) Two triangles having an angle of the **one equal to an angle of the other are to each other** as tho products of the sides including the equal angles. No. 5. — A shore line, XV,is a straight... | |
| Education - 1903
...point in which its medians concur, is one-third of the original triangle. 6. Prove: If two triangles **have an angle of one equal to an angle of the other,** they are proportional to the rectangles of the sides including those angles. 722 EXAMINATION QUESTIONS.... | |
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