| Thomas Franklin Holgate - Geometry - 1901 - 460 pages
...equal, respectively, to two angles of the other, the triangles are similar. § 250. (3) If two triangles **have an angle of one equal to an angle of the other, and the** sides including these angles proportional, the triangles are similar. § 251. (4) If the ratios of... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...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. Ex. 739. A circumference... | |
| Arthur Schultze - 1901 - 260 pages
...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. Ex. 739. A circumference... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...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. Ex. 739. A circumference... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...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. Ex. 739. A circumference... | |
| American School (Chicago, Ill.) - Engineering - 1903 - 392 pages
...C. Hence the triangle A' B' C' is similar to AB C. THEOREM Mil. 176. 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. In the triangles ABC and A' B' C', let angle A = angle A... | |
| James McMahon - Geometry, Plane - 1903 - 380 pages
...and is therefore similar to ABC. Two sides and a non-included angle. 45. THEOREM 11. If two triangles **have an angle of one equal to an angle of the other, and** if the sides about another angle in each are proportional (in such a way that the sides opposite the... | |
| John Alton Avery - Geometry, Modern - 1903 - 136 pages
...is 30, the altitude is 5, and one base is 8. Find the other base. THEOREM IX 192. // two triangles **have an angle of one equal to an angle of the other,** the ratio of the areas of the triangles equals the ratio of the products of the sides including the... | |
| James McMahon - Geometry, Plane - 1903 - 380 pages
...therefore similar to ABC. Two sides and a non-included angle. 45. THEOREM 11. If two triangles l:ave **an angle of one equal to an angle of the other, and** if the sides about another angle in each are proportional (in such a way that the sides opposite the... | |
| George Albert Wentworth - Geometry - 1904 - 496 pages
...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 AB : A'B' = AC : To prove that... | |
| |