| Encyclopedias and dictionaries - 1920 - 934 pages
...its sides. Triangles which have their homologous sides proportional are similar. Two triangles which **have an angle of the one equal to an angle of the other, and the sides** about these angles proportional, are similar. Two triangles which have their sides parallel or perpendicular,... | |
| Robert Remington Goff - 1922 - 136 pages
...330. Two triangles with equal altitudes are to each other as their bases. *331. Two triangles, having **an angle of the one equal to an angle of the other,** are to each other as the products of the sides including the equal angles. *332. Two similar triangles... | |
| Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...right triangles having an acute angle of the one equal to an acute angle of the other. 3. They have one **angle of the one equal to an angle of the other and the** including sides proportional. 4. The three sides of one are proportional to the three sides of the... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...left to the student.] PLANE GEOMETRY PROPOSITION XIII. THEOREM 378. The areas of two triangles which **have an angle of the one equal to an angle of the other** are to each other as the products of the sides including the equal angles. Given A ABC an4 A'B'C',... | |
| Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...similar, if: 1. They have two angles of one respectively equal to two angles of the other. 2. They **have an angle of the one equal to an angle of the other and the** including sides proportional. 3. The sides of one are respectively proportional to the sides of the... | |
| William Weller Strader, Lawrence D. Rhoads - Geometry, Plane - 1927 - 434 pages
...parallel; (3) have their respective sides perpendicular; (4) have their respective sides proportional; (5) **have an angle of the one equal to an angle of the other and the** including sides proportional; (6) are similar to the same triangle; Polygons are similar, if they (1)... | |
| Canada - 1917 - 1130 pages
...the sum of the squares on AB and AC is equal to twice the sum of the squares on ВП and AD. 7. (a) **If two triangles have an angle of the one equal to an angle of the other and the sides** about these angles proportional, the triangles are equiangular, (b) Prove that, if from the vertex... | |
| 1882 - 350 pages
...marks. 8. Calculate the area of a regular octagon whose side is one inch. 8 marks. 9. Triangles which **have an angle of the one equal to an angle of the other, and the sides** about these angles reciprocally proportional, are equal. Prove this. 8 marks. 1 0. The perpendiculars... | |
| University of St. Andrews - 1905 - 682 pages
...(FIRST PAPER). TDESDAY, 4iH OCTOBER 1904 — 9 TO 11 AM GEOMETRY AND TRIGONOMETRY. 1. Triangles which **have an angle of the one equal to an angle of the other, and the sides** about these equal angles proportional, are similar. If O, A, C, B are points in order on a straight... | |
| William Weller Strader, Lawrence D. Rhoads - Geometry, Plane - 1927 - 434 pages
...its legs and the perpendicular to that leg from the mid-point of the opposite side. 5. If two equal **triangles have an angle of the one equal to an angle of the other,** the products of the sides including the equal angles are equal. 6. Two equal triangles have a common... | |
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