 | Robert Remington Goff - 1922 - 136 σελίδες
...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... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 484 σελίδες
...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',... | |
 | Edson Homer Taylor, Fiske Allen - 1923 - 104 σελίδες
...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... | |
 | Baltimore (Md.). Department of Education - 1924 - 182 σελίδες
...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... | |
 | William Weller Strader, Lawrence D. Rhoads - 1927 - 434 σελίδες
...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... | |
 | 1917 - 1130 σελίδες
...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... | |
 | 1882 - 350 σελίδες
...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... | |
 | Military Academy, West Point - 26 σελίδες
...the segment subtended by the side of a regular hexagon. 8. Theorem : 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 those angles. 9. Problem : Through a given... | |
 | Education Department - 1879 - 1136 σελίδες
...by drawing lines parallel to the sides from any point in the cutting line. 9. Equal triangles which have an angle of the one equal to an angle of the other have their sides about the equal angles reciprocally proportional. CD, AB are parallel chords in a... | |
 | William Weller Strader, Lawrence D. Rhoads - 1927 - 434 σελίδες
...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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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. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C'... 
