Books Books 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'... First Part of an Elementary Treatise on Spherical Trigonometry - Page 69
by Benjamin Peirce - 1836 - 71 pages ## The Encyclopedia Americana: A Library of Universal Knowledge, Volume 25

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,... ## Drill Book in Plane Geometry

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... ## Junior High School Mathematics ...

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... ## Schultze and Sevenoak's Plane and Solid Geometry; Revised by Arthur Schultze

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',... ## Mathematics: Course of Study for Senior and Junior High Schools

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... ## Plane Geometry: A Modern Text

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)... ## Sessional Papers, Volume 52, Issue 19

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... ## Annual Report of the Commissioners ..., Volume 48

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... ## Calendar

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... 