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 Βιβλία Βιβλία 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'... The Elements of Euclid, containing the first six books, with a selection of ... - Σελίδα 269
των Euclides - 1874
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## Manual

1903 - 898 σελίδες
...inclined to Oil. Show that PQ is always parallel to a fixed straight line. 6. If two triangles have one angle of the one equal to an angle of the other, and the sides about those equal angles proportional, show that the triangles are similar. 7. A HC is an... ## Plane and Solid Geometry

George Albert Wentworth - 1904 - 496 σελίδες
...the polygon. D 190 AREAS OF POLYGONS. PROPOSITION VII. THEOREM. 410. 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. Let the triangles ABC and... ## School Science and Mathematics, Τόμος 7

1879 - 928 σελίδες
...they have two angles of the one equal to two angles of the other; Two triangles are similar If they have an angle of the one equal to an angle of the other and the including sides proportional ; Two triangles are similar If they have their sides respectively... ## Syllabus of Plane' Geometry: (corresponding to Euclid, Book I-VI) : Prepared ...

Cora Lenore Williams - 1905 - 50 σελίδες
...ratio of similitude. Prop. 110. Mutually equiangular triangles are similar. Prop. 111. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. Prop. 112. If two triangles have their corresponding... ## Syllabus of Plane Geometry: (corresponding to Euclid, Book I-VI) ; Prepared ...

Cora Lenore Williams - 1905 - 122 σελίδες
...parallelograms have two adjacent sides of the one equal respectively to two adjacent sides of the other, and an angle of the one equal to an angle of the other, the parallelograms are congruent. Prop. 78. Two rectangles are congruent if two adjacent sides of the... ## School Science and Mathematics, Τόμος 7

1907 - 880 σελίδες
...have two angles of the one equal to two angles of the other; Two triangles are similar if they have nn angle of the one equal to an angle of the other and the including sides proportional ; Two triangles are similar if they have their sides respectively... ## Plane Geometry

Edward Rutledge Robbins - 1906 - 268 σελίδες
...is a mean proportional between the segments of the other. 51. Two parallelograms are similar if they have an angle of the one equal to an angle of the other and the including sides proportional. 52. Two rectangles are similar if two adjoining pairs of homologous... ## Annual Report of the Commissioners ..., Τόμος 72

1906 - 826 σελίδες
...which touches it. 2. To describe a circle about a given regular pentagon. 3. Equal triangles which have an angle of the one equal to an angle of the other have their sides about those angles reciprocally proportional ; and triangles which have an angle of... ## Plane and Solid Geometry

Isaac Newton Failor - 1906 - 440 σελίδες
...trapezoids are then computed by the previous theorems. 198 PROPOSITION VII. THEOREM 414 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. HYPOTHESIS. The & ABC and... ## Plane and Solid Geometry

Isaac Newton Failor - 1906 - 431 σελίδες
...trapezoids are then computed by the previous theorems. PROPOSITION VII. THEOREM 414 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. HYPOTHESIS. The & ABC and...