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Boeken Boek 121 - 130 van 193 over Two triangles, which have an angle of the one equal to an angle of the other, and....
" Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar. "
The Elements of geometry; or, The first six books, with the eleventh and ... - Pagina 143
door Euclides - 1855
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 pagina’s
...vertices of an inscribed 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...
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Plane Geometry

Arthur Schultze - 1901 - 233 pagina’s
...vertices of an inscribed 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...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1902 - 370 pagina’s
...vertices of an inscribed 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...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 pagina’s
...vertices of an inscribed 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...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - 1901 - 440 pagina’s
...same base and an equal altitude. (Art. 295.) PROPOSITION IV 308. The areas of two triangles having an angle of the one equal to an angle of the other are in the same ratio as the products of the sides containing the equal angles. BC Let BAC and B'AC' be...
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Solid Geometry

George Albert Wentworth - 1902 - 218 pagina’s
...triangles are to each other as the products of their bases by their altitudes. 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. 412. The areas of two similar polygons...
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Annual Report of the Commissioners ..., Volume 68

1902
...triangles of the same altitude are to one another as their bases. 5. Equal parallelograms which nave an angle of the one equal to an angle of the other, have their sides about those angles reciprocally proportional. 6. Describe a rectilineal figure which...
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Calendar

University of St. Andrews - 1903
...three consecutive rays are given. 4. Define reciprocally proportional, and prove thai parallelograms which have an angle of the one equal to an angle of the other and their sides about the equal angles reciprocally proportional are equal in area. TP and TQ are tangents...
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Elementary Geometry: Plane

James McMahon - 1903 - 358 pagina’s
...[Show that the triangles are halves of mutually equiangular parallelograms. ] Ex. If two triangles have an angle of the one equal to an angle of the other, and if the including sides are respectively as 1 : 3 and 1 : 4, show that the first triangle is one...
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Plane and Solid Geometry

George Albert Wentworth - 1904 - 473 pagina’s
...two angles of the 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',...
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