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Boeken Boek 141 - 150 van 187 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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Wentworth's Plane Geometry

David Eugene Smith - 1910 - 287 pagina’s
...one are equal respectively to two angles of the other. PROPOSITION XIV. THEOREM 288. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. ABA B' Given the triangles ABC and A'B'C',...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 280 pagina’s
...triangles ACD and EBC that AC- BC = CE- CD. 430. EXERCISES. 1. The areas of two parallelograms having an angle of the one equal to an angle of the other are in the same ratio as the product of the sides including the equal angles. 2. Three semicircles of equal...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 280 pagina’s
...triangles ACD and EBC that AC- BC= CE- CD. 430. EXERCISES. 1. The areas of two parallelograms having an angle of the one equal to an angle of the other are in the same ratio as the product of the sides including the equal angles. 2. Three semicircles of equal...
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The Teaching of Geometry

David Eugene Smith - 1911 - 339 pagina’s
...working only with the tape, is given on page 99. THE TEACHING OF GEOMETRY 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 the equal angles. This proposition may be omitted...
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College Entrance Examination Papers in Plane Geometry

1911 - 178 pagina’s
...parts of equal area? (6) Trisect a right angle, and explain your construction. 6. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, prove that the two triangles are similar. 6. The angle of a sector...
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Plane Geometry

Arthur Schultze - 1911 - 233 pagina’s
...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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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1913 - 457 pagina’s
...[The solution is 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 and A'B'C', ZA = Z...
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Plane and Solid Geometry

George Wentworth, George Albert Wentworth, David Eugene Smith - 1913 - 470 pagina’s
...triangles are similar, Given ^A'. 282 282 A A'B'C' A'B' X A'C' (The areas of two triangles that 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.) 4 AABC AB AC 1S> A A'R'r' —...
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Schultze and Sevenoak's Plane Geometry

Arthur Schultze, Frank Louis Sevenoak - 1913 - 304 pagina’s
...vertices of an inscribed rectangle inclose a rhombus. Ex. 1067. 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. 1068. Two rectangles are similar if two adjacent sides are...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1913 - 457 pagina’s
...vertices of an inscribed rectangle inclose a rhombus. Ex. 1067. 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. 1068. Two rectangles are similar if two adjacent sides are...
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