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Boeken Boek 131 - 140 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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School Science and Mathematics, Volume 7

1879
...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...
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Syllabus of Plane' Geometry: (corresponding to Euclid, Book I-VI) : Prepared ...

Cora Lenore Williams - 1905 - 42 pagina’s
...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...
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Syllabus of Plane Geometry: (corresponding to Euclid, Book I-VI) ; Prepared ...

Cora Lenore Williams - 1905 - 42 pagina’s
...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...
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Plane and Solid Geometry

Isaac Newton Failor - 1906 - 418 pagina’s
...have the ZA common and the including sides proportional. .-. the A OAB and BAC are similar. " If two A have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar." 354 But the A OAB is isosceles. 221...
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Plane Geometry

Edward Rutledge Robbins - 1906 - 254 pagina’s
...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...
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PLANE AND SOLID GEOMETRY

ISAAC NEWTON FAILOR - 1906
...Z A'O'B', 442 and OA : OB = O'A' : O'B'. .-. the A OAB and O'A'B' are similar. "If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar." 354 /. AB : A'B' = OA : O'A' 349 = OH...
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Plane and Solid Geometry

Edward Rutledge Robbins - 1907 - 412 pagina’s
...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...
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The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1907
...and E respectively, so that OA : AD = CB : BE, prove that DE is parallel to AB. 8. If two triangles have an angle of the one equal to an angle of the other and the sides about the equal angles reciprocally proportional, prove the triangles equal in area....
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Science Examination Papers

Great Britain. Education Dept. Dept. of Science and Art - 1908
...half its area, from whose sides the given circle shall cut off equal chords. (25) 43. If two triangles have an angle of the one equal to an angle of the other and the sides about those angles proportional, show that the triangles are equiangular to one another....
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Report of the Superintendent of Public Instruction

Michigan. Department of Public Instruction - 1909
...through a point in the circumference of a circle two chords are drawn, 4. (a) 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. (b) To trisect a right angle. (c)...
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