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 Bøker Bok Therefore, universally, similar rectilineal figures are to one another in the duplicate ratio of their homologous sides. The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 180
av Robert Simson - 1806 - 518 sider
Uten tilgangsbegrensning - Om denne boken ## Parliamentary Papers, Volum 19

...of a circle, which Khali contain an angle equal to a given rectilineal angle. 3. Similar triangles are to one another in the duplicate ratio of their homologous sides. 4. Investigate a rule for finding the greatest common measure of two algebraical expressions. 5. Reduce...
Uten tilgangsbegrensning - Om denne boken ## Calendar

...at the centres of equal circles from the ratio of the arcs on which they stand. 6. Similar triangles are to one another in the duplicate ratio of their homologous sides. To construct a triangle similar to a given triangle and equal to half of it. 7. If two straight lines...
Uten tilgangsbegrensning - Om denne boken ## Minutes of the Committee of Council on Education

...The sides about the equal angles of equiangular triangles are proper" tionals. 2. Similar triangles are to one another in the duplicate ratio of their homologous sides. 3- The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is equal...
Uten tilgangsbegrensning - Om denne boken ## Proceedings of the Edinburgh Mathematical Society, Volumer 18-20

...the square on the mean, the three straight lines are proportional. EUCLID VI. 19. Similar triangles are to one another in the duplicate ratio of their homologous sides. Let ABC, DEFbetwu similar triangles, having the angles at В, С equal to the angles at E, F respectively...
Uten tilgangsbegrensning - Om denne boken ## Nature, Volum 34

Sir Norman Lockyer - 1886
...only— the proof which he judiciously gives of the fundamental proposition that " similar triangles are to one another in the duplicate ratio of their homologous sides " depends directly on the ist Proposition only of the Sixth Book, instead of the chain being carried...
Uten tilgangsbegrensning - Om denne boken ## Register

University of Cambridge - 1844
...from (E), and u the distance of E' from E. FRIDAY, January 5, 18-14. 9. ..Hi. 1. SIMILAR triangles are to one another in the duplicate ratio of their homologous sides. 2. Every solid angle is contained by plane angles which are together less than four right angles. 3....
Uten tilgangsbegrensning - Om denne boken ## The Cambridge University Calendar

University of Cambridge - 1830
...intensity. SATURDAY MoRNING .... 9 to 11. First, Second, TJiird and Fourth Classes. 1. SIMILAR triangles are to one another in the duplicate ratio of their homologous sides. t 2. If two straight lines meeting one another, be parallel to two straight lines which meet one another,...
Uten tilgangsbegrensning - Om denne boken