Søk Bilder Maps Play YouTube Nyheter Gmail Disk Mer »
Logg på
Bøker Bok
" SIMILAR triangles are to one another in the duplicate ratio of their homologous sides. "
The school edition. Euclid's Elements of geometry, the first six books, by R ... - Side 271
av Euclides - 1864
Uten tilgangsbegrensning - Om denne boken

Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 sider
...on. PROP. XIX. THEOR. Similar triangles are to one another m the duplicate ratio of the homologous Let ABC, DEF be similar triangles, having the angle B equal to the angle E, and let AD be to BC, as DE to EF, so that the side BC is homologous to EF (def. 13. 5.) : the triangle ABC...
Uten tilgangsbegrensning - Om denne boken

General Report on Public Instruction in the Bengal Presidency

1855
...centre of gravity of the hemisphere from its vertex being = $ rad. FOURTH CLASS. EUCLID AND ALGEBRA. 1. Similar triangles are to one another in the duplicate ratio of their homologous sides. 2. If two parallel planes be cut by another plane their common sections with it are parallel. 3. If...
Uten tilgangsbegrensning - Om denne boken

Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...and inscribed circles of a triangle, the square of the distance between the centres = J? - 2Br. 2. Similar triangles are to one another in the duplicate ratio of their homologous side*. 4. Divide -01 by -0002 and -00001 by -03; find also a irth proportional to -999, 33-3 and -03.'...
Uten tilgangsbegrensning - Om denne boken

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...and this has been proved of triangles (VI. 19). Therefore, universally, similar rectilineal figures are to one another in the duplicate ratio of their homologous sides. COROLLARY 2, — If to AB and FG, two of the homologous sides of the polygon, a third proportional...
Uten tilgangsbegrensning - Om denne boken

The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855
...In like manner it may be proved, that similar four-sided figures, or figures of any number of sides, are to one another in the duplicate ratio of their homologous sides, as has already been proved in the case of triangles. Therefore, universally, similar rectilineal figures...
Uten tilgangsbegrensning - Om denne boken

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...are proportionals. Shew how this proposition may be proved by superposition as in Prop. 4, B. 1. 4. Similar triangles are to one another in the duplicate ratio of their homologous sides. What can you infer from this as to the ratio of squares to each other ? 5. Describe a rectilineal figure...
Uten tilgangsbegrensning - Om denne boken

National Society's Monthly Paper

1857
...the base, the triangles on each^side of it are similar to the whole triangle and to one another. 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 inscribed in a circle is equal to both...
Uten tilgangsbegrensning - Om denne boken

Middle-class education. 2, Volum 18

Middle-class education - 1857
...the algebraical expression for the mean proportional between two given quantities ? 19. Prove that similar triangles are to one another in the duplicate ratio of their homologous sides. 20. Show that, if an equilateral triangle be inscribed in a circle, the square of its side is equal...
Uten tilgangsbegrensning - Om denne boken

Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 59 sider
...triangle. 7. Give Dcf. 5, Book V. of Euclid, and shew whether the areas 3, 4, 7, 8 are proportionals. Similar triangles are to one another in the duplicate ratio of their homologous sides. Shew how to inscribe a rectangle DEFG in a triangle ABC, so that the angles D, E may be in the straight...
Uten tilgangsbegrensning - Om denne boken

Some account of the origin and objects of the new Oxford examinations for ...

sir Thomas Dyke Acland (11th bart.) - 1858
...the algebraical expression for the mean proportional between two given quantities ? 19. Prove that similar triangles are to one another in the duplicate ratio of their homologous sides. 20. Show that, if an equilateral triangle be inscribed in a circle, the square of its side is equal...
Uten tilgangsbegrensning - Om denne boken




  1. Mitt bibliotek
  2. Hjelp
  3. Avansert boksøk
  4. Last ned ePub
  5. Last ned PDF