Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Libros Libros
" ... rectilineal figures are to one another in the duplicate ratio of their homologous sides. "
The Elements of Euclid - Página 131
por Euclid - 1838 - 416 páginas
Vista completa - Acerca de este libro

Modern Methods in Elementary Geometry

E. M. Reynolds - 1868 - 112 páginas
...triangle in the second. The proof we leave as an exercise for the learner. The proposition that " Similar figures are to one another in the duplicate ratio of their homologous sides " is true of curvilinear figures as well as of rectilinear. Thus two circles are to one another as...
Vista completa - Acerca de este libro

How I rose in the world, Volumen1;Volumen14

How - 1868
...Greek tongues, and understood (what few lads of my age then understood) , that ' similar triangles are to one another in the duplicate ratio of their homologous sides." In a word, then, I was something of a scholar, and I may well be forgiven if I were a little proud...
Vista completa - Acerca de este libro

Report of the commissioners, Volumen6

Schools inquiry commission - 1868
...equal to the interior and opposite. 7. Describe a circle about a given square. 8. Similar triangles are to one another in the duplicate ratio of their homologous sides. XIX. (Two hours.) Maximum. 1. Translate into French : — Two worthy peasants went together to find...
Vista completa - Acerca de este libro

A Treatise on Land Surveying in Theory and Practice ...

John A. Smith - 1869
...Perpendiculars. 10 22384 to be deducted. Donble areas. 1500 1500 19520 21020 map. As the areas of similar figures are to one another in the duplicate ratio of their homologous sides, we have A : a; IS J : s*. From this proportion we obtain— , jlx«* jo /-4V *= , and S=s I — ] ....
Vista completa - Acerca de este libro

Nature, Volumen69

Sir Norman Lockyer - 1904 - 688 páginas
...which each of these excellent works takes with Euclid's Prop, ig, Bk. vi.- — " similar triangles are to one another in the duplicate ratio of their homologous sides " — mysterious but high-sounding- to countless generations of schoolboys. Here it is, in identical...
Vista completa - Acerca de este libro

A complete treatise on practical land-surveying

Anthony Nesbit - 1870
...quantity of land by a line parallel to any one of its sides. RULE. — The areas of similar triangles are to one another in the duplicate ratio of their homologous sides ; hence, as the area of the triangle ABC is to the square of the side AC, or BC, so is the area of...
Vista completa - Acerca de este libro

The Edinburgh university calendar

Edinburgh univ - 1871
...without the circle, is equal to the square of the line which touches it. 6. Prove that similar triangles are to one another in the duplicate ratio of their homologous sides. Given (b) the base of a triangle, find an expression for the base of a similar triangle whose area...
Vista completa - Acerca de este libro

How to Prepare for Civil Service Competition, Under the New Regulations

Patrick Weston Joyce - 1871 - 172 páginas
...rectangle contained by the parts. 2. Deseribe a regular pentagon about a given cirele. 3. Similar triangles are to one another in the duplicate ratio of their homologous sides. 4. If perpendiculars Aa, B&, Cc, be drawn from the angular points of a triangle ALC upon the opposite...
Vista completa - Acerca de este libro

Euclid's Elements of Geometry

Euclid - 1872 - 261 páginas
...AEDCB) may be divided inl» similar triangles, equal in number, and homologous to all. Ana the polygons are to one another in the duplicate ratio of their homologous sides. PART 1. — Because in the triangles FGI and AED, the angles G and E are ' equal, and the sides about...
Vista completa - Acerca de este libro

The Calendar of Owens college, Manchester

Manchester univ - 1872
...stand. cal angle and the segments into which the line bisecting it divides the base. 4. Similar polygons are to one another in the duplicate ratio of their homologous sides. 5. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the...
Vista completa - Acerca de este libro




  1. Mi biblioteca
  2. Ayuda
  3. Búsqueda avanzada de libros
  4. Descargar EPUB
  5. Descargar PDF