Zoeken Afbeeldingen Maps Play YouTube Nieuws Gmail Drive Meer »
Inloggen
Boeken Boek
" The areas of two similar triangles are to one another as the squares of their homologous or similarly situated sides (fig. "
A new supplement to Euclid's Elements of geometry, by the author of 'A new ... - Pagina 5
door Joseph Denison - 1840 - 84 pagina’s
Volledige weergave - Over dit boek

The British encyclopedia, or, Dictionary of arts and sciences, Volume 6

William Nicholson - 1809
...one another: hence, 1. All similar triangles have the sides about their angles proportional. ?. All similar triangles are to one another as the squares of their homologous sides. SIMILAR bodies, in natural philosophy, are such as have their particles of the same kind and nature...
Volledige weergave - Over dit boek

British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 11

William Nicholson - 1821
...one another: hence, 1. All similar triangles have the sides about their angles proportional. 2. All similar triangles are to one another as the squares of their homologous sides. SIMILAH bodies, in natural philosophy, are such as have their particlei of the same kind and nature...
Volledige weergave - Over dit boek

American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 11

William Nicholson - 1821
...one another : hence, 1. All similar triangles have the sides about their angles proportional. 2. All similar triangles are to one another as the squares of their homologous sides. • SIMILAR bodies, in natural philosophy, are such as have their particles of the same kind and nature...
Volledige weergave - Over dit boek

The New Practical Builder and Workman's Companion, Containing a Full Display ...

Peter Nicholson - 1823 - 596 pagina’s
...ADxAE. the triangle ADE : AD x AE. the triangle ABC : AB x AC. : AB x AC : AD x AE. THEOREM 64. 162. Similar triangles are to one another as the squares of their homologous sides. Let the angle A be equal to the angle D, and A the angle B equal to E. Then AB : DE •: AC : DF (155)...
Volledige weergave - Over dit boek

Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 pagina’s
...duplicate ratio of two straight lines is the same with the ratio of their squares (37. Cor. 2.) it appears that similar triangles are to one another as the squares of their homologous sides. PROP. 43. (Eue. vi. 20.) Similar rectilineal figureĽ are to one another in the duplicate ratio of...
Volledige weergave - Over dit boek

Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...duplicate ratio of two straight lines is the same with the ratio of their squares (37. Cor. 2.) it appears that similar triangles are to one another as the squares of their homologous sides. PROP. 43. (Eue. vi. 20.) Similar rectilineal figures are to one another in the duplicate ratio of their...
Volledige weergave - Over dit boek

Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 pagina’s
...sides. M. — Now, express, in words, the relation which similar triangles have to one another. P. — Similar triangles are to one another as the squares of their homologous sides. SUBSTANCE OF SECTION VIII. 1. Triangles between the same parallels are to one another as their bases....
Volledige weergave - Over dit boek

Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 pagina’s
...M.—Now, express, in words, the relation which similar triangles have to one another. P.—Similar triangles are to one another as the squares of their homologous sides. SUBSTANCE OF SECTION VIII. 1. Triangles between the same parallels are to one another as their bases....
Volledige weergave - Over dit boek

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...upon a given straight line similar to one given, and so on. Which was to be done. PROP. XIX. THEOR. Similar triangles are to one another as the squares of their homologous sides. Let ABC, DEF be similar triangles, having the angle B equal to the angle E, and let AB be to BC, as...
Volledige weergave - Over dit boek

A new treatise on mechanics, by the author of A new introduction to the ...

Joseph Denison - 1841 - 184 pagina’s
...are to one another in the duplicate ratio of their homologous sides, therefore, (5 Euclid, 11.) the similar triangles are to one another as the squares of their homologous sides. E But the spaces described in the times ab, ad, are as the squares of ab, ad ; that is, as the squares...
Volledige weergave - Over dit boek




  1. Mijn bibliotheek
  2. Help
  3. Geavanceerd zoeken naar boeken
  4. ePub downloaden
  5. PDF downloaden