Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
Dentro del libro
Resultados 6-10 de 100
Página 26
But if one of the vertices , as D , be within the other triangle ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FVC upon the other side of the base CD are equal ( 5 . 1. ) ...
But if one of the vertices , as D , be within the other triangle ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FVC upon the other side of the base CD are equal ( 5 . 1. ) ...
Página 27
D ; > 9 B C E F to DF ; and also the base BC equal to the base EF . The angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on É , and the straight line BC upon EF ...
D ; > 9 B C E F to DF ; and also the base BC equal to the base EF . The angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on É , and the straight line BC upon EF ...
Página 28
A D с E B angles DCF , ECF , the two sides DC , CF are equal to the two EC , CF , each to each ; but the base DF is also equal to the base EF ; therefore the angle DCF is equal ( 8. 1. ) to the angle ECF ; and they are adjacent angles .
A D с E B angles DCF , ECF , the two sides DC , CF are equal to the two EC , CF , each to each ; but the base DF is also equal to the base EF ; therefore the angle DCF is equal ( 8. 1. ) to the angle ECF ; and they are adjacent angles .
Página 29
to the base CG ; therefore the angle CHF is equal ( 8. 1. ) to the angle CHG ; and they are adjacent angles ; now when a straight line standing on a straight line makes the adjacent angles equal to one another , each of them is a right ...
to the base CG ; therefore the angle CHF is equal ( 8. 1. ) to the angle CHG ; and they are adjacent angles ; now when a straight line standing on a straight line makes the adjacent angles equal to one another , each of them is a right ...
Página 31
to the angle CEF , because they are vertical angles ; therefore the base AB is equal ( 4. 1. ) B to the base CF , and the triangle AEB to the triangle CEF , and the remaining angles to the remaining angles , each to each , to which the ...
to the angle CEF , because they are vertical angles ; therefore the base AB is equal ( 4. 1. ) B to the base CF , and the triangle AEB to the triangle CEF , and the remaining angles to the remaining angles , each to each , to which the ...
Comentarios de la gente - Escribir un comentario
No encontramos ningún comentario en los lugares habituales.
Otras ediciones - Ver todas
Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole
Información bibliográfica
| Título | Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Editor | E. Duyckinck, and George Long, 1824 |
| Procedencia del original | Universidad de Indiana |
| Digitalizado | 15 Ene. 2009 |
| Largo | 333 páginas |
| Exportar cita | BiBTeX EndNote RefMan |