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 1-5 de 89
Página 6
Two lines are said to be parallel , when being situated in the same plane , they cannot meet , how far soever , either way , both of them be produced . 16. A plane figure , terminated on all sides by straight lines , is called a ...
Two lines are said to be parallel , when being situated in the same plane , they cannot meet , how far soever , either way , both of them be produced . 16. A plane figure , terminated on all sides by straight lines , is called a ...
Página 7
That a terininated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from AXIOMS . 1 1. Things which are equal to the. that centre . OF GEOMETRY .
That a terininated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at any distance from AXIOMS . 1 1. Things which are equal to the. that centre . OF GEOMETRY .
Página 13
Cor . 2. And hence , all the angles made by any number of straight linos meeting in one point , are together equal to four right angles . PROP . IX . THEOR . If one side of a triangle be produced , the ...
Cor . 2. And hence , all the angles made by any number of straight linos meeting in one point , are together equal to four right angles . PROP . IX . THEOR . If one side of a triangle be produced , the ...
Página 14
Join B and E the middle point of А. the line AC , and produce BE to F , F and make EF equal to BE ; join also FC , and produce AC to G. Because AE is equal to EC , and BE to EF ; AE , EB are equal to CE , EF , each to each ; and the ...
Join B and E the middle point of А. the line AC , and produce BE to F , F and make EF equal to BE ; join also FC , and produce AC to G. Because AE is equal to EC , and BE to EF ; AE , EB are equal to CE , EF , each to each ; and the ...
Página 15
Produce BA to the point D , and make AD equal to AC ; and join DC . Because DA is equal to AC , the A angle ADC is likewise equal ( 3. 1. ) to AČD ; but the angle BCD is greater than the angle ACD ; therefore the angle BCD is greater ...
Produce BA to the point D , and make AD equal to AC ; and join DC . Because DA is equal to AC , the A angle ADC is likewise equal ( 3. 1. ) to AČD ; but the angle BCD is greater than the angle ACD ; therefore the angle BCD is greater ...
Comentarios de la gente - Escribir un comentario
No encontramos ningún comentario en los lugares habituales.
Otras ediciones - Ver todas
Términos y frases comunes
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid square straight line taken tangent THEOR third touch 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 | W. E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |