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
Página 19
And this point is called the centre of the circle . XIII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XIV . A semicircle is the figure contained by a diameter and ...
And this point is called the centre of the circle . XIII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XIV . A semicircle is the figure contained by a diameter and ...
Página 21
And that a circle may be described from any centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same thing are equal to one another . II . If equals be added to equals , the wholes are equal . III .
And that a circle may be described from any centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same thing are equal to one another . II . If equals be added to equals , the wholes are equal . III .
Página 22
From the centre A , at the distance AB , describe ( 3. Postulate the circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in D A B E which the circles cut one another , draw the ...
From the centre A , at the distance AB , describe ( 3. Postulate the circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in D A B E which the circles cut one another , draw the ...
Página 23
It is required to cut off from AB , the greater , a part equal to C , the less . From the point A draw ( 2. 1. ) А. E B the straight line AD equal to C ; and from the centre A , and at the distance AD , describe ( 3. Post . ) ...
It is required to cut off from AB , the greater , a part equal to C , the less . From the point A draw ( 2. 1. ) А. E B the straight line AD equal to C ; and from the centre A , and at the distance AD , describe ( 3. Post . ) ...
Página 29
It is required to draw a straight line perpendiC cular to AB from the point C. Take any point D upon the E other side of AB , and from the centre C , at the distance CD , describe ( 3. Post . ) the circle EGF meeting AB in F , G ; and ...
It is required to draw a straight line perpendiC cular to AB from the point C. Take any point D upon the E other side of AB , and from the centre C , at the distance CD , describe ( 3. Post . ) the circle EGF meeting AB in F , G ; and ...
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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 |