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 |
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Página 82
one of the segments must therefore fall within the other : let ACB fall within ADB , draw the straight line BCD , and join CA , DA : and because the segment ACB is similar to the segment ADB , and similar segments of circles contain ...
one of the segments must therefore fall within the other : let ACB fall within ADB , draw the straight line BCD , and join CA , DA : and because the segment ACB is similar to the segment ADB , and similar segments of circles contain ...
Página 83
From the centre E , at the distance of any of the three AE , EB , EC , describe a circle , this shall pass through the other points ; and the circle of which ABC is a segment described : also ...
From the centre E , at the distance of any of the three AE , EB , EC , describe a circle , this shall pass through the other points ; and the circle of which ABC is a segment described : also ...
Página 84
to the base EF : and because the angle at A is equal to the angle at D , the segment BAC is similar ( 9. def . 3. ) to the segment EDF ; and they ; are upon equal straight lines BC , EF ; but similar segments of circles upon equal ...
to the base EF : and because the angle at A is equal to the angle at D , the segment BAC is similar ( 9. def . 3. ) to the segment EDF ; and they ; are upon equal straight lines BC , EF ; but similar segments of circles upon equal ...
Página 86
THEOR . ! a 1 2 ܪ In a circle , the angle in a semicircle is a right angle ; but the angle in a segment greater than ... Let ABCD be a circle , of which the diameter is BC , and centre E ; draw CA dividing the circle into the segments ...
THEOR . ! a 1 2 ܪ In a circle , the angle in a semicircle is a right angle ; but the angle in a segment greater than ... Let ABCD be a circle , of which the diameter is BC , and centre E ; draw CA dividing the circle into the segments ...
Página 87
than two right angles , and BAC is a right angle , ABC must be less than a right angle ; and therefore the angle in a segment ABC , greater than a semicircle , is less than a right angle . Also because ABCD is a quadrilateral figure in ...
than two right angles , and BAC is a right angle , ABC must be less than a right angle ; and therefore the angle in a segment ABC , greater than a semicircle , is less than a right angle . Also because ABCD is a quadrilateral figure in ...
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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 |