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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
Dentro del libro
Página 86
... inscribed in a circle , and circumscribed about one . Let ABCDE , & c . be a regular polygon : describe a circle through the three points A , B , C , the centre being O , and OP the perpendicular let fall from it , to the middle point ...
... inscribed in a circle , and circumscribed about one . Let ABCDE , & c . be a regular polygon : describe a circle through the three points A , B , C , the centre being O , and OP the perpendicular let fall from it , to the middle point ...
Página 87
... inscribed and circumscribed circles , may also be regarded as the centre of the polygon ; and upon this principle ... inscribe a regular polygon of a certain number of sides in a given circle , we have only to divide the circumference ...
... inscribed and circumscribed circles , may also be regarded as the centre of the polygon ; and upon this principle ... inscribe a regular polygon of a certain number of sides in a given circle , we have only to divide the circumference ...
Página 88
... inscribed in the circle ABC . PROP . III . PROB . About a given circle to describe a triangle equiangular to a given triangle . Let ABC be the given circle and DEF the given triangle ; it is requir- ed to describe a triangle about the ...
... inscribed in the circle ABC . PROP . III . PROB . About a given circle to describe a triangle equiangular to a given triangle . Let ABC be the given circle and DEF the given triangle ; it is requir- ed to describe a triangle about the ...
Página 89
... inscribed circles coincide . PROP . V. PROB . To inscribe a square in a given circle . Let ABCD be the given circle ; it is required to inscribe a square in ABCD . E D Draw the diameters AC , BD at right 12 OF GEOMETRY . BOOK IV . 89.
... inscribed circles coincide . PROP . V. PROB . To inscribe a square in a given circle . Let ABCD be the given circle ; it is required to inscribe a square in ABCD . E D Draw the diameters AC , BD at right 12 OF GEOMETRY . BOOK IV . 89.
Página 90
... inscribed square is to the radius , as the square root of 2 , is to unity . PROP . VI . PROB . To describe a square about a given circle . Let ABCD be the given circle ; it is required to describe a square about it . Draw two diameters ...
... inscribed square is to the radius , as the square root of 2 , is to unity . PROP . VI . PROB . To describe a square about a given circle . Let ABCD be the given circle ; it is required to describe a square about it . Draw two diameters ...
Otras ediciones - Ver todas
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore