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 TrigonometryLippincott, Grambo & Company, 1854 - 317 σελίδες |
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Σελίδα 93
... 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 ...
Σελίδα 94
... 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 ...
Σελίδα 95
... inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC . E A D ... inscribed in the triangle ABC . B PROP . V. PROB . To describe a circle about a given triangle . Let the given ...
... inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC . E A D ... inscribed in the triangle ABC . B PROP . V. PROB . To describe a circle about a given triangle . Let the given ...
Σελίδα 96
... inscribe a square in a given circle . Let ABCD be the given circle ; it is required to inscribe a square in ABCD . Draw the diameters , AC , BD at right angles to one another , and join AB , BC , CD , DA ; because BE is equal to ED , E ...
... inscribe a square in a given circle . Let ABCD be the given circle ; it is required to inscribe a square in ABCD . Draw the diameters , AC , BD at right angles to one another , and join AB , BC , CD , DA ; because BE is equal to ED , E ...
Σελίδα 97
... inscribed square is to the radius , as the square root of 2 , is to unity . PROP . VII . PROB . To describe a square ... inscribe a circle 13 OF GEOMETRY . BOOK IV . 97 D ...
... inscribed square is to the radius , as the square root of 2 , is to unity . PROP . VII . PROB . To describe a square ... inscribe a circle 13 OF GEOMETRY . BOOK IV . 97 D ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal 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 PROB PROP proportional 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 touches the circle triangle ABC triangle DEF wherefore