The Squared Circle: Being a Short Treatise, Describing the Manner by which Its True Area and Boundary Were DiscoveredM. Ward & Company, 1884 - 23 páginas |
Dentro del libro
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Página 5
... chords of the six arcs embraced within their surrounding circle . 2. And that an equilateral triangle of any dimensions is divisible into four equilateral triangles , the sides and height of each measuring one - half but containing only ...
... chords of the six arcs embraced within their surrounding circle . 2. And that an equilateral triangle of any dimensions is divisible into four equilateral triangles , the sides and height of each measuring one - half but containing only ...
Página 7
... chord of this segment must necessarily be equal to the diameter of the small circle - thus perfectly establishing my ... chords of the twelve arcs cut off the aforesaid six large arcs , and on adding their six enclosed triangles to the ...
... chord of this segment must necessarily be equal to the diameter of the small circle - thus perfectly establishing my ... chords of the twelve arcs cut off the aforesaid six large arcs , and on adding their six enclosed triangles to the ...
Página 8
... chords of said arcs . We will bisect at a point each of these chords of the 12 arcs , and connect these points by 12 right lines , passing through and cutting off 12 triangles from the first polygon ; and it will be noted that each of ...
... chords of said arcs . We will bisect at a point each of these chords of the 12 arcs , and connect these points by 12 right lines , passing through and cutting off 12 triangles from the first polygon ; and it will be noted that each of ...
Página 17
... chord of the arc formed by the next circumscribing circle , the greater linear extent of which it could never reach , and consequently could never as a polygon conform to the conditions required for a perfect circle - viz . , “ A circle ...
... chord of the arc formed by the next circumscribing circle , the greater linear extent of which it could never reach , and consequently could never as a polygon conform to the conditions required for a perfect circle - viz . , “ A circle ...
Página 20
... chord of a corresponding arc or segment of their enclosing boundary . But the area of those segments , and the extra boundary measure of their curvature , is regarded as being cut off , or at least not included in either the boundary or ...
... chord of a corresponding arc or segment of their enclosing boundary . But the area of those segments , and the extra boundary measure of their curvature , is regarded as being cut off , or at least not included in either the boundary or ...
Otras ediciones - Ver todas
The Squared Circle: Being a Short Treatise, Describing the Manner by Which ... James Bailey Andrews Sin vista previa disponible - 2016 |
The Squared Circle: Being A Short Treatise, Describing the Manner by Which ... James Bailey Andrews Sin vista previa disponible - 2009 |
Términos y frases comunes
12 arcs 16 inches 18 circular rings 18 triangles 24 inches 24 triangles absolute amount angular boundary angular measurement appears per cal area and boundary area of 48 area of cal bisect boundaries and areas calculations centre circular and spherical circular ring measurement circular ring mode circumscribing circle circumscribing polygon deducting the area described duplication entire circle equal in area equilateral triangle Euclid Euclid's exactly equal excess extent of 80 form the chords give the area give the true given at cal hypotenuse hypothesis inches diameter inscribed circle investigation linear extent linear measure mode of enquiry obtain one-fourth the area one-fourth the diameter one-half one-sixth perfect circle polygon sides radius regarded relative proportion represented by cal right angle right lines drawn right-angled triangle second polygon six arcs spherical geometry square of 16 square root triangles will equal true area true boundary true circular boundary true circumference true proportional
Pasajes populares
Página 22 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Página 6 - ... right-angled triangle (ABC) the square which is described upon the side (AC) subtending the right angle is equal to the sum of the squares described upon the sides (AB and CB) which contain the right angle.