The Squared Circle: Being a Short Treatise, Describing the Manner by which Its True Area and Boundary Were DiscoveredM. Ward & Company, 1884 - 23 sider |
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Resultat 1-5 av 11
Side 5
... arcs occupying the spaces between the hexagon's six outer sides and their respective parts of the surround- ing circle stand to each other in the same relative proportion as the triangles do which they cover ; the larger arc , measuring ...
... arcs occupying the spaces between the hexagon's six outer sides and their respective parts of the surround- ing circle stand to each other in the same relative proportion as the triangles do which they cover ; the larger arc , measuring ...
Side 6
... arcs into a circular ring , is exactly equal in area to one - tenth that of the hexagon , or to one - half that of the arcs . ( Proofs to follow . ) COR . 1. It would therefore follow , that if the hexagon be composed of 24 small ...
... arcs into a circular ring , is exactly equal in area to one - tenth that of the hexagon , or to one - half that of the arcs . ( Proofs to follow . ) COR . 1. It would therefore follow , that if the hexagon be composed of 24 small ...
Side 7
... arcs over each of its six sides having been bisected , and connected from this point with that terminating the chords of their respective arcs by twelve right lines , which will thus form the chords of the twelve arcs cut off the ...
... arcs over each of its six sides having been bisected , and connected from this point with that terminating the chords of their respective arcs by twelve right lines , which will thus form the chords of the twelve arcs cut off the ...
Side 8
... arcs in combination . with the hexagon ; and as it is only the absolute area that I require , this saves me the necessity of following out this interminable square root farther than the 80 figures I have given in cal . No. 4. Now , on ...
... arcs in combination . with the hexagon ; and as it is only the absolute area that I require , this saves me the necessity of following out this interminable square root farther than the 80 figures I have given in cal . No. 4. Now , on ...
Side 9
... arcs , but will also include the value of the other half within its own area , and in excess of that of the hexagon ... arc of the triangle under- neath , and the area of 6 of these magnitudes will form a quadrilateral figure , equal in ...
... arcs , but will also include the value of the other half within its own area , and in excess of that of the hexagon ... arc of the triangle under- neath , and the area of 6 of these magnitudes will form a quadrilateral figure , equal in ...
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The Squared Circle: Being A Short Treatise, Describing the Manner by Which ... James Bailey Andrews Ingen forhåndsvisning tilgjengelig - 2009 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.