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 8
Side 5
... 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 twice the boundary and twice the height , is thus divisible into four ...
... 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 twice the boundary and twice the height , is thus divisible into four ...
Side 6
... respective squares formed on the sides of the right - angled triangle of the figure . In confirmation of this statement , see Euclid's demonstration of prop . 31 , B. 6- " If any similar rectilineal figures be similarly described on the ...
... respective squares formed on the sides of the right - angled triangle of the figure . In confirmation of this statement , see Euclid's demonstration of prop . 31 , B. 6- " If any similar rectilineal figures be similarly described on the ...
Side 7
... respective squares . And , on the same principle , the areas of their semicircles will bear the same relative proportion to each other , when their respective diameters represent the three sides of a right - angled triangle , as that ...
... respective squares . And , on the same principle , the areas of their semicircles will bear the same relative proportion to each other , when their respective diameters represent the three sides of a right - angled triangle , as that ...
Side 8
... respectively include the height of the 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 ...
... respectively include the height of the 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 ...
Side 9
... respective linear measurements , the duplication of the sides of polygon No. 2 alone increasing the area , as shown in cal . No. 20. I will next direct attention to Fig . 9 , where will be found the area of polygon No. 2 , represented ...
... respective linear measurements , the duplication of the sides of polygon No. 2 alone increasing the area , as shown in cal . No. 20. I will next direct attention to Fig . 9 , where will be found the area of polygon No. 2 , represented ...
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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.