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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Side 4
... linear extent , the area alone being thus proportionably increased ; to all of which matters I have added , in the form of an Appendix , a short statement of my views regarding the nature of the errors existing in the present systems of ...
... linear extent , the area alone being thus proportionably increased ; to all of which matters I have added , in the form of an Appendix , a short statement of my views regarding the nature of the errors existing in the present systems of ...
Side 9
... extent of this polygon and that of the hexagon remain exactly the same in their 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 ...
... extent of this polygon and that of the hexagon remain exactly the same in their 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 ...
Side 16
... extent ) of the sides of each of the successive polygons , generated from the first polygon of 12 sides , which has an area of 48 inches , and by which process the linear measure of the sides collectively of each polygon remains the ...
... extent ) of the sides of each of the successive polygons , generated from the first polygon of 12 sides , which has an area of 48 inches , and by which process the linear measure of the sides collectively of each polygon remains the ...
Side 17
... linear extent of which it could never reach , and consequently could never as a polygon conform to the conditions ... extent ) , approached so closely to a ninth of its area , that I tried a ninth part added to the area of the hexagon ...
... linear extent of which it could never reach , and consequently could never as a polygon conform to the conditions ... extent ) , approached so closely to a ninth of its area , that I tried a ninth part added to the area of the hexagon ...
Side 19
... linear extent , and so much so , that it could not possibly be formed within the true circular enclosure ; and it is also manifest that should we try to measure the collective surfaces of all these angular or minute polygon sides as a ...
... linear extent , and so much so , that it could not possibly be formed within the true circular enclosure ; and it is also manifest that should we try to measure the collective surfaces of all these angular or minute polygon sides as a ...
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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.