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 9
... surface , the breadth of the square , say 2 inches , and in height equal to that of the arc of the triangle under- neath , and the area of 6 of these magnitudes will form a quadrilateral figure , equal in area to the difference stated ...
... surface , the breadth of the square , say 2 inches , and in height equal to that of the arc of the triangle under- neath , and the area of 6 of these magnitudes will form a quadrilateral figure , equal in area to the difference stated ...
Side 17
... surface value of their sides will remain the same as that of the hexagon , through every subsequent stage of their duplication by a similar process , till they reach the most minute stage of their subdivision ; and well knowing that so ...
... surface value of their sides will remain the same as that of the hexagon , through every subsequent stage of their duplication by a similar process , till they reach the most minute stage of their subdivision ; and well knowing that so ...
Side 19
... surfaces of all these angular or minute polygon sides as a boundary , in such case the full extent of this surface measure , when thus erroneously valued as a circumference , would necessarily give as its area that of a circle , the ...
... surfaces of all these angular or minute polygon sides as a boundary , in such case the full extent of this surface measure , when thus erroneously valued as a circumference , would necessarily give as its area that of a circle , the ...
Side 20
... surfaces of a numerously - sided polygon , assumed to be constructed within the area of the true circular boundary , so that each minute side of said polygon is thus regarded as forming a separate and distinct chord of a corresponding ...
... surfaces of a numerously - sided polygon , assumed to be constructed within the area of the true circular boundary , so that each minute side of said polygon is thus regarded as forming a separate and distinct chord of a corresponding ...
Side 22
... surface measure of the circumscribing polygon nor its area can be regarded as a true proportional of the diameter given , which only applies to a perfect circle , and not to the polygon . In confirmation of these facts , I think that it ...
... surface measure of the circumscribing polygon nor its area can be regarded as a true proportional of the diameter given , which only applies to a perfect circle , and not to the polygon . In confirmation of these facts , I think that it ...
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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.