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
... perfect results with less than half the calculations required by the former method ( which I hope to explain in the course of this enquiry ) , yet , as it is in some measure subject to the same objections as the former method , I do not ...
... perfect results with less than half the calculations required by the former method ( which I hope to explain in the course of this enquiry ) , yet , as it is in some measure subject to the same objections as the former method , I do not ...
Side 7
... perfect in both ( Euclid , ax . 8 ) , while the chord of this segment must necessarily be equal to the diameter of the small circle - thus perfectly establishing my first hypothesis . In proof of my second hypothesis I would refer to ...
... perfect in both ( Euclid , ax . 8 ) , while the chord of this segment must necessarily be equal to the diameter of the small circle - thus perfectly establishing my first hypothesis . In proof of my second hypothesis I would refer to ...
Side 8
... perfect square , formed by four times the square of the height of a large triangle of the hexagon , say 12 inches , as 12 x 4-48 inches ; and that 12 inches is the absolute square of the height is easily proved by Euclid's 47 prop . , B ...
... perfect square , formed by four times the square of the height of a large triangle of the hexagon , say 12 inches , as 12 x 4-48 inches ; and that 12 inches is the absolute square of the height is easily proved by Euclid's 47 prop . , B ...
Side 10
... perfect and complete illustration and proof of my second hypothesis , I purpose exhibiting the aforesaid 18 triangles , not only increased to the area of 18 circular rings , but also changed into the perfect form of 18 separate and ...
... perfect and complete illustration and proof of my second hypothesis , I purpose exhibiting the aforesaid 18 triangles , not only increased to the area of 18 circular rings , but also changed into the perfect form of 18 separate and ...
Side 16
... perfect circle , formed from the hexagon by the addition of one - fifth , as I have already shown , but also into the area of a perfect circle , the circumference of which shall possess the same linear measure as that of the hexagon ...
... perfect circle , formed from the hexagon by the addition of one - fifth , as I have already shown , but also into the area of a perfect circle , the circumference of which shall possess the same linear measure as that of the hexagon ...
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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.