The Squared Circle: Being a Short Treatise, Describing the Manner by which Its True Area and Boundary Were DiscoveredM. Ward & Company, 1884 - 23 páginas |
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Página 5
... hypothesis . HYPOTHESES . 1. That the circular ring thus formed will be equal in area to that of a circle the diameter of which is exactly equal to the chord of the outer arc . ( Proofs to follow - see Figs . 3 and 4. ) Now , as the ...
... hypothesis . HYPOTHESES . 1. That the circular ring thus formed will be equal in area to that of a circle the diameter of which is exactly equal to the chord of the outer arc . ( Proofs to follow - see Figs . 3 and 4. ) Now , as the ...
Página 6
... hypothesis I would refer to Fig . 1 , where the matter will be found simply established on the basis of the mathe- matical fact , that " in a right - angled triangle ( ABC ) the square which is described upon the side ( AC ) subtending ...
... hypothesis I would refer to Fig . 1 , where the matter will be found simply established on the basis of the mathe- matical fact , that " in a right - angled triangle ( ABC ) the square which is described upon the side ( AC ) subtending ...
Página 7
... hypothesis . In proof of my second hypothesis I would refer to Fig . 6 , repre- senting a hexagon formed within a circle of 8 inches diameter , the arcs over each of its six sides having been bisected , and connected from this point ...
... hypothesis . In proof of my second hypothesis I would refer to Fig . 6 , repre- senting a hexagon formed within a circle of 8 inches diameter , the arcs over each of its six sides having been bisected , and connected from this point ...
Página 10
... 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 distinct arched triangles - see Fig . 9 . First , in order to ...
... 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 distinct arched triangles - see Fig . 9 . First , in order to ...
Otras ediciones - Ver todas
The Squared Circle: Being a Short Treatise, Describing the Manner by Which ... James Bailey Andrews Sin vista previa disponible - 2016 |
The Squared Circle: Being A Short Treatise, Describing the Manner by Which ... James Bailey Andrews Sin vista previa disponible - 2009 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.