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 4
... circular rings , with a view to ascertain their absolute value , and that of the complete contents of the circle which they collectively constitute ; and by this means I ... CIRCULAR RING MEASUREMENTS . POSTULATES . 1. Let 4 Introductory .
... circular rings , with a view to ascertain their absolute value , and that of the complete contents of the circle which they collectively constitute ; and by this means I ... CIRCULAR RING MEASUREMENTS . POSTULATES . 1. Let 4 Introductory .
Página 5
... circular ring , to find the relative value of which to the entire circle I am thus conducted to my first hypothesis . HYPOTHESES . 1. That the circular ring thus formed will be equal in area to that of a circle the diameter of which is ...
... circular ring , to find the relative value of which to the entire circle I am thus conducted to my first hypothesis . HYPOTHESES . 1. That the circular ring thus formed will be equal in area to that of a circle the diameter of which is ...
Página 6
... circular ring , is exactly equal in area to one - tenth that of the hexagon , or to one - half that of the arcs . ( Proofs to follow . ) COR . 1. It would therefore follow , that if the hexagon be composed of ... Circular Ring Measurements .
... circular ring , is exactly equal in area to one - tenth that of the hexagon , or to one - half that of the arcs . ( Proofs to follow . ) COR . 1. It would therefore follow , that if the hexagon be composed of ... Circular Ring Measurements .
Página 7
... circular ring as a boundary in excess . Now it is manifest that this boundary must necessarily repre- sent an area exactly equal to that of the small circle ( Fig . 4 ) , the small arc or segment which is ... Circular Ring Measurements . 7.
... circular ring as a boundary in excess . Now it is manifest that this boundary must necessarily repre- sent an area exactly equal to that of the small circle ( Fig . 4 ) , the small arc or segment which is ... Circular Ring Measurements . 7.
Página 8
... at half the height of each angle . So that the second polygon thus produced , also of 12 sides , will not only cut off from the area of the first polygon 12 of those angles , collectively equal in со Circular Ring Measurements .
... at half the height of each angle . So that the second polygon thus produced , also of 12 sides , will not only cut off from the area of the first polygon 12 of those angles , collectively equal in со Circular Ring Measurements .
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.