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 3
... sides of a polygon enclosed within , and touching the boundary of a circle of any given diameter , as I consider ... side of the polygon , however minute , remains unparallel with the curved line forming its circular boundary . And I ...
... sides of a polygon enclosed within , and touching the boundary of a circle of any given diameter , as I consider ... side of the polygon , however minute , remains unparallel with the curved line forming its circular boundary . And I ...
Página 5
... sides of each forming the radius , while their third or outer sides form the chords of the six arcs embraced within their surrounding circle . 2. And that an equilateral triangle of any dimensions is divisible into four equilateral ...
... sides of each forming the radius , while their third or outer sides form the chords of the six arcs embraced within their surrounding circle . 2. And that an equilateral triangle of any dimensions is divisible into four equilateral ...
Página 6
... 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 . " - Euclid , prop . 47 , B. 1 . The great principle of this beautiful proposition , with ...
... 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 . " - Euclid , prop . 47 , B. 1 . The great principle of this beautiful proposition , with ...
Página 7
... sides of a right - angled triangle , as that which half - squares bear to each other when constructed on the respective lines of the same figure . For illustration I would refer to Figs . 1 , 2 , 3 , and 4 , where this right - angled ...
... sides of a right - angled triangle , as that which half - squares bear to each other when constructed on the respective lines of the same figure . For illustration I would refer to Figs . 1 , 2 , 3 , and 4 , where this right - angled ...
Página 8
... sides have been ascertained . First take the 12 arcs cut off the circle by the first polygon , the sides of which represent the chords of said arcs . We will bisect at a point each of these chords of the 12 arcs , and connect these ...
... sides have been ascertained . First take the 12 arcs cut off the circle by the first polygon , the sides of which represent the chords of said arcs . We will bisect at a point each of these chords of the 12 arcs , and connect these ...
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.