The Squared Circle: Being a Short Treatise, Describing the Manner by which Its True Area and Boundary Were DiscoveredM. Ward & Company, 1884 - 23 páginas |
Dentro del libro
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Página 5
... four equilateral triangles , the sides and height of each measuring one - half but containing only one - fourth the area of the larger one , so that a hexagon composed of six of the smaller triangles will only be equal to one - fourth ...
... four equilateral triangles , the sides and height of each measuring one - half but containing only one - fourth the area of the larger one , so that a hexagon composed of six of the smaller triangles will only be equal to one - fourth ...
Página 8
... 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. 1 , as it forms the ...
... 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. 1 , as it forms the ...
Página 22
... six arcs formed under a circumscribing circle around a hexagon nearly the entire area of six squares , within a space only capable of containing four of like magnitude . This appears in the excess of their boundaries 22 Appendix .
... six arcs formed under a circumscribing circle around a hexagon nearly the entire area of six squares , within a space only capable of containing four of like magnitude . This appears in the excess of their boundaries 22 Appendix .
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.