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
... 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 intend pursuing my enquiry by ...
... 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 intend pursuing my enquiry by ...
Página 5
... 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 the area of the larger hexagon . 3. And that the area of the six arcs ...
... 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 the area of the larger hexagon . 3. And that the area of the six arcs ...
Página 6
... half that of the arcs . ( Proofs to follow . ) COR . 1. It would therefore follow , that if the hexagon be composed of 24 small triangles , and the six large arcs being also equal to 24 small arcs , the total value of which is equal to ...
... half that of the arcs . ( Proofs to follow . ) COR . 1. It would therefore follow , that if the hexagon be composed of 24 small triangles , and the six large arcs being also equal to 24 small arcs , the total value of which is equal to ...
Página 7
... 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 triangle is described both singly and in duplicate ...
... 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 triangle is described both singly and in duplicate ...
Página 8
... half of its base in length , say half a side of the hexagon , or 2 inches ; and that the upper portion of the triangle cut off must also be equal to one - fourth of its area , and at half the height of each angle . So that the second ...
... half of its base in length , say half a side of the hexagon , or 2 inches ; and that the upper portion of the triangle cut off must also be equal to one - fourth of its area , and at half the height of each angle . So that the second ...
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.