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
... described a new mode of con- verting the angular boundary of the hexagon into a circular boundary , while it still retains the same linear extent , the area alone being thus proportionably increased ; to all of which matters I have ...
... described a new mode of con- verting the angular boundary of the hexagon into a circular boundary , while it still retains the same linear extent , the area alone being thus proportionably increased ; to all of which matters I have ...
Página 6
... described upon the sides ( AB and CB ) which contain the right angle . " - Euclid , prop . 47 , B. 1 . The great ... described on the sides of a right- angled triangle ( ABC ) , the figure described on the side ( AC ) subtending the ...
... described upon the sides ( AB and CB ) which contain the right angle . " - Euclid , prop . 47 , B. 1 . The great ... described on the sides of a right- angled triangle ( ABC ) , the figure described on the side ( AC ) subtending the ...
Página 7
... described both singly and in duplicate , formed on half of a bisected equilateral triangle of one - sixth of the hexagon within a circle of 8 inches diameter , the hypotenuse equal to the radius of 4 inches or a square of 16 inches ...
... described both singly and in duplicate , formed on half of a bisected equilateral triangle of one - sixth of the hexagon within a circle of 8 inches diameter , the hypotenuse equal to the radius of 4 inches or a square of 16 inches ...
Página 9
... described 2 triangles on the face of each of the 6 squares , thus cutting off in excess a plain surface , the breadth of the square , say 2 inches , and in height equal to that of the arc of the triangle under- neath , and the area of 6 ...
... described 2 triangles on the face of each of the 6 squares , thus cutting off in excess a plain surface , the breadth of the square , say 2 inches , and in height equal to that of the arc of the triangle under- neath , and the area of 6 ...
Página 16
... described in the latter part of pages 8 and 9 ( see Fig . 6 and cal . No. 19 ) , which is perfectly similar to the way by which all the subsequent stages of the duplication of the polygon sides are effected ; so , to make the process ...
... described in the latter part of pages 8 and 9 ( see Fig . 6 and cal . No. 19 ) , which is perfectly similar to the way by which all the subsequent stages of the duplication of the polygon sides are effected ; so , to make the process ...
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.