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 10
... taking the whole series as they now stand to each other , from the first cal . No. 39 = 33 triangles , cal . No. 31-18 triangles , cal . No. 32 = 1 } triangles , as the value of the arcs of the 6 triangles represented by cal . No. 33 ...
... taking the whole series as they now stand to each other , from the first cal . No. 39 = 33 triangles , cal . No. 31-18 triangles , cal . No. 32 = 1 } triangles , as the value of the arcs of the 6 triangles represented by cal . No. 33 ...
Página 20
... taking , say , Van Cullen's boundary of the circle for a diameter of 2 inches , which , on being multiplied by 4 , will give the proportional boundary for a diameter of 8 inches ; and comparing this boundary with that given as the true ...
... taking , say , Van Cullen's boundary of the circle for a diameter of 2 inches , which , on being multiplied by 4 , will give the proportional boundary for a diameter of 8 inches ; and comparing this boundary with that given as the true ...
Página 21
... taking one - half of the linear extent of the figures representing that amount for the measure of the outer sides of the polygon , I then divided this extent by the given number of sides to obtain the measure of a single side , which ...
... taking one - half of the linear extent of the figures representing that amount for the measure of the outer sides of the polygon , I then divided this extent by the given number of sides to obtain the measure of a single side , which ...
Página 22
... taking half the amount for its area , gave exactly a true proportional of the value given for the whole area of the polygon as stated , which , had it been multiplied by any less amount , it could not have done . It therefore follows ...
... taking half the amount for its area , gave exactly a true proportional of the value given for the whole area of the polygon as stated , which , had it been multiplied by any less amount , it could not have done . It therefore follows ...
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.