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
Resultados 1-5 de 7
Página 4
... give the figures said to be engraved on his tomb at St. Peter's Church , Leyden , viz . , 6.28318530717958647692528676655900576 . Yet we find these figures differing materially from those of his contem- poraries . I need not give names ...
... give the figures said to be engraved on his tomb at St. Peter's Church , Leyden , viz . , 6.28318530717958647692528676655900576 . Yet we find these figures differing materially from those of his contem- poraries . I need not give names ...
Página 7
... - half of which , say 8 inches , will give the area of each of the six figures , say 8 × 6 = 48 inches , per cal . No. 18 ; and I would here notice that the area of this polygon is exactly equal to the area of Circular Ring Measurements .
... - half of which , say 8 inches , will give the area of each of the six figures , say 8 × 6 = 48 inches , per cal . No. 18 ; and I would here notice that the area of this polygon is exactly equal to the area of Circular Ring Measurements .
Página 17
... give the same results ) by multiplying one - fourth the diameter by the boundary of 24 inches , say by 4 and by 6 , which will again give the true area of the circle . It will here be noticed that the last calculation in this series ...
... give the same results ) by multiplying one - fourth the diameter by the boundary of 24 inches , say by 4 and by 6 , which will again give the true area of the circle . It will here be noticed that the last calculation in this series ...
Página 19
... give as its area that of a circle , the boundary of which would be equal to that of the angular one . The error of doing so will appear very manifest on looking at the linear extent of the angular boundary , as given at cal . No. x 13 ...
... give as its area that of a circle , the boundary of which would be equal to that of the angular one . The error of doing so will appear very manifest on looking at the linear extent of the angular boundary , as given at cal . No. x 13 ...
Página 20
... give an area of more than twice the extent of cal . No. × 15 , multiplied by one , in excess of what its angular boundary actually contains . For if half the boundary multiplied by half the diameter gives the true area of a circle ...
... give an area of more than twice the extent of cal . No. × 15 , multiplied by one , in excess of what its angular boundary actually contains . For if half the boundary multiplied by half the diameter gives the true area of a circle ...
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.