This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1872 Excerpt: ...(26); and if the circumferences of circles are divided iuto the same iunnite number of arcs, the polygons formed by their chords, that is, the circles themselves, are regular polygons of the same number of sides and are therefore similar (II. 33); and the apothems of the polygons are the radii of the circles; therefore ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1872 Excerpt: ...(26); and if the circumferences of circles are divided iuto the same iunnite number of arcs, the polygons formed by their chords, that is, the circles themselves, are regular polygons of the same number of sides and are therefore similar (II. 33); and the apothems of the polygons are the radii of the circles; therefore the circumferences of the circles are as their radii (II. 36), or as twice their radii, that is, as their diameters. 29. Cor. 1. If C and c denote the circumferences, R and r the corresponding radii, and D and d the corresponding diameters, we have C: c = R: r = D: d or C: R = c: r and/?. C: B = c: d That is, the ratio of the circumference of every circle to its radius or to its diameter is the same, that is, is constant. The constant ratio of the circumference to its diameter is denoted by 7r (the Greek letter p). C 30. Cor. 2. h. THEOREM X. 31. The area of a circle is equal to half the product of its circumference and its radius. The area of a regular polygon is half the product of its perimeter and its apothem (II. 37); a circle is a regular polygon of an infinite number of sides (2G); the circumference of the circle is the perimeter of the polygon, and its radius is the apothem; therefore the area of a circle is half the product of its circumference and its radius. THEOREM XI. 33 The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. In the circle whose centre is C draw the chord A B equal to the radius; A B is the side of a regular hexagon inscribed in a circle. Draw the radii CA and CB; C A B is, an equilateral, and therefore an equiangular triangle; hence the angle G is equal to one third of two right angles, or one sixth of four right angles; that is, the arc A B is one sixth of the whole circumference,
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Add this copy of An Elementary Geometry to cart. $13.95, fair condition, Sold by Bookshop Baltimore rated 5.0 out of 5 stars, ships from Baltimore, MD, MD, UNITED STATES, published 1876 by Thompson, Brown, and Co.
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Seller's Description:
Fair. Black cloth boards. Clean text, good binding. 110 pages. One page is heavily creased. Practical questions at the end of each chapters. Former owner's name handwritten in cursive inside: Walter K. Purinton; Eaton and Bradbury's Mathematical Series.
Add this copy of An Elementary Geometry to cart. $32.12, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2023 by Outlook Verlag.
Add this copy of An Elementary Geometry to cart. $32.12, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2023 by Outlook Verlag.
Add this copy of An Elementary Geometry to cart. $34.13, new condition, Sold by Ria Christie Books rated 5.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2023 by Outlook Verlag.
Add this copy of An Elementary Geometry to cart. $34.13, new condition, Sold by Ria Christie Books rated 5.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2023 by Outlook Verlag.
Add this copy of An Elementary Geometry to cart. $48.23, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2023 by Outlook Verlag.