Elements of Geometry; Containing the First Six Books of Euclid ...For Bell & Bradfute, 1814 - 461 Seiten |
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... circle and ellipfe , of fuperficies , of folids , land measure , coals , of a fhip , comparison of troy and ... circle of circles . This work , besides the varied information it contains , will fur- nish many instructive and entertaining ...
... circle and ellipfe , of fuperficies , of folids , land measure , coals , of a fhip , comparison of troy and ... circle of circles . This work , besides the varied information it contains , will fur- nish many instructive and entertaining ...
Seite viii
... circle , subjects that are often omitted alto- gether in works of this kind . They are omitted , however , as I conceive , without any good reason , because , to measure the length of the simplest of all the curves which Geometry ...
... circle , subjects that are often omitted alto- gether in works of this kind . They are omitted , however , as I conceive , without any good reason , because , to measure the length of the simplest of all the curves which Geometry ...
Seite ix
... circle , and of which the one shall be greater than the circum- ference of that circle , and the other less . In the same manner , the quadrature of the circle is per- formed only by approximation , or by finding two rectangles nearly ...
... circle , and of which the one shall be greater than the circum- ference of that circle , and the other less . In the same manner , the quadrature of the circle is per- formed only by approximation , or by finding two rectangles nearly ...
Seite 19
... circle . XIII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circum- ference . XIV . A semicircle is the figure contained by a diameter and the part of the circumference cut off by ...
... circle . XIII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circum- ference . XIV . A semicircle is the figure contained by a diameter and the part of the circumference cut off by ...
Seite 24
... circle BCD , and from the centre B , at the distance BA , de- . scribe the circle ACE ; and from the point C , D in which the circles cut b 1. Post . one another , draw the c 11. Defi nition . d 1. Axi- om , a 1. Post b l . 1 . b ...
... circle BCD , and from the centre B , at the distance BA , de- . scribe the circle ACE ; and from the point C , D in which the circles cut b 1. Post . one another , draw the c 11. Defi nition . d 1. Axi- om , a 1. Post b l . 1 . b ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC arch AC base BC bisected Book centre circle ABC circumference cosine cylinder definition demonstrated described diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles GEOMETRY given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet opposite angle parallel parallelogram perpendicular polygon prism PROB proportional proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle SPHERICAL TRIGONOMETRY straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore