Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical TrigonometryE. Duyckinck, and George Long, 1824 - 333 sider |
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Resultat 1-5 av 33
Side xii
... called the Geo- metrical Analysis , and has itself an analytical form ; and for these reasons , I would willingly reserve it , or rather a compend of it , for a separate work , intended as an introduction to the study of that analysis ...
... called the Geo- metrical Analysis , and has itself an analytical form ; and for these reasons , I would willingly reserve it , or rather a compend of it , for a separate work , intended as an introduction to the study of that analysis ...
Side 17
... called a straight " line . " " COR . Hence two straight lines cannot inclose a space . Neither can " two straight lines have a common segment ; that is , they cannot " coincide in part , without coinciding altogether . " IV . A ...
... called a straight " line . " " COR . Hence two straight lines cannot inclose a space . Neither can " two straight lines have a common segment ; that is , they cannot " coincide in part , without coinciding altogether . " IV . A ...
Side 18
... called the angle DBC , or CBD ; but , if there be only one angle at a point , it may be expressed by a letter placed ... called a right angle ; and the straight line which stands on the other is called a per- pendicular to it . VIII . An ...
... called the angle DBC , or CBD ; but , if there be only one angle at a point , it may be expressed by a letter placed ... called a right angle ; and the straight line which stands on the other is called a per- pendicular to it . VIII . An ...
Side 19
... called the circumference , and is such that all straight lines drawn from a cer- tain point within the figure to the circumference , are equal to one another . XII . And this point is called the centre of the circle . XIII . A diameter ...
... called the circumference , and is such that all straight lines drawn from a cer- tain point within the figure to the circumference , are equal to one another . XII . And this point is called the centre of the circle . XIII . A diameter ...
Side 20
... figures besides these , are called Trapeziums . XXX . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a straight 20 ...
... figures besides these , are called Trapeziums . XXX . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a straight 20 ...
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Vanlige uttrykk og setninger
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals 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 straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore