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 σελίδες |
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Σελίδα 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 ...
Σελίδα 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 ...
Σελίδα 18
... called the angle DBC , or CBD ; but , if there be only one angle at ⚫ a point , it may be expressed by a letter ... called a right angle ; and the straight line which stands on the other is called a per- pendicular to it . VIII ...
... called the angle DBC , or CBD ; but , if there be only one angle at ⚫ a point , it may be expressed by a letter ... called a right angle ; and the straight line which stands on the other is called a per- pendicular to it . VIII ...
Σελίδα 19
... called the circumference , and is such that all straight lines drawn from a cer- taid 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- taid 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 ...
Σελίδα 20
... 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 ELEMENTS 00 ...
... 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 ELEMENTS 00 ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder definition 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 MDCCCXX 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