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 TrignonometryBell & Bradfute, 1875 - 257 sider |
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Resultat 1-5 av 35
Side
... definition . In simplicity of treatment , and in rigour of demonstration , this book leaves nothing to be desired . But the geometrical representation of what is essentially an arithmetical multiplication , renders the doc- trine , as ...
... definition . In simplicity of treatment , and in rigour of demonstration , this book leaves nothing to be desired . But the geometrical representation of what is essentially an arithmetical multiplication , renders the doc- trine , as ...
Side
... The whole work is now so well known and appreciated , that a detailed explanatory preface is altogether superfluous . PHILIP KELLAND . COLLEGE OF EDINBURGH , June 1 , 1859 . ELEMENTS OF GEOMETRY . BOOK FIRST . DEFINITIONS . I. iv PREFACE .
... The whole work is now so well known and appreciated , that a detailed explanatory preface is altogether superfluous . PHILIP KELLAND . COLLEGE OF EDINBURGH , June 1 , 1859 . ELEMENTS OF GEOMETRY . BOOK FIRST . DEFINITIONS . I. iv PREFACE .
Side 1
... DEFINITIONS . I. A point is that which has position , but not magnitude . * II . A line is length without breadth . COROLLARY . The extremities of a line are points ; and the inter- sections of one line with another are also points ...
... DEFINITIONS . I. A point is that which has position , but not magnitude . * II . A line is length without breadth . COROLLARY . The extremities of a line are points ; and the inter- sections of one line with another are also points ...
Side 4
... ( Definition 11 ) to AB ; and because the point B is the centre of the circle ACE , BC is equal to AB : But it has been proved that CA is equal to AB ; therefore CA , CB , are each of them equal to AB ; now , things which are equal to the ...
... ( Definition 11 ) to AB ; and because the point B is the centre of the circle ACE , BC is equal to AB : But it has been proved that CA is equal to AB ; therefore CA , CB , are each of them equal to AB ; now , things which are equal to the ...
Side 31
... DEFINITIONS . I. Every right - angled parallelogram , or rectangle , is said to be contained by any two of the straight lines which are about one of the right angles . Thus the right - angled parallelogram AC * is called the rectangle ...
... DEFINITIONS . I. Every right - angled parallelogram , or rectangle , is said to be contained by any two of the straight lines which are about one of the right angles . Thus the right - angled parallelogram AC * is called the rectangle ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Ingen forhåndsvisning tilgjengelig - 2021 |
Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore given circle given point given straight line hypotenuse inscribed less Let ABC Let the straight meet multiple opposite angle parallel parallelogram perpendicular plane polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles segment semicircle similar sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC straight line drawn tangent THEOR third three straight lines touches the circle triangle ABC triangle DEF wherefore