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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Side
... book . The doctrine of Proportion laid down by Euclid in that book is an admirable specimen of reasoning based on an abstract definition . In simplicity of treatment , and in rigour of demonstration , this book leaves nothing to be ...
... book . The doctrine of Proportion laid down by Euclid in that book is an admirable specimen of reasoning based on an abstract definition . In simplicity of treatment , and in rigour of demonstration , this book leaves nothing to be ...
Side
... book than those of any other book of the Elements . The Supplement consists of three books . The First Book treats of the rectification and quadrature of the circle . In the present edition , this book has been condensed and sim ...
... book than those of any other book of the Elements . The Supplement consists of three books . The First Book treats of the rectification and quadrature of the circle . In the present edition , this book has been condensed and sim ...
Side 1
... BOOK FIRST . 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 ...
... BOOK FIRST . 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 ...
Side 3
... unequal . V. If equals be taken from unequals , the remainders are unequal . VI . Things which are doubles of the same thing , are equal to one another . * See Notes . VII . Things which are halves of the same thing BOOK FIRST . 3.
... unequal . V. If equals be taken from unequals , the remainders are unequal . VI . Things which are doubles of the same thing , are equal to one another . * See Notes . VII . Things which are halves of the same thing BOOK FIRST . 3.
Side 5
... the point E , because AB is * The three conclusions in this enunciation are more briefly expressed by saying , that the triangles are in every way equal . t See Notes . equal to DE ; and AB coinciding with DE , BOOK FIRST . 5.
... the point E , because AB is * The three conclusions in this enunciation are more briefly expressed by saying , that the triangles are in every way equal . t See Notes . equal to DE ; and AB coinciding with DE , BOOK FIRST . 5.
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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