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 pagine |
Dall'interno del libro
Risultati 1-5 di 36
Pagina 1
... 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 . III . If two lines are such that they cannot coincide in any two ...
... 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 . III . If two lines are such that they cannot coincide in any two ...
Pagina 4
... Magnitudes which coincide with one another ; that is , which exactly fill the same space , are equal to one another . IX . The whole is greater than its part . X. All right angles are equal to one another . XI . Two straight lines which ...
... Magnitudes which coincide with one another ; that is , which exactly fill the same space , are equal to one another . IX . The whole is greater than its part . X. All right angles are equal to one another . XI . Two straight lines which ...
Pagina 31
... magnitudes sig- nifies that those magnitudes are to be added together ; and the sign placed between them signifies that the latter is to be taken away from the former . - = The sign signifies that the things between which it is placed ...
... magnitudes sig- nifies that those magnitudes are to be added together ; and the sign placed between them signifies that the latter is to be taken away from the former . - = The sign signifies that the things between which it is placed ...
Pagina 78
... magnitudes denoted by the letters A and B ; m + n is the sum of the numbers denoted by m and n . III . The sign ( minus ) , written between two letters , signifies the excess of the magnitude denoted by the first of these letters ...
... magnitudes denoted by the letters A and B ; m + n is the sum of the numbers denoted by m and n . III . The sign ( minus ) , written between two letters , signifies the excess of the magnitude denoted by the first of these letters ...
Pagina 79
... magnitudes , of the same kind , to one another in respect of quantity . IV . Magnitudes are said to be of the same kind , when the less can be multiplied so as to exceed the greater ; and it is only such magnitudes that are said to have ...
... magnitudes , of the same kind , to one another in respect of quantity . IV . Magnitudes are said to be of the same kind , when the less can be multiplied so as to exceed the greater ; and it is only such magnitudes that are said to have ...
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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