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 92
Pagina 4
... equal to one another . VIII . Magnitudes which coincide with one another ; that is , which exactly fill the same ... ABC is an equilateral triangle . B E O A Because the point A is the centre of the circle BCD , AC is equal ( Definition ...
... equal to one another . VIII . Magnitudes which coincide with one another ; that is , which exactly fill the same ... ABC is an equilateral triangle . B E O A Because the point A is the centre of the circle BCD , AC is equal ( Definition ...
Pagina 5
... equal to the remainder ( Ax . 3 ) BG : But it has been shown , that BC is equal to BG ; wherefore , AL and BC are ... ABC , DEF , be two triangles which have the two sides t AB , AC equal to the two sides DE , DF , each to each , viz ...
... equal to the remainder ( Ax . 3 ) BG : But it has been shown , that BC is equal to BG ; wherefore , AL and BC are ... ABC , DEF , be two triangles which have the two sides t AB , AC equal to the two sides DE , DF , each to each , viz ...
Pagina 6
... equal to it . Therefore also , the whole triangle ABC must coincide with the whole triangle DEF , so that the spaces which they contain , or their areas ( Ax . 8 ) are equal , and the remaining angles of the one must coincide with the ...
... equal to it . Therefore also , the whole triangle ABC must coincide with the whole triangle DEF , so that the spaces which they contain , or their areas ( Ax . 8 ) are equal , and the remaining angles of the one must coincide with the ...
Pagina 7
... equal to one another , the sides which subtend , or are opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . A For , if AB be not ...
... equal to one another , the sides which subtend , or are opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . A For , if AB be not ...
Pagina 8
... equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( I. 5 ) to one ... ABC , DEF be two trian- gles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz ...
... equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( I. 5 ) to one ... ABC , DEF be two trian- gles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Anteprima non disponibile - 2021 |
Parole e frasi comuni
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