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 78
Pagina 2
... ABC , or CBA ; that which is con- tained by AB , BD , is named the angle ABD , or DBA ; and that which is contained ... triangle is that which has three equal sides . XX . An isosceles tri- angle is that which has ( only ) two sides equal .
... ABC , or CBA ; that which is con- tained by AB , BD , is named the angle ABD , or DBA ; and that which is contained ... triangle is that which has three equal sides . XX . An isosceles tri- angle is that which has ( only ) two sides equal .
Pagina 4
... ABC is an equilateral triangle . B E O A Because the point A is the centre of the circle BCD , AC is equal ( 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 ...
... ABC is an equilateral triangle . B E O A Because the point A is the centre of the circle BCD , AC is equal ( 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 ...
Pagina 5
... ABC , DEF , be two triangles which have the two sides t AB , AC equal to the two sides DE , DF , each to each , viz ... triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . , the ...
... ABC , DEF , be two triangles which have the two sides t AB , AC equal to the two sides DE , DF , each to each , viz ... triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . , the ...
Pagina 6
... 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 remaining angles of the other , and be ...
... 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 remaining angles of the other , and be ...
Pagina 7
... ABC : And it has also been proved , that the angle FBC is equal to the angle GCB , which are the angles upon the other side of the base . Therefore , the angles at the base , & c . Q. E. D. COR . Hence , every equilateral triangle ...
... ABC : And it has also been proved , that the angle FBC is equal to the angle GCB , which are the angles upon the other side of the base . Therefore , the angles at the base , & c . Q. E. D. COR . Hence , every equilateral triangle ...
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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