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 74
Pagina 6
... fore also the point C must coincide with the point F , because AC is equal to DF : But the point B coincides with the point E ; wherefore the base BC must coincide with the base EF ( Cor . Def . 3 ) , and be equal to it . Therefore also ...
... fore also the point C must coincide with the point F , because AC is equal to DF : But the point B coincides with the point E ; wherefore the base BC must coincide with the base EF ( Cor . Def . 3 ) , and be equal to it . Therefore also ...
Pagina 12
... fore the angle ECD , that is , ACD , is greater than BAE . In the same manner , if the side BC be bisected , it may be demonstrated that the angle BCG , that is , ( I. 15 ) the angle ACD , is greater than the angle ABC . Therefore , if ...
... fore the angle ECD , that is , ACD , is greater than BAE . In the same manner , if the side BC be bisected , it may be demonstrated that the angle BCG , that is , ( I. 15 ) the angle ACD , is greater than the angle ABC . Therefore , if ...
Pagina 15
... FG ; and because DC , CE E B F are equal to FA , AG , each to each , and the base DE to the base FG ; the angle DCE is equal ( I. 8 ) to the angle FAG . There- * See Notes . fore , at the given point A in the given BOOK FIRST . 15.
... FG ; and because DC , CE E B F are equal to FA , AG , each to each , and the base DE to the base FG ; the angle DCE is equal ( I. 8 ) to the angle FAG . There- * See Notes . fore , at the given point A in the given BOOK FIRST . 15.
Pagina 16
To which are Added, Elements of Plane and Spherical Trignonometry John Playfair. fore , at the given point A in the given straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP ...
To which are Added, Elements of Plane and Spherical Trignonometry John Playfair. fore , at the given point A in the given straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP ...
Pagina 18
... fore the two AB , BC are equal to the two DE , EF , each to each ; and they contain equal angles ; wherefore the base AC is equal to the base DF , and the third angle BAC to the third angle EDF . Therefore , if two triangles , & c ...
... fore the two AB , BC are equal to the two DE , EF , each to each ; and they contain equal angles ; wherefore the base AC is equal to the base DF , and the third angle BAC to the third angle EDF . Therefore , if two triangles , & c ...
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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