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 47
Pagina 5
... angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the tri- angle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . , ...
... angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the tri- angle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . , ...
Pagina 6
... angle BAC is equal to the angle EDF ; where- 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 ...
... angle BAC is equal to the angle EDF ; where- 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 ...
Pagina 8
... angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , SO that the point B be on E , and the straight line BC upon EF ; the point C must also coincide with the point F , because BC is equal to ...
... angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , SO that the point B be on E , and the straight line BC upon EF ; the point C must also coincide with the point F , because BC is equal to ...
Pagina 9
... angle ; that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut ( I. 3 ) off AE equal to AD ; join DE , and upon it describe ( I. 1 ) ...
... angle ; that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut ( I. 3 ) off AE equal to AD ; join DE , and upon it describe ( I. 1 ) ...
Pagina 12
... angles CBA , BAC . Bisect ( I. 10 ) AC in E , join BE and produce it to F , and make EF equal to BE ; join also FC , and produce AC to G. Because AE is equal to EC , and BE to EF ; AE , EB are equal to CE , EF , each to each ; and the angle ...
... angles CBA , BAC . Bisect ( I. 10 ) AC in E , join BE and produce it to F , and make EF equal to BE ; join also FC , and produce AC to G. Because AE is equal to EC , and BE to EF ; AE , EB are equal to CE , EF , each to each ; and the angle ...
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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