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 7
... equiangular . PROP . VI . THEOR . If two angles of a triangle be 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 ...
... equiangular . PROP . VI . THEOR . If two angles of a triangle be 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 ...
Pagina 66
... equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF . I Draw ( III . 17 ) the straight line GAH 66 ELEMENTS ...
... equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF . I Draw ( III . 17 ) the straight line GAH 66 ELEMENTS ...
Pagina 67
... equiangular to the triangle DEF , and it is inscribed in the circle ABC . Which was to be done . PROP . III . PROB . About a given circle to describe a triangle equiangular to a given Justify the figure . triangle . Let ABC be the given ...
... equiangular to the triangle DEF , and it is inscribed in the circle ABC . Which was to be done . PROP . III . PROB . About a given circle to describe a triangle equiangular to a given Justify the figure . triangle . Let ABC be the given ...
Pagina 68
To which are Added, Elements of Plane and Spherical Trignonometry John Playfair. equiangular to the triangle DEF ; and it is described about the circle ABC . Which was to be done . PROP . IV . PROB . To inscribe a circle in a given ...
To which are Added, Elements of Plane and Spherical Trignonometry John Playfair. equiangular to the triangle DEF ; and it is described about the circle ABC . Which was to be done . PROP . IV . PROB . To inscribe a circle in a given ...
Pagina 72
... equiangular pentagon in a given circle . Let ABCDE be the given circle , it is required to inscribe an equilateral and equiangular penta- gon in the circle ABCDE . F B E Describe ( IV . 10 ) an isosceles triangle FGH , having each of ...
... equiangular pentagon in a given circle . Let ABCDE be the given circle , it is required to inscribe an equilateral and equiangular penta- gon in the circle ABCDE . F B E Describe ( IV . 10 ) an isosceles triangle FGH , having each of ...
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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