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 76
Pagina 2
... centre of the circle . XIII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XIV . A semicircle is the figure contained by a diameter and the part of the ...
... centre of the circle . XIII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XIV . A semicircle is the figure contained by a diameter and the part of the ...
Pagina 3
... centre , at any distance from that centre . AXIOMS . I. Things which are equal to the same thing are equal to one another . * II . If equals be added to equals , the wholes are equal . III . If equals be taken from equals , the ...
... centre , at any distance from that centre . AXIOMS . I. Things which are equal to the same thing are equal to one another . * II . If equals be added to equals , the wholes are equal . III . If equals be taken from equals , the ...
Pagina 4
... centre A , at the distance AB , describe ( Postulate 3 ) the circle BCD ; and from the centre B , at the distance BA , describe the circle ACE ; D and from the point C , in which the circles cut one another , draw the straight lines ...
... centre A , at the distance AB , describe ( Postulate 3 ) the circle BCD ; and from the centre B , at the distance BA , describe the circle ACE ; D and from the point C , in which the circles cut one another , draw the straight lines ...
Pagina 5
... centre A , and at the distance AD , describe ( Post . 3 ) the circle DEF ; and because A is the centre of the circle DEF , AE is equal to AD ; but the straight line C is equal to AD ; whence AE and C are each of them equal to AD ...
... centre A , and at the distance AD , describe ( Post . 3 ) the circle DEF ; and because A is the centre of the circle DEF , AE is equal to AD ; but the straight line C is equal to AD ; whence AE and C are each of them equal to AD ...
Pagina 10
... centre C , at the distance CD , describe ( Post . 3 ) the circle EGF meeting AB in F , and bisect ( I. 10 ) FG in H , and join CF , CH , CG ; the straight line CH , drawn from the given point C , is perpendicular to the given straight ...
... centre C , at the distance CD , describe ( Post . 3 ) the circle EGF meeting AB in F , and bisect ( I. 10 ) FG in H , and join CF , CH , CG ; the straight line CH , drawn from the given point C , is perpendicular to the given straight ...
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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