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 71
Pagina 11
... manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which , therefore , is in the same straight line with CB . Wherefore , if at a point , & c . Q. E. D. PROP . XV . THEOR . If two straight ...
... manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which , therefore , is in the same straight line with CB . Wherefore , if at a point , & c . Q. E. D. PROP . XV . THEOR . If two straight ...
Pagina 12
... 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 one side , & c . Q. E. D. PROP . XVII . THEOR . Any two angles of a ...
... 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 one side , & c . Q. E. D. PROP . XVII . THEOR . Any two angles of a ...
Pagina 13
... manner , it may be demonstrated , that BAC , ACB , as also , CAB , ABC are less than two right angles . Therefore , any two angles , & c . Q. E. D. PROP . XVIII . A A B THEOR . The greater side of every triangle has the greater angle ...
... manner , it may be demonstrated , that BAC , ACB , as also , CAB , ABC are less than two right angles . Therefore , any two angles , & c . Q. E. D. PROP . XVIII . A A B THEOR . The greater side of every triangle has the greater angle ...
Pagina 14
... manner , it may be demonstrated , that the sides AB , BC are greater than CA , and BC , CA greater than AB . Therefore , any two sides , & c . Q. E. D. PROP . XXI . THEOR . If from the ends of one side of a triangle , there be drawn two ...
... manner , it may be demonstrated , that the sides AB , BC are greater than CA , and BC , CA greater than AB . Therefore , any two sides , & c . Q. E. D. PROP . XXI . THEOR . If from the ends of one side of a triangle , there be drawn two ...
Pagina 18
... manner , it may be c demonstrated , that they do not meet towards A , C ; but those straight lines F E B G which meet neither way , though produced ever so far , are parallel ( Def . 30 ) to one another . AB therefore is parallel to CD ...
... manner , it may be c demonstrated , that they do not meet towards A , C ; but those straight lines F E B G which meet neither way , though produced ever so far , are parallel ( Def . 30 ) to one another . AB therefore is parallel to CD ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Anteprima non disponibile - 2021 |
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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