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 sider |
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Resultat 1-5 av 59
Side 1
... meet together , but are not in the same straight line . N.B. - When several an- gles are at one point B , any one of them is ex- pressed by three letters , of which the letter that is B E at the vertex of the angle , that is , at the ...
... meet together , but are not in the same straight line . N.B. - When several an- gles are at one point B , any one of them is ex- pressed by three letters , of which the letter that is B E at the vertex of the angle , that is , at the ...
Side 3
... meet , are called Parallel Lines . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III ...
... meet , are called Parallel Lines . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III ...
Side 18
... meet towards B , D. In like 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 ...
... meet towards B , D. In like 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 ...
Side 20
... meet on the side of EF on which the two angles are , that are less than two right angles . For , if not , KL and CD are either parallel , or they meet on the other side of EF ; but they are not parallel ; for the angles KGH , GHC would ...
... meet on the side of EF on which the two angles are , that are less than two right angles . For , if not , KL and CD are either parallel , or they meet on the other side of EF ; but they are not parallel ; for the angles KGH , GHC would ...
Side 21
... meets the two straight lines BC , EF , makes the alternate angles EAD , ADC equal to one an- E- other , EF is parallel ( I. 27 ) to BC . Therefore , the straight line EAF is drawn through the given point A par- allel to the given ...
... meets the two straight lines BC , EF , makes the alternate angles EAD , ADC equal to one an- E- other , EF is parallel ( I. 27 ) to BC . Therefore , the straight line EAF is drawn through the given point A par- allel to the given ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Ingen forhåndsvisning tilgjengelig - 2021 |
Vanlige uttrykk og setninger
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