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 TrigonometryLippincott, Grambo & Company, 1854 - 317 sider |
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Resultat 1-5 av 86
Side 7
... manner , A − B + C , or A + C — B , signifies that A and C are to be added together , and that B is to be subtracted from their sum . 22. Multiplication is expressed by an oblique cross , by a point , or by simple apposition : thus ...
... manner , A − B + C , or A + C — B , signifies that A and C are to be added together , and that B is to be subtracted from their sum . 22. Multiplication is expressed by an oblique cross , by a point , or by simple apposition : thus ...
Side 20
... 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 . PROP . XV . THEOR . If two straight lines cut one another , the vertical , or ...
... 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 . PROP . XV . THEOR . If two straight lines cut one another , the vertical , or ...
Side 21
... manner , if the side BC be bisected , it may be demonstrated that the angle BCG , that is ( 15. 1. ) , the angle ACD , is greater than the angle ABC . B PROP . XVII . THEOR . E G F Any two angles of a triangle are together less than two ...
... manner , if the side BC be bisected , it may be demonstrated that the angle BCG , that is ( 15. 1. ) , the angle ACD , is greater than the angle ABC . B PROP . XVII . THEOR . E G F Any two angles of a triangle are together less than two ...
Side 22
... manner it may be demonstrated , that the sides AB , BC are greater than CA , and BC , CA greater than AB . B SCHOLIUM . C This may be demonstrated without producing any of the sides : thus , the line BC , for example , is the shortest ...
... manner it may be demonstrated , that the sides AB , BC are greater than CA , and BC , CA greater than AB . B SCHOLIUM . C This may be demonstrated without producing any of the sides : thus , the line BC , for example , is the shortest ...
Side 27
... manner it may be demonstrated that they do not meet towards A , C ; but those straight lines which meet neither way , though produced ever so far , are parallel ( 30. Def . ) A E B G D C to one another . AB therefore is parallel to CD ...
... manner it may be demonstrated that they do not meet towards A , C ; but those straight lines which meet neither way , though produced ever so far , are parallel ( 30. Def . ) A E B G D C to one another . AB therefore is parallel to CD ...
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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 described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore