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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
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Αποτελέσματα 6 - 10 από τα 74.
Σελίδα 34
... given straight lines ; but any two whatever of these lines must be greater than the third ( 20. 1. ) Let A , B , C be the three given straight lines , of which any two ... a straight line DE terminated at the point D 34 ELEMENTS.
... given straight lines ; but any two whatever of these lines must be greater than the third ( 20. 1. ) Let A , B , C be the three given straight lines , of which any two ... a straight line DE terminated at the point D 34 ELEMENTS.
Σελίδα 35
... straight line DE terminated at the point D , but unlimited towards E , and make ( 3. 1. ) DF equal to A , FG to B ... given straight lines , A , B , C. Which was to be done . PROP . XXIII . PROB . At a given point in a given ...
... straight line DE terminated at the point D , but unlimited towards E , and make ( 3. 1. ) DF equal to A , FG to B ... given straight lines , A , B , C. Which was to be done . PROP . XXIII . PROB . At a given point in a given ...
Σελίδα 36
... given point A in the given straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP . XXIV . THEOR . If two triangles have two sides of the one equal to two sides of the other ...
... given point A in the given straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP . XXIV . THEOR . If two triangles have two sides of the one equal to two sides of the other ...
Σελίδα 41
... parallel ( 27.1 . ) to CD . Where- fore straight lines , & c . Q. E. D. A G B E H -I K C D PROP . XXXI . PROB . To draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given ...
... parallel ( 27.1 . ) to CD . Where- fore straight lines , & c . Q. E. D. A G B E H -I K C D PROP . XXXI . PROB . To draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given ...
Σελίδα 45
... straight line , are between the same parallels . Let the equal triangles ABC , DEF be upon equal basis BC , EF , in ... given triangle , and have one of its angles equal to a given rectilineal angle Let ABC be the given triangle ...
... straight line , are between the same parallels . Let the equal triangles ABC , DEF be upon equal basis BC , EF , in ... given triangle , and have one of its angles equal to a given rectilineal angle Let ABC be the given triangle ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder definition demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes MDCCCXX meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore