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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Σελίδα 31
... straight line AE makes with the straight line CD , are together equal ( 13 , 1. ) to two right angles ; and the ... AC in E , join BE and produce it to F , and make EF equal to BE ; join al- so FC , and produce AC to G. A E 4 ...
... straight line AE makes with the straight line CD , are together equal ( 13 , 1. ) to two right angles ; and the ... AC in E , join BE and produce it to F , and make EF equal to BE ; join al- so FC , and produce AC to G. A E 4 ...
Σελίδα 34
... AC of the triangle , but contain an angle BDC greater than the angle BAC ... AC are greater than BE , EC : Again , because the two sides CE , ED , of the triangle CED are ... a straight line DE terminated at the point D 34 ELEMENTS.
... AC of the triangle , but contain an angle BDC greater than the angle BAC ... AC are greater than BE , EC : Again , because the two sides CE , ED , of the triangle CED are ... a straight line DE terminated at the point D 34 ELEMENTS.
Σελίδα 36
... straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP ... AC equal to the two DE , DF each to each viz . AB equal to DE , and AC to DF ; but the angle BAC greater than the ...
... straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP ... AC equal to the two DE , DF each to each viz . AB equal to DE , and AC to DF ; but the angle BAC greater than the ...
Σελίδα 38
... AC is equal ( 4. 1. ) to the base DF , and the angle BAC to the angle EDF . Next , let the sides A D which are ... straight line falling upon two other straight lines makes the alternate angles equal to one another , these two ...
... AC is equal ( 4. 1. ) to the base DF , and the angle BAC to the angle EDF . Next , let the sides A D which are ... straight line falling upon two other straight lines makes the alternate angles equal to one another , these two ...
Σελίδα 41
... A- gain , because the straight line GK cuts the parallel straight lines EF , CD , the angle GHF is equal ( 29. 1 ... AC meets them , the alternate an- gles BAC , ACE are equal ( 29 . 1. ) Again , because AB is в E C D F parallel to ...
... A- gain , because the straight line GK cuts the parallel straight lines EF , CD , the angle GHF is equal ( 29. 1 ... AC meets them , the alternate an- gles BAC , ACE are equal ( 29 . 1. ) Again , because AB is в E C D F parallel to ...
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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