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 11 - 15 από τα 29.
Σελίδα 55
... interior and opposite angle ADB ; but ADB is e- qual ( 5. 1 ) to the angle ABD , because BA is equal to AD , being sides of a square ; wherefore the angle CGB is equal to the angle GBC ; and therefore the side BC is equal ( 6. 1. ) to ...
... interior and opposite angle ADB ; but ADB is e- qual ( 5. 1 ) to the angle ABD , because BA is equal to AD , being sides of a square ; wherefore the angle CGB is equal to the angle GBC ; and therefore the side BC is equal ( 6. 1. ) to ...
Σελίδα 59
... interior and opposite angle ECB , theremaining angle EFG is half a right angle ; therefore the angle GEF is equal to the angle EFG , and the side EG equal ( 6.1 . ) to the side GF : Again , because the angle at B is half a right angle ...
... interior and opposite angle ECB , theremaining angle EFG is half a right angle ; therefore the angle GEF is equal to the angle EFG , and the side EG equal ( 6.1 . ) to the side GF : Again , because the angle at B is half a right angle ...
Σελίδα 60
... interior angles , upon the same side , less than two right angles , do meet , ( Cor . 29. 1. ) if produced far enough : Therefore EB , FD will meet , if produced towards , B , D ; let them meet in G , and join AG : Then , because AC is ...
... interior angles , upon the same side , less than two right angles , do meet , ( Cor . 29. 1. ) if produced far enough : Therefore EB , FD will meet , if produced towards , B , D ; let them meet in G , and join AG : Then , because AC is ...
Σελίδα 82
... interior , which is impossible ( 16. 1. ) . Therefore , there cannot be two similar segments of circles upon the same side of the same line , which do not coincide . Q. E. D. PROP . XXIV . THEOR . Similar segments of circles upon equal ...
... interior , which is impossible ( 16. 1. ) . Therefore , there cannot be two similar segments of circles upon the same side of the same line , which do not coincide . Q. E. D. PROP . XXIV . THEOR . Similar segments of circles upon equal ...
Σελίδα 127
... interior and opposite angle AEC : But the angle ACE has been proved equal to the angle BAD ; therefore also ACE is equal to the angle AEC , and conse- quently the side AE is equal to the side ( 6. 1. ) AC . And because AD is drawn ...
... interior and opposite angle AEC : But the angle ACE has been proved equal to the angle BAD ; therefore also ACE is equal to the angle AEC , and conse- quently the side AE is equal to the side ( 6. 1. ) AC . And because AD is drawn ...
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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 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 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