The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner CorrectedT. Desilver and R. Desilver, 1825 - 516 páginas |
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Página 15
... angle BAC equal to the angle EDF , the base BC shall be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each , viz . the R angle ABC to ...
... angle BAC equal to the angle EDF , the base BC shall be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each , viz . the R angle ABC to ...
Página 16
... equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two triangles AFC , AGB ; therefore the base FC is equal ( 4. 1. ) to the base GB , and the triangle AFC to the triangle AGB ; and the remaining angles ...
... equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two triangles AFC , AGB ; therefore the base FC is equal ( 4. 1. ) to the base GB , and the triangle AFC to the triangle AGB ; and the remaining angles ...
Página 19
... equal to EF ; therefore BC coin- ciding with EF , BA and AC shall coincide with ED and DF ; for , if the base BC ... angles . it . Let BAC be the given rectilineal angle , it is required to bisect A Take any point D in AB , and from AC cut ( ...
... equal to EF ; therefore BC coin- ciding with EF , BA and AC shall coincide with ED and DF ; for , if the base BC ... angles . it . Let BAC be the given rectilineal angle , it is required to bisect A Take any point D in AB , and from AC cut ( ...
Página 20
... equal parts in the point D. Which was to be done . C A D B PROP . XI . PROB . To draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be a given straight line , and C a point given in ...
... equal parts in the point D. Which was to be done . C A D B PROP . XI . PROB . To draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be a given straight line , and C a point given in ...
Página 21
... angles FHC , GHC , the two sides FH , HC are equal to the two GH , HC , each to each ; and the base CF is equal ( 15. Def . 1. ) to the base CG ; therefore the angle CHF is ... angle CBA be equal to ABD BOOK I. 21 THE ELEMENTS OF EUCLID .
... angles FHC , GHC , the two sides FH , HC are equal to the two GH , HC , each to each ; and the base CF is equal ( 15. Def . 1. ) to the base CG ; therefore the angle CHF is ... angle CBA be equal to ABD BOOK I. 21 THE ELEMENTS OF EUCLID .
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Sin vista previa disponible - 2018 |
Términos y frases comunes
altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore