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 Restored : Also the Book of Euclid's Data, in Like Manner CorrectedJ. Nourse, London, 1781 - 520 sider |
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Side 196
... Solid is that which hath length , breadth , and thickness , II . That which bounds a folid is a fuperficies . III . A ftraight line is perpendicular , or at right angles to a plane , when it makes right angles with every straight line ...
... Solid is that which hath length , breadth , and thickness , II . That which bounds a folid is a fuperficies . III . A ftraight line is perpendicular , or at right angles to a plane , when it makes right angles with every straight line ...
Side 222
... angle at A is equal to the solid angle at B. A B Let the folid angle at A be applied to the folid angle at B : and , first , the plane angle CAD being applied to the plane angle FBG , fo as the point A may coincide with the point B ...
... angle at A is equal to the solid angle at B. A B Let the folid angle at A be applied to the folid angle at B : and , first , the plane angle CAD being applied to the plane angle FBG , fo as the point A may coincide with the point B ...
Side 223
... SOLID figures contained by the fame number of e . See N qual and fimilar planes alike fituated , and having none of ... angle at A is contained by the three plane angles BAD , BAE , EAD , which , by the hypothefis , are e- qual to the plane ...
... SOLID figures contained by the fame number of e . See N qual and fimilar planes alike fituated , and having none of ... angle at A is contained by the three plane angles BAD , BAE , EAD , which , by the hypothefis , are e- qual to the plane ...
Side 234
... angle ALB is equal to the angle CLD : Therefore , by the first cafe , the folid AE is e- qual to the folid ... solid CF. But , if the infifting ftraight lines AG , HK , BE , LM ; CN , RS , DF , OP , be not at right angles to the bafes AB ...
... angle ALB is equal to the angle CLD : Therefore , by the first cafe , the folid AE is e- qual to the folid ... solid CF. But , if the infifting ftraight lines AG , HK , BE , LM ; CN , RS , DF , OP , be not at right angles to the bafes AB ...
Side 235
... SOLID parallelepipeds which have the fame altitude , are s∞ N. to one another as their bases . Let AB , CD be folid ... angle FGH be equal to the angle LCG ; and complete the folid parallelepiped GK upon the base FH , one of whofe ...
... SOLID parallelepipeds which have the fame altitude , are s∞ N. to one another as their bases . Let AB , CD be folid ... angle FGH be equal to the angle LCG ; and complete the folid parallelepiped GK upon the base FH , one of whofe ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
Vanlige uttrykk og setninger
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fides BA fimilar fince firft firſt folid angle fome fore fphere fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC oppofite parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals pyramid Q. E. D. PROP rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC vertex wherefore