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 Corr |
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Side 12
70 XXXIII , A rhomboid , is that which has its oppofite fides equal to one another , but all its fides are not equal , por its angles right angles . XXXIV . All other four fided figures befides thefe , XXXIV . .1 } THE ELEMENTS Book 1 .
70 XXXIII , A rhomboid , is that which has its oppofite fides equal to one another , but all its fides are not equal , por its angles right angles . XXXIV . All other four fided figures befides thefe , XXXIV . .1 } THE ELEMENTS Book 1 .
Side 16
... equal to one another ; they fhall likewise have their bases , or third fides , equal ; and the two triangles fhall be equal ; and their other angles fhall be equal , each to each , viz , those to which the equal fides are oppofite .
... equal to one another ; they fhall likewise have their bases , or third fides , equal ; and the two triangles fhall be equal ; and their other angles fhall be equal , each to each , viz , those to which the equal fides are oppofite .
Side 17
+ ¡ T A D ДА CE AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the bafe , BC fhall be equal to the bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite ...
+ ¡ T A D ДА CE AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the bafe , BC fhall be equal to the bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite ...
Side 18
1 qual b to the bafe GB , and the triangle AFC to the triangle AGB ; and the remaining angles of the one are equal b to the remaining angles of the other , each to each , to which the equal fides are oppofite ; viz . the angle ACF to ...
1 qual b to the bafe GB , and the triangle AFC to the triangle AGB ; and the remaining angles of the one are equal b to the remaining angles of the other , each to each , to which the equal fides are oppofite ; viz . the angle ACF to ...
Side 24
I5 F , at a point in a straight line , two other ftraight lines , upon the oppofite fides of it , make the adjacent angles together equal to two right angles , thefe two ftraight lines fhall be in one and the fame ftraight line .
I5 F , at a point in a straight line , two other ftraight lines , upon the oppofite fides of it , make the adjacent angles together equal to two right angles , thefe two ftraight lines fhall be in one and the fame ftraight line .
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The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid fore four fourth fquare fquare of BC ftraight line given angle given in fpecies given in pofition given magnitude given ratio given ſtraight line greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reaſon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole