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 |
Inni boken
Resultat 1-5 av 89
Side 39
... parallelogram is a four fided figure , of which the oppofite fides are parallel ; and the diameter is the Straight line joining two of its oppofite angles . Let ACDB be a parallelogram , of which BC is a diameter ; the oppofite fides ...
... parallelogram is a four fided figure , of which the oppofite fides are parallel ; and the diameter is the Straight line joining two of its oppofite angles . Let ACDB be a parallelogram , of which BC is a diameter ; the oppofite fides ...
Side 40
... parallelogram ACDB into two equal parts . Q. E. D. C 4. I. See N. See the 2d P PROP . XXXV . THEOR . ARALLELOGRAMS upon the fame base and between the fame parallels , are equal to one another . Let the parallelograms ABCD , EBCF be upon ...
... parallelogram ACDB into two equal parts . Q. E. D. C 4. I. See N. See the 2d P PROP . XXXV . THEOR . ARALLELOGRAMS upon the fame base and between the fame parallels , are equal to one another . Let the parallelograms ABCD , EBCF be upon ...
Side 41
... parallelogram EFGH is equal to the fame EBCH : Therefore alfo the parallelogram ABCD is equal to EFGH . Wherefore parallelograms , & c . Q. E. D. TR PROP . XXXVII . THEOR . RIANGLES upon the fame base , and between the fame parallels ...
... parallelogram EFGH is equal to the fame EBCH : Therefore alfo the parallelogram ABCD is equal to EFGH . Wherefore parallelograms , & c . Q. E. D. TR PROP . XXXVII . THEOR . RIANGLES upon the fame base , and between the fame parallels ...
Side 42
... parallelogram GBCA , because the diameter AB bifects it ; and the triangle DEF is the half of the parallelogram DEFH , becaufe the di ameter DF bifects it : But the halves of equal things are equal ; therefore the triangle ABC is equal ...
... parallelogram GBCA , because the diameter AB bifects it ; and the triangle DEF is the half of the parallelogram DEFH , becaufe the di ameter DF bifects it : But the halves of equal things are equal ; therefore the triangle ABC is equal ...
Side 43
... parallelogram and triangle be upon the fame base , and between the fame parallels ; the parallelogram fhall be double of the triangle . Let 43 Book I. a 37. I. b34 . I. Let the OF EUCLID .
... parallelogram and triangle be upon the fame base , and between the fame parallels ; the parallelogram fhall be double of the triangle . Let 43 Book I. a 37. I. b34 . I. Let the OF EUCLID .
Andre utgaver - Vis alle
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