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 O F Euclid's Data in Like Manner CorrectedF. Wingrave, 1809 - 531 sider |
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Resultat 1-5 av 88
Side 31
... parallelogram is a four - sided figure , of which the opposite sides are parallel ; and the diame- ter is the straight line joining two of its opposite angles . Let ACDB be a parallelogram , of which BC is a diameter ; the opposite ...
... parallelogram is a four - sided figure , of which the opposite sides are parallel ; and the diame- ter is the straight line joining two of its opposite angles . Let ACDB be a parallelogram , of which BC is a diameter ; the opposite ...
Side 32
... parallelogram ACDB into two equal parts . Q. E. D. 4. 1 . See N. See the 2d gures . PROP . XXXV . THEOR . PARALLELOGRAMS upon the same base , and be- tween the same parallels , are equal to one another . F Let the parallelograms ABCD ...
... parallelogram ACDB into two equal parts . Q. E. D. 4. 1 . See N. See the 2d gures . PROP . XXXV . THEOR . PARALLELOGRAMS upon the same base , and be- tween the same parallels , are equal to one another . F Let the parallelograms ABCD ...
Side 33
... parallelogram EFGH is equal to the same EBCH : There- fore also the parallelogram ABCD is equal to EFGH.- Wherefore parallelograms , & c . Q. E. D. 85. 1 . PROP . XXXVII . THEOR . TRIANGLES upon the same base , and between the same ...
... parallelogram EFGH is equal to the same EBCH : There- fore also the parallelogram ABCD is equal to EFGH.- Wherefore parallelograms , & c . Q. E. D. 85. 1 . PROP . XXXVII . THEOR . TRIANGLES upon the same base , and between the same ...
Side 34
... parallelogram GBCA , because the diameter AB bisects it ; and the triangle DEF is the half of the parallelogram DEFH , because the diameter DF bisects it : But the halves of equal a7 Ax . things are equal ; therefore the triangle ABC is ...
... parallelogram GBCA , because the diameter AB bisects it ; and the triangle DEF is the half of the parallelogram DEFH , because the diameter DF bisects it : But the halves of equal a7 Ax . things are equal ; therefore the triangle ABC is ...
Side 35
... parallelogram and triangle be upon the same base , and between the same parallels ; the parallelogram shall be double of the triangle . BOOK I. Let the parallelogram ABCD and the triangle EBC D 2 OF EUCLID . 35.
... parallelogram and triangle be upon the same base , and between the same parallels ; the parallelogram shall be double of the triangle . BOOK I. Let the parallelogram ABCD and the triangle EBC D 2 OF EUCLID . 35.
Andre utgaver - Vis alle
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Ingen forhåndsvisning tilgjengelig - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABC circumference common logarithm cone cylinder demonstrated described diameter 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 logarithm multiple opposite parallel parallelogram perpendicular point F polygon prism proportionals proposition pyramid 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 tiple triangle ABC triplicate ratio vertex