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 11
... diameter of a circle is a ftraight line drawn through the see N. centre , and terminated both ways by the circumference . XVIII . A femicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter ...
... diameter of a circle is a ftraight line drawn through the see N. centre , and terminated both ways by the circumference . XVIII . A femicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter ...
Side 39
... 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 and angles of the figure are equal to one an other ; and the diameter BC bifects it ...
... 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 and angles of the figure are equal to one an other ; and the diameter BC bifects it ...
Side 40
... diameter BC divides the 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 ...
... diameter BC divides the 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 ...
Side 42
... diameter AB bifects e it ; and the triangle DBC is the half of the parallelo- gram DBCF , because the diameter DC bifects it : But the halves of equal things are equal d ; therefore the triangle ABC is equal to the triangle DBC ...
... diameter AB bifects e it ; and the triangle DBC is the half of the parallelo- gram DBCF , because the diameter DC bifects it : But the halves of equal things are equal d ; therefore the triangle ABC is equal to the triangle DBC ...
Side 45
... diameter is AC , and EH , FG the paral- lelograms about AC , that is , through which AC paffes , and BK , KD the ... diameter , the triangle ABC is equal to a 34. I. the triangle ADC : And , because EKHA is a parallelogram , the diameter ...
... diameter is AC , and EH , FG the paral- lelograms about AC , that is , through which AC paffes , and BK , KD the ... diameter , the triangle ABC is equal to a 34. I. the triangle ADC : And , because EKHA is a parallelogram , the diameter ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
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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