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 |
Inni boken
Resultat 1-5 av 71
Side 11
A diameter of a circle is a straight line drawn through the cen tre , 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 .
A diameter of a circle is a straight line drawn through the cen tre , 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
THE HE oppofite fides and angles of parallelograms are equal to one another , and the diameter bifects them , that is , divides them into two equal parts , N. B. A parallelogram is a four - fided figure , of which the oppofite fides are ...
THE HE oppofite fides and angles of parallelograms are equal to one another , and the diameter bifects them , that is , divides them into two equal parts , N. B. A parallelogram is a four - fided figure , of which the oppofite fides are ...
Side 40
I. equal to the angle BCD ; therefore the triangle ABC is equal to the triangle BCD , and the diameter BC divides the parallelogram ACDB into two equal parts . Q. E. D. PROP . XXXV . THEOR . í 3. Ax . " PA ARALELLOGRAMS upon the fame ...
I. equal to the angle BCD ; therefore the triangle ABC is equal to the triangle BCD , and the diameter BC divides the parallelogram ACDB into two equal parts . Q. E. D. PROP . XXXV . THEOR . í 3. Ax . " PA ARALELLOGRAMS upon the fame ...
Side 42
I gram EBCA , because the diameter AB befects cit ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bifects it : But the halves of equal things are equal d ; therefore the triangle ABC is equal to ...
I gram EBCA , because the diameter AB befects cit ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bifects it : But the halves of equal things are equal d ; therefore the triangle ABC is equal to ...
Side 45
HE complements of the parallelograms which are about the diameter of any parallelogram , are equal to one another . THE K A H D B G C Let ABCD be a parallelogram , of which the diameter is AC , and EH , FG the parallelograms about AC ...
HE complements of the parallelograms which are about the diameter of any parallelogram , are equal to one another . THE K A H D B G C Let ABCD be a parallelogram , of which the diameter is AC , and EH , FG the parallelograms about AC ...
Hva folk mener - Skriv en omtale
Vi har ikke funnet noen omtaler på noen av de vanlige stedene.
Andre utgaver - Vis alle
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