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 Corrected |
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Resultat 1-5 av 6
Side 141
5. ) , as AB is to BE , so is CD to DF . If then magnitudes , & c . Q. E. D. N PROP .
XIX . THEOR . If a whole magnitude be to a whole , as a magnitude taken from
the first , is to a magnitude taken from the other ; the remainder shall be to ...
5. ) , as AB is to BE , so is CD to DF . If then magnitudes , & c . Q. E. D. N PROP .
XIX . THEOR . If a whole magnitude be to a whole , as a magnitude taken from
the first , is to a magnitude taken from the other ; the remainder shall be to ...
Side 183
Let AF be any parallelogram applied to AK , any other part of AB than the hall , so
as to be deficient from the parallelogram upon the whole line AB by the
parallelogram KH similar , and similarly situated to CE . AD is greater than AF .
First , let ...
Let AF be any parallelogram applied to AK , any other part of AB than the hall , so
as to be deficient from the parallelogram upon the whole line AB by the
parallelogram KH similar , and similarly situated to CE . AD is greater than AF .
First , let ...
Side 183
Let AF be any parallelogram applied to AK , any other part of AB than the half , so
as to be deficient from the parallelogram upon the whole line AB by the
parallelogram KH similar , and similarly situated to CE . AD is greater than AF .
First , let ...
Let AF be any parallelogram applied to AK , any other part of AB than the half , so
as to be deficient from the parallelogram upon the whole line AB by the
parallelogram KH similar , and similarly situated to CE . AD is greater than AF .
First , let ...
Side 289
Wherefore the whole solid polyhedron in the greater sphere has to the whole
solid polyhedron in the other , the triplicate ratio of that which AB , the
semidiameter of the first , has to the semidiameter of the other ; that is , which the
diameter BD ...
Wherefore the whole solid polyhedron in the greater sphere has to the whole
solid polyhedron in the other , the triplicate ratio of that which AB , the
semidiameter of the first , has to the semidiameter of the other ; that is , which the
diameter BD ...
Side 372
If the whole have to the whole a given ratio , and the parts have to the parts given
, but not the same , ratios , every one of them , whole or part , shall have to every
one a given ratio . * Let the whole AB have a given ratio to the whole CD , and ...
If the whole have to the whole a given ratio , and the parts have to the parts given
, but not the same , ratios , every one of them , whole or part , shall have to every
one a given ratio . * Let the whole AB have a given ratio to the whole CD , and ...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1825 |
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Euclid,Robert Simson Uten tilgangsbegrensning - 1838 |
Vanlige uttrykk og setninger
added altitude angle ABC angle BAC base centre circle circle ABCD circumference common cone cylinder definition demonstrated described diameter divided double draw drawn equal equal angles equiangular equimultiples Euclid excess fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise magnitude manner meet multiple Note opposite parallel parallelogram pass perpendicular plane prism produced PROP proportionals proposition pyramid Q. E. D. PROP radius reason rectangle rectangle contained rectilineal figure remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC taken THEOR third triangle ABC wherefore whole
Populære avsnitt
Side 9 - Let it be granted that a straight line may be drawn from any one point to any other point.
Side 81 - The angles in the same segment of a circle are equal to one another.
Side 315 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Side 33 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 49 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.
Side 96 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Side 155 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 22 - ANY two angles of a triangle are together less than two right angles.
Side 25 - Let A, B, C be the three given straight lines, of which any two whatever are greater than the third, viz.
Side 24 - Any two sides of a triangle are together greater than the third side.
Bibliografisk informasjon
| Tittel | 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 Corrected |
| Forfattere | Euclid, Robert Simson |
| Utgiver | Desilver, 1829 |
| Original fra | University of Michigan |
| Digitalisert | 11. jun 2007 |
| Lengde | 516 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |