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 12
Side 31
BC to EF , the two sides GB , BC are equal to the two DE , EF , each to each ; and
the angle GBC is equal to the angle DEF therefore the base GC is equal ( 4. 1. )
to the base DF , and the triangle GBC to the triangle DEF , and the other angles ...
BC to EF , the two sides GB , BC are equal to the two DE , EF , each to each ; and
the angle GBC is equal to the angle DEF therefore the base GC is equal ( 4. 1. )
to the base DF , and the triangle GBC to the triangle DEF , and the other angles ...
Side 159
angle ACF ; but the angle AFC is equal to the outward angle EXD , and the angle
ACF to the alternate angle CAD ... The sides about the equal angles of
equiangular triangles are proportionals ; and those which are opposite to the
equal ...
angle ACF ; but the angle AFC is equal to the outward angle EXD , and the angle
ACF to the alternate angle CAD ... The sides about the equal angles of
equiangular triangles are proportionals ; and those which are opposite to the
equal ...
Side 219
If each of two solid angles be contained by three plane angles equal to one
another , each to each ; the planes in which ... 1 Let there be two solid angles at
the points A , B ; and let the angle at A be contained by the three plane angles
CAD ...
If each of two solid angles be contained by three plane angles equal to one
another , each to each ; the planes in which ... 1 Let there be two solid angles at
the points A , B ; and let the angle at A be contained by the three plane angles
CAD ...
Side 225
same at right angles to the plane BAL ; and make KH equal to GF , and join AH :
then the solid angle at A , which is contained by the three plane angles BAL ,
BAH , HAL , is equal to the solid angle at D contained by the three plane angles ...
same at right angles to the plane BAL ; and make KH equal to GF , and join AH :
then the solid angle at A , which is contained by the three plane angles BAL ,
BAH , HAL , is equal to the solid angle at D contained by the three plane angles ...
Side 242
to the plane HBK , and makes right angles ( 3. def . 11. ) with every straight line
meeting it in that plane . But BH meets it in that plane ; therefore ABH is a right
angle . For the same reason , DEM is a right angle , and is therefore equal to the
...
to the plane HBK , and makes right angles ( 3. def . 11. ) with every straight line
meeting it in that plane . But BH meets it in that plane ; therefore ABH is a right
angle . For the same reason , DEM is a right angle , and is therefore equal to the
...
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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 |