The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The first six books, together with the eleventh and twelfth |
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Resultat 1-5 av 6
Side 25
equal t ) DE , and BC to EF , the two sides GB , BC are equal to Book I. the two
DE , EF , each to each ; and the angle ... I. the triangle GBC to the triangle DEF ,
and the other angles to the othe angles , each to each , to which the equal fides
are ...
equal t ) DE , and BC to EF , the two sides GB , BC are equal to Book I. the two
DE , EF , each to each ; and the angle ... I. the triangle GBC to the triangle DEF ,
and the other angles to the othe angles , each to each , to which the equal fides
are ...
Side 154
IF ( F the fides of two triangles , about each of their angles , be proportionals , the
triangles shall be equiangular , and have their equal angles opposite to the
homologous fides . a . 23. I. Let the triangles ABC , DEF have their fides
proportionals ...
IF ( F the fides of two triangles , about each of their angles , be proportionals , the
triangles shall be equiangular , and have their equal angles opposite to the
homologous fides . a . 23. I. Let the triangles ABC , DEF have their fides
proportionals ...
Side 213
I F each of two solid angles be contained by three See N. plane angles equal to
one another , each to each ; the ... 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 , CAE , EAD
...
I F each of two solid angles be contained by three See N. plane angles equal to
one another , each to each ; the ... 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 , CAE , EAD
...
Side 219
II . to DG , and from the point K erect « KH at right angles to the Book XI . 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 ...
II . to DG , and from the point K erect « KH at right angles to the Book XI . 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 ...
Side 236
Def.11 . angles d 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 angle ABH . and the angle HAB is equal to ...
Def.11 . angles d 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 angle ABH . and the angle HAB is equal to ...
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Vanlige uttrykk og setninger
added alſo altitude angle ABC angle BAC baſe becauſe Book Book XI caſe circle circle ABCD circumference common cone cylinder Definition demonſtrated deſcribed diameter divided double draw drawn equal equal angles equiangular equimultiples exceſs fame fides firſt folid 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 muſt oppoſite parallel parallelogram perpendicular plane priſm produced PROP proportionals Propoſition pyramid radius reaſon rectangle rectangle contained remaining right angles ſame ſecond ſegment ſhall ſhewn ſides ſimilar ſolid ſphere ſquare ſquare of AC taken THEOR theſe third thro triangle ABC wherefore whole
Populære avsnitt
Side 157 - D ; wherefore the remaining angle at C is equal to the remaining angle at F ; Therefore the triangle ABC is equiangular to the triangle DEF. Next, let each of the angles at C, F be not less than a right angle ; the triangle ABC is also, in this case, equiangular to the triangle DEF.
Side 24 - ... be equal, each to each ; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, ECA equal to the angles DEF, EFD, viz.
Side 45 - 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 73 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of...
Side 163 - 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 81 - ELF. Join BC, EF ; and because the circles ABC, DEF are equal, the straight lines drawn from their centres are equal: therefore the two sides BG, GC, are equal to the two EH, HF ; and the angle at G is equal to the angle at H ; therefore the base BC is equal (4.
Side 323 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Side 80 - EA : and because AD is equal to DC, and DE common to the triangles ADE, CDE, the two sides AD, DE are equal to the two CD, DE, each to each ; and the angle ADE is equal to the angle CDE, for each of them is a right angle ; therefore the base AE is equal (4.
Side 36 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Bibliografisk informasjon
| Tittel | The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The first six books, together with the eleventh and twelfth The Elements of Euclid: Also the Book of Euclid's Data ...cor. Viz. The First Six Books, Together with the Eleventh and Twelfth, Robert Simson |
| Forfatter | Robert Simson |
| Utgiver | F. Wingrave, 1804 |
| Original fra | University of Michigan |
| Digitalisert | 11. jun 2007 |
| Eksporter sitat | BiBTeX EndNote RefMan |