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 8
Side 105
... in the same manner , it may be shewn that HK is double of BK . and because
BK is equal to KC , as was demonstrated ... in like manner it may be thewn that
GH , GM , ML are each of them equal to HK ör KL . therefore the pentagon
GHKLM ...
... in the same manner , it may be shewn that HK is double of BK . and because
BK is equal to KC , as was demonstrated ... in like manner it may be thewn that
GH , GM , ML are each of them equal to HK ör KL . therefore the pentagon
GHKLM ...
Side 215
... LKO , OKN which contain the solid angle at K , each to each ; therefore the
solid angle at A is equal a to the folid angle a . Bo 11 . at K. in the same manner ,
the other solid angles of the figures are equal to one another . If then the solid
figure ...
... LKO , OKN which contain the solid angle at K , each to each ; therefore the
solid angle at A is equal a to the folid angle a . Bo 11 . at K. in the same manner ,
the other solid angles of the figures are equal to one another . If then the solid
figure ...
Side 216
... AG is equal and fimilar to KQ . and in the same manner , any other solid figures
whatever contained by the same number of equal and fimilar planes , alike
situated , and having none of their solid angles contained by more than three
plane ...
... AG is equal and fimilar to KQ . and in the same manner , any other solid figures
whatever contained by the same number of equal and fimilar planes , alike
situated , and having none of their solid angles contained by more than three
plane ...
Side 269
... the pyramid EMSN the triplicate ratio of that which AK has to EM . In the same
manner , if straight lines be drawn from the points D , V , C , Y , B , T to K , and
from the points H , R , G , P , F , O to M , and pyramids be erected upon the
triangles ...
... the pyramid EMSN the triplicate ratio of that which AK has to EM . In the same
manner , if straight lines be drawn from the points D , V , C , Y , B , T to K , and
from the points H , R , G , P , F , O to M , and pyramids be erected upon the
triangles ...
Side 285
In the same manner it may be demonstrated that the sphere DEF has not to any
sphere less than ABC , the triplicate ratio of that which EF has to BC . Nor can the
sphere ABC have to any sphere greater than DEF , the triplicate ratio of that ...
In the same manner it may be demonstrated that the sphere DEF has not to any
sphere less than ABC , the triplicate ratio of that which EF has to BC . Nor can the
sphere ABC have to any sphere greater than DEF , the triplicate ratio of that ...
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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 |