Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry |
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Resultat 11-15 av 47
Side 39
parallel to EF ; therefore FECG is a parallelogram : And because BE is F G equal
to EC , the triangle ABE is likewise equal ( 32. 1. ) to the triangle AEC , since they
are upon equal bases BE , EC , and between the same parallels BC , AG ...
parallel to EF ; therefore FECG is a parallelogram : And because BE is F G equal
to EC , the triangle ABE is likewise equal ( 32. 1. ) to the triangle AEC , since they
are upon equal bases BE , EC , and between the same parallels BC , AG ...
Side 40
to the angle ABM , and likewise to the angle D ; the angle ABM is equal to the
angle D : Therefore the parallelogram LB , which is applied to the straight line AB
, is equal to the triangle C , and has the angle ABM equal to the angle D. Cor .
to the angle ABM , and likewise to the angle D ; the angle ABM is equal to the
angle D : Therefore the parallelogram LB , which is applied to the straight line AB
, is equal to the triangle C , and has the angle ABM equal to the angle D. Cor .
Side 41
to ML ; but KM , FL are parallels : wherefore KFLM is a parallelogram . And
because the triangle ABD is equal to the parallelogram HF , and the triangle DBC
to the parallelogram GM , the whole rectilineal figure ABCD is equal to the whole
...
to ML ; but KM , FL are parallels : wherefore KFLM is a parallelogram . And
because the triangle ABD is equal to the parallelogram HF , and the triangle DBC
to the parallelogram GM , the whole rectilineal figure ABCD is equal to the whole
...
Side 42
to AB , and through B draw BE parallel to AD ; therefore ADEB is a parallelogram
; whence AB is equal ( 28. 1. ) to DE , and AD to BE ; but BA C is equal to AD :
therefore the four straight lines BA , AD , DE , EB are equal to one another , and
the ...
to AB , and through B draw BE parallel to AD ; therefore ADEB is a parallelogram
; whence AB is equal ( 28. 1. ) to DE , and AD to BE ; but BA C is equal to AD :
therefore the four straight lines BA , AD , DE , EB are equal to one another , and
the ...
Side 44
Every right angled parallelogram , or rectangle , is said to be contained by any
two of the straight lines which are about one of the right angles . “ Thus the right
angled parallelogram AC is called the rectangle contain“ ed by AD and DC , or by
...
Every right angled parallelogram , or rectangle , is said to be contained by any
two of the straight lines which are about one of the right angles . “ Thus the right
angled parallelogram AC is called the rectangle contain“ ed by AD and DC , or by
...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1819 |
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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid spherical square straight line taken tangent THEOR third touch triangle ABC wherefore whole
Bibliografisk informasjon
| Tittel | Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry |
| Forfatter | John Playfair |
| Utgave | 6 |
| Utgiver | W. E. Dean, 1836 |
| Lengde | 311 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |