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 6-10 av 42
Side 103
Ex æquali ( sc . distantia ) , or ex æquo , from equality of distance ; when there is
any number of magnitudes more than two , and as many others , so that they are
proportionals when taken two and iwo of each rank , and it is inferred , that the ...
Ex æquali ( sc . distantia ) , or ex æquo , from equality of distance ; when there is
any number of magnitudes more than two , and as many others , so that they are
proportionals when taken two and iwo of each rank , and it is inferred , that the ...
Side 104
If to a multiple of a magnitude by any number , a multiple of the same magnitude
by any number be ... the sum will be the same multiple of that magnitude that the
sum of the two numbers is of unity . ... If the first of three magnitudes contain ...
If to a multiple of a magnitude by any number , a multiple of the same magnitude
by any number be ... the sum will be the same multiple of that magnitude that the
sum of the two numbers is of unity . ... If the first of three magnitudes contain ...
Side 105
If the first of four magnitudes has the same ratio to the second which the third has
to the fourth , and if any equimultiples whatever be taken of the first and third ,
and any whatever of the second and fourth ; the multiple of the first · shall have
the ...
If the first of four magnitudes has the same ratio to the second which the third has
to the fourth , and if any equimultiples whatever be taken of the first and third ,
and any whatever of the second and fourth ; the multiple of the first · shall have
the ...
Side 106
If four magnitudes be proportionals , they are proportionals also when taken
inversely . If A : B :: C : D , then also B : A :: D : C . Let mA and mC be any
equimultiples of A and C ; nB and nD any equimultiples of B and D. Then ,
because A : B :: C ...
If four magnitudes be proportionals , they are proportionals also when taken
inversely . If A : B :: C : D , then also B : A :: D : C . Let mA and mC be any
equimultiples of A and C ; nB and nD any equimultiples of B and D. Then ,
because A : B :: C ...
Side 107
... and therefore C is the same part of D that A is of B. PROP . VII . THEOR . Equal
magnitudes have the same ratio to the same magnitude ; and the same has the
same ratio to equal magnitudes . Let A and B be equal magnitudes , and C any ...
... and therefore C is the same part of D that A is of B. PROP . VII . THEOR . Equal
magnitudes have the same ratio to the same magnitude ; and the same has the
same ratio to equal magnitudes . Let A and B be equal magnitudes , and C any ...
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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |
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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 |