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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Αποτελέσματα 6 - 10 από τα 38.
Σελίδα 114
... be proportionals , they are proportionals also wher taken inversely . M . 5 9 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 ...
... be proportionals , they are proportionals also wher taken inversely . M . 5 9 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 ...
Σελίδα 117
If any number of magnitudes be proportionals , as one of the antecedents is to its consequent , so are all the antecedents , taken together , to all the consequents . : 90 31 ed > : If A : B :: C : D , and C : D :: E : T , then also ...
If any number of magnitudes be proportionals , as one of the antecedents is to its consequent , so are all the antecedents , taken together , to all the consequents . : 90 31 ed > : If A : B :: C : D , and C : D :: E : T , then also ...
Σελίδα 118
If four magnitudes of the same kind be proportionals , they will also be proportionals when taken alternately . If A : B :: C : D , then alternately , A : C :: B : D. Take mA , mB any equimultiples of A and B , and nC , nD any ...
If four magnitudes of the same kind be proportionals , they will also be proportionals when taken alternately . If A : B :: C : D , then alternately , A : C :: B : D. Take mA , mB any equimultiples of A and B , and nC , nD any ...
Σελίδα 119
If magnitudes , taken separately , be proportionals , they will also be proportionals when taken jointly , that is , if the first be to the second as the third to the fourth , the first and second together will be to the second as the ...
If magnitudes , taken separately , be proportionals , they will also be proportionals when taken jointly , that is , if the first be to the second as the third to the fourth , the first and second together will be to the second as the ...
Σελίδα 120
If four magnitudes be proportionals , they are also proportionals by con . version , that is , the first is to its excess above the second , as the third to its excess above the fourth . If A : B :: C : D , by conversion , A : A - B ...
If four magnitudes be proportionals , they are also proportionals by con . version , that is , the first is to its excess above the second , as the third to its excess above the fourth . If A : B :: C : D , by conversion , A : A - B ...
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ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole
Πληροφορίες βιβλιογραφίας
| Τίτλος | 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 |
| Συγγραφέας | John Playfair |
| Εκδότης | E. Duyckinck, and George Long, 1824 |
| Πρωτότυπο από | Πανεπιστήμιο της Ιντιάνα |
| Ψηφιοποιήθηκε στις | 15 Ιαν. 2009 |
| Μέγεθος | 333 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |