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 65.
Σελίδα 116
A + B has to C a greater ratio than A has to C ; and C has a greater C ratio to A than it has to A + B . Let m be such a number that mĄ and mB are each of them greater than C ; and let nC be the least multiple of C that exceeds ma + mB ...
A + B has to C a greater ratio than A has to C ; and C has a greater C ratio to A than it has to A + B . Let m be such a number that mĄ and mB are each of them greater than C ; and let nC be the least multiple of C that exceeds ma + mB ...
Σελίδα 117
T Ratios that are equal to the same ratio are equal to one another . : : If A : B :: C : D ; and also C : D :: E : F ; theu A : B :: E : F. Take mA , mC me , any equimultiples of A , C , and E ; and nB , nD , ; nF any equimultiples of B ...
T Ratios that are equal to the same ratio are equal to one another . : : If A : B :: C : D ; and also C : D :: E : F ; theu A : B :: E : F. Take mA , mC me , any equimultiples of A , C , and E ; and nB , nD , ; nF any equimultiples of B ...
Σελίδα 118
1 : If the first have to the second the same ratio which the third has to the fourth , and if the first be greater than the third , the second shall be greater than the fourth ; if equal , equal ; and if less , less .
1 : If the first have to the second the same ratio which the third has to the fourth , and if the first be greater than the third , the second shall be greater than the fourth ; if equal , equal ; and if less , less .
Σελίδα 120
if there be three magnitudes , and other three , which taken two and two , have the same ratio ; if the first be greater than the third , the fourth is greater than the sixth ; if equal , equal ; and if less , less .
if there be three magnitudes , and other three , which taken two and two , have the same ratio ; if the first be greater than the third , the fourth is greater than the sixth ; if equal , equal ; and if less , less .
Σελίδα 121
If there be any number of magnitudes , and as many others , which , taken two and two in order , have the same ratio ; the first will have to the last of the first magnitudes , the same ratio which the first of the others has to the ...
If there be any number of magnitudes , and as many others , which , taken two and two in order , have the same ratio ; the first will have to the last of the first magnitudes , the same ratio which the first of the others has to the ...
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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 |