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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
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Σελίδα ix
... fourth proposition is from LE- GENDRE'S Elements of Geometry ; that of the sixth is new , as far as I know ; as is also the solution of the problem in the nineteenth proposition , —a problem which , though in itself extremely simple ...
... fourth proposition is from LE- GENDRE'S Elements of Geometry ; that of the sixth is new , as far as I know ; as is also the solution of the problem in the nineteenth proposition , —a problem which , though in itself extremely simple ...
Σελίδα 108
... fourth , equal to it , or less ; then the first of the magnitudes is said to have to the second the same ratio that the third has to the fourth . VI . Magnitudes are said to be proportionals , when the first has the same ratio to the ...
... fourth , equal to it , or less ; then the first of the magnitudes is said to have to the second the same ratio that the third has to the fourth . VI . Magnitudes are said to be proportionals , when the first has the same ratio to the ...
Σελίδα 109
... fourth ; and , on the contrary , the third is said to have to the fourth a less ratio than the first has to the second . VIII . When there is any number of magnitudes greater than two , of which the first has to the second the same ...
... fourth ; and , on the contrary , the third is said to have to the fourth a less ratio than the first has to the second . VIII . When there is any number of magnitudes greater than two , of which the first has to the second the same ...
Σελίδα 110
... fourth ; or that the first is to the third as the second to the fourth : See Prop . 16. of this Book .. XV . Invertendo , by inversion : When there are four proportionals , and it is inferred , that the second is to the first , as the ...
... fourth ; or that the first is to the third as the second to the fourth : See Prop . 16. of this Book .. XV . Invertendo , by inversion : When there are four proportionals , and it is inferred , that the second is to the first , as the ...
Σελίδα 111
... fourth of the first rank , so is the third from the last , to the last but two , of the second rank ; and so on in a cross , or inverse , order ; and the inference is as in the 19th definition . It is demonstrated in the 23d Prop . of ...
... fourth of the first rank , so is the third from the last , to the last but two , of the second rank ; and so on in a cross , or inverse , order ; and the inference is as in the 19th definition . It is demonstrated in the 23d Prop . of ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore
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 |