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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Αποτελέσματα 1 - 5 από τα 24.
Σελίδα 21
... doubles of the same thing , are equal to one another VII . Things which are halves of the same thing , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space , are ...
... doubles of the same thing , are equal to one another VII . Things which are halves of the same thing , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space , are ...
Σελίδα 44
... double ( 34 . 1. ) of the triangle BDC ; and they are therefore equal to one another . Ꭺ D F B C But , if the sides AD , EF , opposite to the base BC of the parallelo- grams ABCD , EBCF , be not terminated in the same point ; then ...
... double ( 34 . 1. ) of the triangle BDC ; and they are therefore equal to one another . Ꭺ D F B C But , if the sides AD , EF , opposite to the base BC of the parallelo- grams ABCD , EBCF , be not terminated in the same point ; then ...
Σελίδα 47
... double of the triangle . Let the paralellogram ABCD and the triangle EBC be upon the same base BC and between the same pa- rallels BC , AE ; the parallelogram ABCD A is double of the triangle EBC . Join AC ; then the triangle ABC is ...
... double of the triangle . Let the paralellogram ABCD and the triangle EBC be upon the same base BC and between the same pa- rallels BC , AE ; the parallelogram ABCD A is double of the triangle EBC . Join AC ; then the triangle ABC is ...
Σελίδα 48
... double of the triangle AEC . And the parallelogram FECG is likewise double ( 41. 1 ) of the F B E G triangle AEC , because it is upon the same base , and between the same parallels : Therefore the parallelogram FECG is equal to the ...
... double of the triangle AEC . And the parallelogram FECG is likewise double ( 41. 1 ) of the F B E G triangle AEC , because it is upon the same base , and between the same parallels : Therefore the parallelogram FECG is equal to the ...
Σελίδα 52
... double of the triangle BFC , because these also are upon the same base FB , and between the same parallels FB , GC . Now the doubles of equals are equal ( 6. Ax . ) to one another ; therefore the parallelogram BL is equal to the square ...
... double of the triangle BFC , because these also are upon the same base FB , and between the same parallels FB , GC . Now the doubles of equals are equal ( 6. Ax . ) to one another ; therefore the parallelogram BL is equal to the square ...
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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 |