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 x
... base , a solid may be constituted , or conceived to exist , equal in solid contents to any given solid , ( be- cause a solid , whatever be its base , as X PREFACE .
... base , a solid may be constituted , or conceived to exist , equal in solid contents to any given solid , ( be- cause a solid , whatever be its base , as X PREFACE .
Σελίδα xi
... base , as its height may be indefinately varied , is capable of all degrees of magnitude , from nothing upwards ) , and yet it may in many cases be a problem of extreme difficulty to as- sign the height of such a solid , and actually to ...
... base , as its height may be indefinately varied , is capable of all degrees of magnitude , from nothing upwards ) , and yet it may in many cases be a problem of extreme difficulty to as- sign the height of such a solid , and actually to ...
Σελίδα 23
... bases , or third sides , shall be equal ; and the areas of the triangles shall be equal ; and their other angles ... base EF ; and , the triangle ABC to the tri- angle DEF ; and the D other angles , to which B E F the equal sides are ...
... bases , or third sides , shall be equal ; and the areas of the triangles shall be equal ; and their other angles ... base EF ; and , the triangle ABC to the tri- angle DEF ; and the D other angles , to which B E F the equal sides are ...
Σελίδα 24
... base BC shall coincide with the base EF ( cor . def 3 , ) , and shall be equal to it . Therefore also the whole triangle ABC shall coincide with the whole triangle DEF , so that the spaces which they contain or their areas are equal and ...
... base BC shall coincide with the base EF ( cor . def 3 , ) , and shall be equal to it . Therefore also the whole triangle ABC shall coincide with the whole triangle DEF , so that the spaces which they contain or their areas are equal and ...
Σελίδα 25
... base . Therefore , the angles at the base , & c . Q. E. D. COROLLARY . Hence every equilateral triangle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which sub- tend , or are ...
... base . Therefore , the angles at the base , & c . Q. E. D. COROLLARY . Hence every equilateral triangle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which sub- tend , or are ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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 |