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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Página 45
Let the paralellogram ABCD and the triangle EBC be upon the same base BC and between the same parallels BC , AE ; the parallelogram ABCD A DE is double of the triangle EBC . Join AC ; then the triangle ABC is equal ( 37. 1. ) ...
Let the paralellogram ABCD and the triangle EBC be upon the same base BC and between the same parallels BC , AE ; the parallelogram ABCD A DE is double of the triangle EBC . Join AC ; then the triangle ABC is equal ( 37. 1. ) ...
Página 47
Let the paralellogram ABCD and the triangle EBC be upon the same base BC and between the same parallels BC , AE ; the parallelogram ABCD A D E is double of the triangle EBC . Join AC ; then the triangle ABC is equal ( 37. 1. ) ...
Let the paralellogram ABCD and the triangle EBC be upon the same base BC and between the same parallels BC , AE ; the parallelogram ABCD A D E is double of the triangle EBC . Join AC ; then the triangle ABC is equal ( 37. 1. ) ...
Página 48
Let ABCD be a parallelogram of which the diameter is AC ; let EH , FG be the parallelograms about AC , that is , through which AC passes , and let BK , KD be the other parallelograms , which make up the A H D whole figure ABCD and are ...
Let ABCD be a parallelogram of which the diameter is AC ; let EH , FG be the parallelograms about AC , that is , through which AC passes , and let BK , KD be the other parallelograms , which make up the A H D whole figure ABCD and are ...
Página 49
It is required to describe a parallelogram equal to ABCD , and having an angle equal to E. G Join DB , and describe ( 42. 1. ) the OF GEOMETRY . BOOK . I. 49 V ...
It is required to describe a parallelogram equal to ABCD , and having an angle equal to E. G Join DB , and describe ( 42. 1. ) the OF GEOMETRY . BOOK . I. 49 V ...
Página 50
And because the triangle ABD is equal to the parallelogram HF and the triangle DBC to the parallelogram GM , the whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram KFLM has been ...
And because the triangle ABD is equal to the parallelogram HF and the triangle DBC to the parallelogram GM , the whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram KFLM has been ...
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Términos y frases comunes
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
Información bibliográfica
| Título | 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 |
| Autor | John Playfair |
| Editor | E. Duyckinck, and George Long, 1824 |
| Procedencia del original | Universidad de Indiana |
| Digitalizado | 15 Ene. 2009 |
| Largo | 333 páginas |
| Exportar cita | BiBTeX EndNote RefMan |