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 32
Q. E. D. PROP . XVII . THEOR . Any two angles of a triangle are together less than two right angles . Let ABC be any triangle ; any A two of its angles together are less than two right angles . Produce BC to D ; and because ACD is the ...
Q. E. D. PROP . XVII . THEOR . Any two angles of a triangle are together less than two right angles . Let ABC be any triangle ; any A two of its angles together are less than two right angles . Produce BC to D ; and because ACD is the ...
Página 33
PROP . XIX . THEOR . The greater angle of every triangle is subtended by the greater - side , or has the greater side opposite to it . Let ABC be a triangle , of which the angle ABC is greater than the angle BCA ; the side AC is ...
PROP . XIX . THEOR . The greater angle of every triangle is subtended by the greater - side , or has the greater side opposite to it . Let ABC be a triangle , of which the angle ABC is greater than the angle BCA ; the side AC is ...
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PROP . XXI . THEOR . > If from the ends of one side of a triangle , there be drawn two straight lines to a point within the triangle , these two lines shall be less than the other two sides of the triangle , but shall contain a greater ...
PROP . XXI . THEOR . > If from the ends of one side of a triangle , there be drawn two straight lines to a point within the triangle , these two lines shall be less than the other two sides of the triangle , but shall contain a greater ...
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PROP . XXIV . THEOR . If two triangles have two sides of the one equ il to two sides of the other , each to each , but the angle contained by the two sides of the one greater than the angle contained by the two sides of the other ...
PROP . XXIV . THEOR . If two triangles have two sides of the one equ il to two sides of the other , each to each , but the angle contained by the two sides of the one greater than the angle contained by the two sides of the other ...
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Q. E. D. PROP . XXVIII . THEOR . 1 If a straight line falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side of the line ; or makes the interior angles upon the same side ...
Q. E. D. PROP . XXVIII . THEOR . 1 If a straight line falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side of the line ; or makes the interior angles upon the same side ...
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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 |