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, Edlemnts of Plane and Spherical Trigonometry |
Dentro del libro
Página 9
If two triangles have two sides and the included angle in the one , equal to two sides and the included angle in the ... B A E D F For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the ...
If two triangles have two sides and the included angle in the one , equal to two sides and the included angle in the ... B A E D F For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the ...
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Whenever in two triangles these three things are equal , namely , BC = EF , B = E , and C = F , it may be inferred that ... If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For ...
Whenever in two triangles these three things are equal , namely , BC = EF , B = E , and C = F , it may be inferred that ... If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For ...
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Hence every equiangular triangle is also equilateral . ... Let the two triangles ABC , DEF , have their three sides respectively equal , that is , the side AB equal to DE , AC to DF , and BC to EF ; then shall the two triangles be ...
Hence every equiangular triangle is also equilateral . ... Let the two triangles ABC , DEF , have their three sides respectively equal , that is , the side AB equal to DE , AC to DF , and BC to EF ; then shall the two triangles be ...
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to two right an- gles ; but the angles ABC , ABD are likewise together equal to two right an- gles : therefore the ... Let ABC be a triangle , and let its side BC be produced to D , the exte- rior angle ACD is greater than either of the ...
to two right an- gles ; but the angles ABC , ABD are likewise together equal to two right an- gles : therefore the ... Let ABC be a triangle , and let its side BC be produced to D , the exte- rior angle ACD is greater than either of the ...
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the angle ACD , is greater than the angle ABC . PROP . X. THEOR . G Any two angles of a triangle are together less than two right angles . Let ABC be any triangle ; any two of its angles together are less than two right angles .
the angle ACD , is greater than the angle ABC . PROP . X. THEOR . G Any two angles of a triangle are together less than two right angles . Let ABC be any triangle ; any two of its angles together are less than two right angles .
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid spherical square straight line taken tangent THEOR third touch 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, Edlemnts of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |