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 9
A A D If two triangles have tuo sides and the included angle in the one , equal to two sides and the included angle ... For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line ...
A A D If two triangles have tuo sides and the included angle in the one , equal to two sides and the included angle ... For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line ...
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The angles at the base of an isosceles triangle are equal to one another : namely , those to which the equal sides are opposite . If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A.
The angles at the base of an isosceles triangle are equal to one another : namely , those to which the equal sides are opposite . If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A.
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and have the other angles equal ; namely , the angle ABC equal to GBC , and the angle ACB equal to the angle GCB . PROP . VI . THEOR . The angles which one straight line makes with another upon one side of it , are either two right ...
and have the other angles equal ; namely , the angle ABC equal to GBC , and the angle ACB equal to the angle GCB . PROP . VI . THEOR . The angles which one straight line makes with another upon one side of it , are either two right ...
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to two right angles ; but the angles ABC , ABD are E likewise together equal to two right angles : therefore the ... Ć B D are equal to the angles CBA , ABD : Take away the common angle ABC , and the remaining angle ABE is equal ( 3.
to two right angles ; but the angles ABC , ABD are E likewise together equal to two right angles : therefore the ... Ć B D are equal to the angles CBA , ABD : Take away the common angle ABC , and the remaining angle ABE is equal ( 3.
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the angle ACD , is greater than the angle ABC . B PROP . X. THEOR . 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 . B PROP . X. THEOR . 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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Términos y frases comunes
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance 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 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, Elements of Plane and Spherical Trigonometry |
| Autor | John Playfair |
| Editor | W. E. Dean, 1836 |
| Largo | 311 páginas |
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