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 6
20. A scalene triangle is that which has three unequal sides . 21. A right angled triangle is that which has a right angle . The side opposite the right angle is called the hypotenuse . 22. An obtuse angled triangle , is that which has ...
20. A scalene triangle is that which has three unequal sides . 21. A right angled triangle is that which has a right angle . The side opposite the right angle is called the hypotenuse . 22. An obtuse angled triangle , is that which has ...
Página 9
AB to DE , and AC to DF ; and let the angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite ...
AB to DE , and AC to DF ; and let the angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite ...
Página 10
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.
Página 11
... then shall the two triangles be identical , or have their angles equal , that is , those angles that are opposite to the equal sides ; namely , the angle BAC to the angle EDF , the angle ABC to DEF , and the angle ACB to DFE .
... then shall the two triangles be identical , or have their angles equal , that is , those angles that are opposite to the equal sides ; namely , the angle BAC to the angle EDF , the angle ABC to DEF , and the angle ACB to DFE .
Página 12
If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines are in one and the same straight line .
If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines are in one and the same straight line .
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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 |
| Exportar cita | BiBTeX EndNote RefMan |