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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Side 6
An oblong , or rectangle , is that which has all its angles right angles , but has not
all its sides equal . 26. A lozenge , or rhombus , is that which has all its sides
equal , but its angles are not right angles . 27. A parallelogram , or rhomboid , is
that ...
An oblong , or rectangle , is that which has all its angles right angles , but has not
all its sides equal . 26. A lozenge , or rhombus , is that which has all its sides
equal , but its angles are not right angles . 27. A parallelogram , or rhomboid , is
that ...
Side 7
A parallelogram , or rhomboid , is that which has its opposite sides parallel , but
all its sides are not equal , nor its angles right angles . 28. And , lastly , the
trapezoid , only two of whose sides are parallel . 29. All other four sided figures
are ...
A parallelogram , or rhomboid , is that which has its opposite sides parallel , but
all its sides are not equal , nor its angles right angles . 28. And , lastly , the
trapezoid , only two of whose sides are parallel . 29. All other four sided figures
are ...
Side 25
Cor . 1. Hence , if two opposite sides of a quadrilateral are equal and parallel ,
the remaining sides will also be equal and parallel , and the figure will be a
parallelogram . Cor . 2. And every quadrilateral , whose opposite sides are equal
, is a ...
Cor . 1. Hence , if two opposite sides of a quadrilateral are equal and parallel ,
the remaining sides will also be equal and parallel , and the figure will be a
parallelogram . Cor . 2. And every quadrilateral , whose opposite sides are equal
, is a ...
Side 26
to the triangle BCD , and the diameter BC divides the parallelogram ACDB into
two equal parts . Cor . 1. Two parallel lines , included between two other parallels
, are equal . Cor . 2. If one angle of a parallelogram be a right angle , all the other
...
to the triangle BCD , and the diameter BC divides the parallelogram ACDB into
two equal parts . Cor . 1. Two parallel lines , included between two other parallels
, are equal . Cor . 2. If one angle of a parallelogram be a right angle , all the other
...
Side 27
Ax . ) , that is , the parallelogram ABCD is equal to the parallelogram EBCF .
PROP . XXX . THEOR . Parallelograms upon equal bases , and between the
same parallels , are equivalent to one another . Let ABCD , EFGH be
parallelograms ...
Ax . ) , that is , the parallelogram ABCD is equal to the parallelogram EBCF .
PROP . XXX . THEOR . Parallelograms upon equal bases , and between the
same parallels , are equivalent to one another . Let ABCD , EFGH be
parallelograms ...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1819 |
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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
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 spherical square straight line taken tangent THEOR third touch triangle ABC wherefore whole
Bibliografisk informasjon
| Tittel | 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 |
| Forfatter | John Playfair |
| Utgave | 6 |
| Utgiver | W. E. Dean, 1836 |
| Lengde | 311 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |