The Element of Geometry |
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Seite 21
I. Two straight lines in the same direction from different points , may be called parallel lines . II . A plane figure enclosed by four straight lines , may be called a quadrangle . III . A quadrangle , whose opposite sides are parallel ...
I. Two straight lines in the same direction from different points , may be called parallel lines . II . A plane figure enclosed by four straight lines , may be called a quadrangle . III . A quadrangle , whose opposite sides are parallel ...
Seite 22
Through K , any point in AC , draw EF parallel to AD ; and also GH parallel to AB . A А K E F parallelogram may be named by the letters at two opposite angles , as AC . XI . The parallelograms through which B G the diagonal passes ...
Through K , any point in AC , draw EF parallel to AD ; and also GH parallel to AB . A А K E F parallelogram may be named by the letters at two opposite angles , as AC . XI . The parallelograms through which B G the diagonal passes ...
Seite 24
If a straight line fall on two parallel lines , it makes the corresponding angles equal . Let the straight line EF fall on the two parallel lines AB , CD ; it makes the corresponding angles equal . Because AB is parallel to CD , E it is ...
If a straight line fall on two parallel lines , it makes the corresponding angles equal . Let the straight line EF fall on the two parallel lines AB , CD ; it makes the corresponding angles equal . Because AB is parallel to CD , E it is ...
Seite 25
if a straight line fall on two parallel lines , it makes the two interior angles on the same side together equal to two right angles . Cor . II . Straight lines that are parallel to the same straight line , are parallel to one another .
if a straight line fall on two parallel lines , it makes the two interior angles on the same side together equal to two right angles . Cor . II . Straight lines that are parallel to the same straight line , are parallel to one another .
Seite 26
is parallel to CE , and BD falls upon them , the corresponding angles ABC , ECD are equal ; but the angle ACE was shown to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two interior and opposite ...
is parallel to CE , and BD falls upon them , the corresponding angles ABC , ECD are equal ; but the angle ACE was shown to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two interior and opposite ...
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The Element of Geometry (Classic Reprint) Formerly Chairman Department of Immunology John Playfair,John Playfair Keine Leseprobe verfügbar - 2017 |
Häufige Begriffe und Wortgruppen
AC is equal angle ABC angle ACB angle BAC angled triangle angles equal base bisect called centre circle circle ABCD circumference coincide common described diameter difference direction distance divided double draw drawn equal angles equiangular equivalent extremity fall figure fore four given straight line greater half join length less Let ABC likewise mean meet parallel parallelogram pass perpendicular plane polygon produced PROP proportional proved Q. E. D. PROP quantities radius ratio reason rectangle contained rectilineal figure remaining angle right angles segment side AC sides similar sine space square of AC tangent THEOR third triangle ABC twice the rectangle wherefore whole
Beliebte Passagen
Seite 25 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Seite 13 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line E iR.
Seite 4 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Seite 29 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
Seite 90 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Seite 87 - ... magnitudes there be taken more than its half, and from the remainder more than its half, and so on, there shall at length remain a magnitude less than the least of the proposed magnitudes.
Seite 1 - If two triangles have two sides of the one equal to two sides of the...
Seite 13 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Seite 64 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Seite 19 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Bibliografische Informationen
| Titel | The Element of Geometry |
| Autor/in | John Playfair |
| Verlag | W.E. Dean, 1836 |
| Original von | New York Public Library |
| Digitalisiert | 21. Juni 2006 |
| Länge | 114 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |