The Elements of Geometry, Symbolically Arranged |
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Seite 68
... circle , bisect a straight line in it which does not pass through the centre , it shall cut it at right angles : and if it cut it at right angles , it shall bisect it . Let ABC be a O , and let CD passing through the Cr . bisect AB not ...
... circle , bisect a straight line in it which does not pass through the centre , it shall cut it at right angles : and if it cut it at right angles , it shall bisect it . Let ABC be a O , and let CD passing through the Cr . bisect AB not ...
Seite 69
... circle , from the extremity of it , falls without the circle ; and no straight line can be drawn from the extremity be- tween that straight line and the circum- ference , so as not to cut the circle . 1st . Let ABC be a O , with Cr . D ...
... circle , from the extremity of it , falls without the circle ; and no straight line can be drawn from the extremity be- tween that straight line and the circum- ference , so as not to cut the circle . 1st . Let ABC be a O , with Cr . D ...
Seite 71
... circle at that Des . pa . extremity . PROP . LII . PROB . 17. 3 En . To draw a tangent to a given circle , from a given point , either without or in the circum- ference of the circle . 1st . Let A be a given point without the given BCD ...
... circle at that Des . pa . extremity . PROP . LII . PROB . 17. 3 En . To draw a tangent to a given circle , from a given point , either without or in the circum- ference of the circle . 1st . Let A be a given point without the given BCD ...
Seite 72
... circle ; the straight line drawn from the centre to the point of contact , shall be perpendicular to the line touching the circle . Let str . line DE touch O ABC in C ; take the centre F , and draw str . line FC ; then shall FC DE ...
... circle ; the straight line drawn from the centre to the point of contact , shall be perpendicular to the line touching the circle . Let str . line DE touch O ABC in C ; take the centre F , and draw str . line FC ; then shall FC DE ...
Seite 73
... circle , and from the point of contact a straight line be drawn at right angles to the touching line , the centre of the circle shall be in that line . Let str . line DE touch O ABC in C ; draw CAL DE : then the Cr . of shall be in CA ...
... circle , and from the point of contact a straight line be drawn at right angles to the touching line , the centre of the circle shall be in that line . Let str . line DE touch O ABC in C ; draw CAL DE : then the Cr . of shall be in CA ...
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The Elements of Geometry, Symbolically Arranged Great Britain Admiralty Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
2ndly ABCD AC² angle contained angle equal base BC CB² centre circle circumference coincides Constr descr diam diameter dist divided equal angles equiangular equilat exterior angle figure given point given str given straight line gnomon greater isosceles triangle join Let ABC Let str Let the str line be drawn meet number of equal oppo opposite angle opposite sides parallel parallelogram perpendicular polygon PROB prod Prop rect rectangle contained rectilineal right angles right-angled triangle semi sides equal square THEOR touch trapezium Wherefore whole fig Нур
Beliebte Passagen
Seite 60 - 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 of the line between the points of section, is equal to the square of half the line.
Seite 34 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Seite 62 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square of...
Seite 38 - Wherefore, if a straight line, &c. QB D. PROPOSITION XXVIII. THEOB.—-If a straight line, falling upon two other straight lines, make the exterior angle equal to...
Seite 63 - If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal to twice the rectangle AB, BC, together with the square of AC.
Seite 23 - 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 shall be in one and the same straight line.
Seite 39 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right angles...
Seite 5 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another : XVI.
Seite 79 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Seite 21 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.