The Elements of Geometry, Symbolically Arranged |
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Side 72
... 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 . A F B D E C G For if FC be not DE , draw FBG ...
... 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 . A F B D E C G For if FC be not DE , draw FBG ...
Side 73
... 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. B A F E F For if not , if possible let F be the PROP . LIII . LIV . 73.
... 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. B A F E F For if not , if possible let F be the PROP . LIII . LIV . 73.
Side 74
... centre of a circle is double of the angle at the circumference upon the same arc , that is , upon the same part of the cir- cumference . ce Let ABC be a ; BEC an at the Cr . E , and BAC an △ at the Oe , having the same arc BC for their ...
... centre of a circle is double of the angle at the circumference upon the same arc , that is , upon the same part of the cir- cumference . ce Let ABC be a ; BEC an at the Cr . E , and BAC an △ at the Oe , having the same arc BC for their ...
Side 75
... centre , & c . PROP . LVI . THEOR . 21. 3 Eu . The angles in the same segment of a circle are equal to one another . Let ABCD be a O , and s BAD , BED in the same segment BAED : then shall = / BED . BAD Fig . 2 . Fig . 1 . E A Fig . 2 ...
... centre , & c . PROP . LVI . THEOR . 21. 3 Eu . The angles in the same segment of a circle are equal to one another . Let ABCD be a O , and s BAD , BED in the same segment BAED : then shall = / BED . BAD Fig . 2 . Fig . 1 . E A Fig . 2 ...
Side 77
... centre or the circumference stand upon equal arcs . Let ABG , CDH be equal Os , and the equal angles AEB , CFD at their centres , and Prop . 56 . Prop . 31 . AGB , CHD at their circumferences ; then shall arc PROP . LVII . LVIII . 77.
... centre or the circumference stand upon equal arcs . Let ABG , CDH be equal Os , and the equal angles AEB , CFD at their centres , and Prop . 56 . Prop . 31 . AGB , CHD at their circumferences ; then shall arc PROP . LVII . LVIII . 77.
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The Elements of Geometry, Symbolically Arranged Great Britain Admiralty Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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...
Side 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...
Side 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...
Side 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.
Side 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.
Side 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...
Side 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.
Side 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.
Side 21 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.