The Elements of Geometry, Symbolically Arranged |
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Seite 6
... polygons , by more than four straight lines . XXIV . Of three - sided figures , an equilate- ral triangle is that which has three equal sides . XXV . An isosceles triangle is that which has only two sides equal . XXVI . A scalene ...
... polygons , by more than four straight lines . XXIV . Of three - sided figures , an equilate- ral triangle is that which has three equal sides . XXV . An isosceles triangle is that which has only two sides equal . XXVI . A scalene ...
Seite 108
... polygons having anno . sides inscrib . in Os whose centres are Q , R ; join AQ , BQ , & c . and GR , HR , & c . : then shall Oce of polygon ABC , & c . :: " of polygon GHI & c . :: AQ : GR . A B F G H R C M I L K 15 def . E FQ , AQ = AQ ...
... polygons having anno . sides inscrib . in Os whose centres are Q , R ; join AQ , BQ , & c . and GR , HR , & c . : then shall Oce of polygon ABC , & c . :: " of polygon GHI & c . :: AQ : GR . A B F G H R C M I L K 15 def . E FQ , AQ = AQ ...
Seite 109
... polygon GHI , & c . Therefore , the ces & c . COR . - If the sides be indefinitely dimin- ished , and their no . increased , the ces of the polygons will coincide with the ces of the cir- cumscribing Os . the circumferences of circles ...
... polygon GHI , & c . Therefore , the ces & c . COR . - If the sides be indefinitely dimin- ished , and their no . increased , the ces of the polygons will coincide with the ces of the cir- cumscribing Os . the circumferences of circles ...
Seite 110
... polygon ABC , & c . : area of poly- gon GHI , & c . :: AQ2 : GR2 . If the sides be indefinitely diminished , and their number increased , the areas of the two polygons will be equal to the areas of their cir- cumscribing Os ; .. Area of ...
... polygon ABC , & c . : area of poly- gon GHI , & c . :: AQ2 : GR2 . If the sides be indefinitely diminished , and their number increased , the areas of the two polygons will be equal to the areas of their cir- cumscribing Os ; .. Area of ...
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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.