The Elements of Geometry, Symbolically Arranged |
Inni boken
Resultat 6-10 av 18
Side 54
... square GB = 2 △ FBC and between But the doubles of equals are equal , BL = square GB . In the same way , by joining AE , BK , it can CL be proved that square HC . .. Ax . 2 . whole square BDEC = square GB + square HC , i . e . BC2 ...
... square GB = 2 △ FBC and between But the doubles of equals are equal , BL = square GB . In the same way , by joining AE , BK , it can CL be proved that square HC . .. Ax . 2 . whole square BDEC = square GB + square HC , i . e . BC2 ...
Side 58
... straight line be divided into any two parts , the square of the whole line is equal to the squares of the two parts , together with twice the rectangle contained by the parts . Let str . line AB be divided into any two 58 GEOMETRY .
... straight line be divided into any two parts , the square of the whole line is equal to the squares of the two parts , together with twice the rectangle contained by the parts . Let str . line AB be divided into any two 58 GEOMETRY .
Side 60
... square of the line between the points of section , is equal to the square of half the whole line . Let the str . line AB be divided into two equal parts at the pt . C , and into two unequal parts at the point D ; then AD . DB + CD2 ...
... square of the line between the points of section , is equal to the square of half the whole line . Let the str . line AB be divided into two equal parts at the pt . C , and into two unequal parts at the point D ; then AD . DB + CD2 ...
Side 62
... square of half the line bisected , is equal to the square of the straight line which is made up of the half line and the part produced . Let the str . line AB be bisected in C , and produced to D ; then AD . DB + CB2 = CD ...
... square of half the line bisected , is equal to the square of the straight line which is made up of the half line and the part produced . Let the str . line AB be bisected in C , and produced to D ; then AD . DB + CB2 = CD ...
Side 63
... square of the other part . Let the str . line AB be divided into any two parts at the pt . C ; then AB + BC2 = 2.AB.BC + AC2 . A C B G H K D F E Upon AB descr . sq . ADEB , Prop . 38 . join BD . Draw { CGF AD or BE , Prop . 30 . HGK AB ...
... square of the other part . Let the str . line AB be divided into any two parts at the pt . C ; then AB + BC2 = 2.AB.BC + AC2 . A C B G H K D F E Upon AB descr . sq . ADEB , Prop . 38 . join BD . Draw { CGF AD or BE , Prop . 30 . HGK AB ...
Andre utgaver - Vis alle
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.