The Elements of Geometry, Symbolically Arranged |
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... describe or ter- minate . In this book , the points , lines , and surfaces are all considered to be in the same plane ; and the text of the first books of Euclid has been adhered to as closely in this little work as its symbolical form ...
... describe or ter- minate . In this book , the points , lines , and surfaces are all considered to be in the same plane ; and the text of the first books of Euclid has been adhered to as closely in this little work as its symbolical form ...
Seite 1
... descr . describe . 99 pt . 99 diam . diameter . 99 rect . 29 postulate . produce . produced . proposition . point . rectangle . dist . distance . rectilin . rectilineal . 99 99 ea . to ea . , each to each . rem . remainder . 99 equilat ...
... descr . describe . 99 pt . 99 diam . diameter . 99 rect . 29 postulate . produce . produced . proposition . point . rectangle . dist . distance . rectilin . rectilineal . 99 99 ea . to ea . , each to each . rem . remainder . 99 equilat ...
Seite 11
... describe an equilateral triangle upon a given straight line . Let AB be a given str . line , it is required to descr . an equilat . on AB . From cr . A , at dist . A B , descr . ○ DBC ; Post . 3 . from cr . B , at dist . BA , descr . O ...
... describe an equilateral triangle upon a given straight line . Let AB be a given str . line , it is required to descr . an equilat . on AB . From cr . A , at dist . A B , descr . ○ DBC ; Post . 3 . from cr . B , at dist . BA , descr . O ...
Seite 12
... descr . CGH ; from cr . D and dist . DG , descr . GKL . Then AL Post . 2 . Post . 3 . BC . K H DNA B L F G E Def . 15 . Def . 15 . Constr . Ax . 3 . Ax . 1 . B is cr . CGH , BCBG ; Dis cr . GKL , DL = DG ; and part DA part DB ...
... descr . CGH ; from cr . D and dist . DG , descr . GKL . Then AL Post . 2 . Post . 3 . BC . K H DNA B L F G E Def . 15 . Def . 15 . Constr . Ax . 3 . Ax . 1 . B is cr . CGH , BCBG ; Dis cr . GKL , DL = DG ; and part DA part DB ...
Seite 13
... descr . O DEF , cutting AB in E ; then AE C. D E B but F A is cr . O DEF , AE AD ; = C = AD ; AE C. Wherefore , from AB , the greater of two str . lines , a part AE has been cut off = C , the less . PROP . IV . THEOR . 4. 1 Eu . If two ...
... descr . O DEF , cutting AB in E ; then AE C. D E B but F A is cr . O DEF , AE AD ; = C = AD ; AE C. Wherefore , from AB , the greater of two str . lines , a part AE has been cut off = C , the less . PROP . IV . THEOR . 4. 1 Eu . If two ...
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The Elements of Geometry, Symbolically Arranged Great Britain Admiralty Keine Leseprobe verfügbar - 2016 |
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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
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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.