The Elements of Geometry, Symbolically Arranged |
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Seite 11
To 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 . from cr . DBC ; Post . 3 . B , at dist . BA , descr .
To 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 . from cr . DBC ; Post . 3 . B , at dist . BA , descr .
Seite 12
Wherefore , from the given pt . A , a str . line AL has been drawn equal to the given str . line BC . PROP . III . PROB . 3. 1 Eu . From the greater of two given straight lines , to cut off a part equal to the less .
Wherefore , from the given pt . A , a str . line AL has been drawn equal to the given str . line BC . PROP . III . PROB . 3. 1 Eu . From the greater of two given straight lines , to cut off a part equal to the less .
Seite 20
To bisect a given finite straight line , that is , to divide it into two equal parts . To divide AB into two Prop . 1 . Prop . 8 . Upon AB descr . equilat . parts . ABC . Bisect ACB by CD . Then AB is bisected at D. C Constr . Constr .
To bisect a given finite straight line , that is , to divide it into two equal parts . To divide AB into two Prop . 1 . Prop . 8 . Upon AB descr . equilat . parts . ABC . Bisect ACB by CD . Then AB is bisected at D. C Constr . Constr .
Seite 21
1 E. To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given line , and Ca pt . with- out it ; it is required to draw CH | AB . Take any pt .
1 E. To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given line , and Ca pt . with- out it ; it is required to draw CH | AB . Take any pt .
Seite 31
At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . Let AB be the given str . line , A a given pt . in it , DCE the given at A in AB / DCE . ; to make an In CD , CE , take any ...
At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . Let AB be the given str . line , A a given pt . in it , DCE the given at A in AB / DCE . ; to make an In CD , CE , take any ...
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The Elements of Geometry, Symbolically Arranged Great Britain Admiralty Keine Leseprobe verfügbar - 2016 |
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ABCD AC² angle contained base base BC bisect called centre circle circumference coincides common Constr descr described diam diameter dist divided draw equal equal angles equiangular equilat expressed extremities falls figure given point given straight line gnomon greater half isosceles join less Let ABC line drawn manner mean meet oppo opposite angle opposite sides parallel parallelogram pass perpendicular plane polygon PROB prod produced Prop proportional proposition proved quantities ratio rect rectangle contained rectilineal remain right angles segments shown sides square THEOR touch triangle unequal Wherefore Нур
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Seite 58 - 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 32 - 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 60 - 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 36 - 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 61 - 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 21 - 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 37 - 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 3 - 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 77 - 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 19 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.
Bibliografische Informationen
| Titel | The Elements of Geometry, Symbolically Arranged |
| Autor/in | Great Britain. Admiralty |
| Ausgabe | 2 |
| Veröffentlicht | 1846 |
| Original von | Oxford University |
| Digitalisiert | 10. Okt. 2006 |
| Zitat exportieren | BiBTeX EndNote RefMan |