The Elements of geometry; or, The first six books, with the eleventh and twelfth, of Euclid, with corrections, annotations, and exercises, by R. Wallace. Cassell's ed |
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Seite 10
It is required to prove that this straight line will bisect the angle FAG . This suggests & readier mode of bisecting an angle than that contained in Prop . IX . of this book . The third case needs no demonstration , because when the ...
It is required to prove that this straight line will bisect the angle FAG . This suggests & readier mode of bisecting an angle than that contained in Prop . IX . of this book . The third case needs no demonstration , because when the ...
Seite 12
To bisect a given rectilineal angle ; that is , to divide it into two equal angles . Let BAC be the given rectilineal ... Wherefore the given rectilineal angle B BAC is bisected by the straight line AF . Q. E. F. TE T By means of this ...
To bisect a given rectilineal angle ; that is , to divide it into two equal angles . Let BAC be the given rectilineal ... Wherefore the given rectilineal angle B BAC is bisected by the straight line AF . Q. E. F. TE T By means of this ...
Seite 13
To bisect a given finite straight line ; that is , to divide it into two equal parts . Let AB be the given straight line . It is required to divide it into two equal parts . Describe upon AB ( I. 1 ) an equilateral triangle ABC ...
To bisect a given finite straight line ; that is , to divide it into two equal parts . Let AB be the given straight line . It is required to divide it into two equal parts . Describe upon AB ( I. 1 ) an equilateral triangle ABC ...
Seite 14
If the three sides of a triangle - be bisected , and straight lines be drawn through the points of bisection at right angles to the sides , they shall , if produced , meet in the same point . 4.
If the three sides of a triangle - be bisected , and straight lines be drawn through the points of bisection at right angles to the sides , they shall , if produced , meet in the same point . 4.
Seite 15
If an angle and its supplement be bisected , the bisecting lines are perpendicular to each other . PROP . XIV . THEORE M. If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the ...
If an angle and its supplement be bisected , the bisecting lines are perpendicular to each other . PROP . XIV . THEORE M. If , at a point in a straight line , two other straight lines , upon the opposite sides of it , make the ...
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The Elements of Geometry: Or, the First Six Books, with the Eleventh and ... Euclides Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
ABCD altitude angle BAC base bisected Book centre circle circle ABC circumference common compounded cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw equal angles equiangular equimultiples Exercise exterior angle extremities fore four fourth given straight line greater half homologous inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar similarly solid solid angle sphere square straight line A B Take taken THEOREM third touch triangle A B C twice vertex Wherefore whole
Beliebte Passagen
Seite 23 - 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.
Seite 34 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Seite 2 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Seite 122 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Seite 5 - LET it be granted that a straight line may be drawn from any one point to any other point.
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.
Seite 135 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar.
Seite 20 - PROBLEM. At a given point in a given straight line, to make a rectilineal angle equal to a given rectilineal angle.
Seite 147 - Similar solid figures are such as have all their solid angles equal, each to each, and are contained by the same number of similar planes.
Seite 37 - 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...
Bibliografische Informationen
| Titel | The Elements of geometry; or, The first six books, with the eleventh and twelfth, of Euclid, with corrections, annotations, and exercises, by R. Wallace. Cassell's ed |
| Autor/in | Euclides |
| Herausgeber | Robert Wallace |
| Veröffentlicht | 1855 |
| Original von | Oxford University |
| Digitalisiert | 8. Sept. 2006 |
| Zitat exportieren | BiBTeX EndNote RefMan |