Elements of Geometry;: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry |
Im Buch
Ergebnisse 1-5 von 90
Seite vii
А new Axiom is also introduced in the room of the 12th , for the purpose of demonftrating more easily some of the properties of parallel lines . In the third Book , the remarks concerning the angles made by a straight line , and the ...
А new Axiom is also introduced in the room of the 12th , for the purpose of demonftrating more easily some of the properties of parallel lines . In the third Book , the remarks concerning the angles made by a straight line , and the ...
Seite 5
... equal to one another , but all its fides are not equal , nor its angles right angles . XXIX . All other four fided figures besides these , are called Trapeziums . B 3 Xxx . Book 1 . XXX . Parallel straight lines , are OF GEOMETRY .
... equal to one another , but all its fides are not equal , nor its angles right angles . XXIX . All other four fided figures besides these , are called Trapeziums . B 3 Xxx . Book 1 . XXX . Parallel straight lines , are OF GEOMETRY .
Seite 6
Parallel straight lines , are such as are in the same plané , and which , being produced ever so far both ways , do not meet . POSTUL ATES . LE I. ET it be granted that a straight line may be drawn from any one point to any other point ...
Parallel straight lines , are such as are in the same plané , and which , being produced ever so far both ways , do not meet . POSTUL ATES . LE I. ET it be granted that a straight line may be drawn from any one point to any other point ...
Seite 7
Two straight lines , which intersect one another , cannot be “ both parallel to the fame { traight line . ” B4 PROPO . Book I. PROPOSITION I. PROBLEM . T describe an equilateral OF OF GEOMETRY . 7.
Two straight lines , which intersect one another , cannot be “ both parallel to the fame { traight line . ” B4 PROPO . Book I. PROPOSITION I. PROBLEM . T describe an equilateral OF OF GEOMETRY . 7.
Seite 29
For , if it be not parallel , AB and CD being produced shall meet either towards B , D , or towards A , C ; let them be produced and meet towards B , D in the point G ; therefore GEF is a triangle , and its exterior angle A EF is ...
For , if it be not parallel , AB and CD being produced shall meet either towards B , D , or towards A , C ; let them be produced and meet towards B , D in the point G ; therefore GEF is a triangle , and its exterior angle A EF is ...
Was andere dazu sagen - Rezension schreiben
Es wurden keine Rezensionen gefunden.
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
ABCD alſo altitude angle ABC angle BAC arch baſe becauſe biſected Book called caſe centre circle circle ABC circumference coincide common cylinder definition demonſtrated deſcribed diameter difference divided draw drawn equal equal angles equiangular Euclid extremity fall fame fides firſt folid fore four fourth given given ſtraight line greater half inſcribed join leſs Let ABC magnitudes meet multiple muſt oppoſite parallel parallelogram perpendicular plane polygon priſm produced PROP proportionals propoſition proved radius ratio rectangle contained remaining right angles ſame ſame reaſon ſecond ſegment ſhall ſides ſimilar ſin ſince ſolid ſpherical ſquare ſtraight line ſuch ſum taken tangent THEOR theſe thing third thoſe touches triangle ABC wherefore whole
Beliebte Passagen
Seite 27 - 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 172 - 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 42 - The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another.
Seite 84 - The diameter is the greatest straight line in a circle; and of all others, that which is nearer to the centre is always greater than one more remote; and the greater is nearer to the centre than the less. Let ABCD be a circle, of which...
Seite 106 - IF from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle be equal to the square of the line which meets it, the line which meets shall touch the circle.
Seite 22 - THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA : the side AC is likewise greater than the side AB. For, if it be not greater, AC must...
Seite 64 - If then the sides of it, BE, ED are equal to one another, it is a square, and what was required is now done: But if they are not equal, produce one of them BE to F, and make EF equal to ED, and bisect BF in G : and from the centre G, at the distance GB, or GF, describe the semicircle...
Seite 166 - IN a right angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. Let ABC be a right angled triangle, having the right angle BAC ; and from the point A let AD be drawn perpendicular to the base BC : the triangles ABD, ADC are similar to the whole triangle ABC, and to one another.
Seite 54 - 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...
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.
Bibliografische Informationen
| Titel | Elements of Geometry;: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry Band 109 von Jahn library |
| Autor/in | John Playfair |
| Ausgabe | 2 |
| Verlag | Bell & Bradfute, 1804 |
| Original von | Harvard University |
| Digitalisiert | 27. Apr. 2007 |
| Länge | 440 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |