Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., En¾ |
Im Buch
Ergebnisse 1-5 von 80
Seite 23
is greater than the interior and opposite angle , the extorior angle BDC of the triangle CDE is greater than CED ; for the same reason , the exterior angle CEB of the triangle ABE is greater than BAC ; and it has been demonstrated that ...
is greater than the interior and opposite angle , the extorior angle BDC of the triangle CDE is greater than CED ; for the same reason , the exterior angle CEB of the triangle ABE is greater than BAC ; and it has been demonstrated that ...
Seite 34
to BC ; for the same reason EP is equal to BC ; wherefore AD is equal ( 1. Ax . ) to EF ; and DE is com- mon ; therefore the whole , or the remainder , AE is equal ( 2. or 3. Ax . ) to the whole , or the remainder DF ; nów AB is also ...
to BC ; for the same reason EP is equal to BC ; wherefore AD is equal ( 1. Ax . ) to EF ; and DE is com- mon ; therefore the whole , or the remainder , AE is equal ( 2. or 3. Ax . ) to the whole , or the remainder DF ; nów AB is also ...
Seite 37
to the triangle ADC : And because EKHA is a parallelogram , and AK its diameter , the triangle AEK is equal to the triangle AHK : For the same reason , the triangle KGC is equal to the A H .D E K F B G triangle KFC .
to the triangle ADC : And because EKHA is a parallelogram , and AK its diameter , the triangle AEK is equal to the triangle AHK : For the same reason , the triangle KGC is equal to the A H .D E K F B G triangle KFC .
Seite 40
with AG ; for the same reason , AB and AH are in the same straight line . Now be- cause the angle DBC is equal to the angle FBA , each of them being a right angle , adding to each the angle ABC , the whole angle DBA will be equal ( 2.
with AG ; for the same reason , AB and AH are in the same straight line . Now be- cause the angle DBC is equal to the angle FBA , each of them being a right angle , adding to each the angle ABC , the whole angle DBA will be equal ( 2.
Seite 50
... being a right angle , the other angles of the parallelogram CGKB are also right angles Wherefore CGKB is a square , and it is upon the side CB . D B K F E ( Cor . 46. . ) For the same reason HF also is a square , and it is 50 ELEMENTS.
... being a right angle , the other angles of the parallelogram CGKB are also right angles Wherefore CGKB is a square , and it is upon the side CB . D B K F E ( Cor . 46. . ) For the same reason HF also is a square , and it is 50 ELEMENTS.
Was andere dazu sagen - Rezension schreiben
Es wurden keine Rezensionen gefunden.
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremity fall fore four given given straight line greater half Hence inscribed interior join less Let ABC likewise magnitudes manner mean meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism PROB produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid square straight line taken tangent THEOR third touch triangle ABC wherefore whole
Beliebte Passagen
Seite 5 - 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 124 - 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 76 - The angle in a semicircle is a right angle: the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Seite 46 - If a 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.
Seite 7 - Let it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. And that a circle may be described from any centre, at any distance from that centre.
Seite 292 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 279 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Seite 145 - ... cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Seite 9 - If two triangles have two sides of the one equal to two sides of the...
Seite 28 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight lines AC, BD ; AC, BD are also equal and parallel.
Bibliografische Informationen
| Titel | Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., En¾ Dean's stereotype edition |
| Autor/in | John Playfair |
| Verlag | J.B. Lippincott & Company, 1855 |
| Original von | New York Public Library |
| Digitalisiert | 21. Juni 2006 |
| Länge | 317 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |