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 100
Seite 13
AB to DE , and AC to DF , and let the angle А D BAC be also equal to the angle EDF : then shall .he base BC be equal to ' the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal . sides are ...
AB to DE , and AC to DF , and let the angle А D BAC be also equal to the angle EDF : then shall .he base BC be equal to ' the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal . sides are ...
Seite 14
The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal ...
The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal ...
Seite 15
base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other side of the base . COROLLARY . Hence every equilateral triangle is also equiangular PROP . VI .
base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other side of the base . COROLLARY . Hence every equilateral triangle is also equiangular PROP . VI .
Seite 16
But if one of the vertices , as D , E be within the other triangle ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( 5. 1. ) ...
But if one of the vertices , as D , E be within the other triangle ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( 5. 1. ) ...
Seite 17
and upon the same son , as EG and FG ; then , upon the same base EF , side of it , there can be two triangles EDF , EGF , that have their sides whicb are terminated in one extremity of the base equal to one another , and likewise their ...
and upon the same son , as EG and FG ; then , upon the same base EF , side of it , there can be two triangles EDF , EGF , that have their sides whicb are terminated in one extremity of the base equal to one another , and likewise their ...
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 |