The Element of GeometryW.E. Dean, 1836 - 114 Seiten |
Im Buch
Ergebnisse 1-5 von 57
Seite 13
... equal , each to each , viz . those to which the equal sides are op- posite . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the angle BAC ...
... equal , each to each , viz . those to which the equal sides are op- posite . Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the angle BAC ...
Seite 14
John Playfair. AC , & angle BCE . BG , Ci . AB , AC , be produced to D and E , the ai to ACB , and the angle CBD to the angle in B1 take any point F , and make AG equal to AF , and join B C F G Because AF is equal ... equal to the angle For ...
John Playfair. AC , & angle BCE . BG , Ci . AB , AC , be produced to D and E , the ai to ACB , and the angle CBD to the angle in B1 take any point F , and make AG equal to AF , and join B C F G Because AF is equal ... equal to the angle For ...
Seite 15
John Playfair. equal to AC , one of them is greater than the other ; let AB be the greater , and from it cut off DB ... equal sides are also equal . Let the two triangles ABC , DEF , have the three sides equal , that is , AB equal to DE ...
John Playfair. equal to AC , one of them is greater than the other ; let AB be the greater , and from it cut off DB ... equal sides are also equal . Let the two triangles ABC , DEF , have the three sides equal , that is , AB equal to DE ...
Seite 16
... equal to the angle GBC , or DEF , and the angle ACB to the angle GCB , or DFE . Therefore , if , & c . Q. E. D. PROP ... AC is equal to the third side BC , and the straight line AB is divided into two equal parts in the point C. Which ...
... equal to the angle GBC , or DEF , and the angle ACB to the angle GCB , or DFE . Therefore , if , & c . Q. E. D. PROP ... AC is equal to the third side BC , and the straight line AB is divided into two equal parts in the point C. Which ...
Seite 17
... equal to EF , CE , and the third side CF common ; therefore ( 7. 1. ) , the angles CDF , CEF are equal ; and ... AC be also perpendicular . Produce AB to F , make BF equal to AB , and join FC . Because the angle ABC is a right angle ...
... equal to EF , CE , and the third side CF common ; therefore ( 7. 1. ) , the angles CDF , CEF are equal ; and ... AC be also perpendicular . Produce AB to F , make BF equal to AB , and join FC . Because the angle ABC is a right angle ...
Andere Ausgaben - Alle anzeigen
The Element of Geometry (Classic Reprint) Formerly Chairman Department of Immunology John Playfair,John Playfair Keine Leseprobe verfügbar - 2017 |
Häufige Begriffe und Wortgruppen
AB is equal AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF arc AC base BC bisect called centre circle ABCD circle EFGH coincide described divided drawn duplicate ratio equal 17 equal angles equal circles equal to CD equiangular FGHKL fore four right angles given straight line gnomon greater homologous sides join less Let ABC Let the straight opposite angles parallel parallelogram perpendicular polygon PROB produced Q. E. D. PROP radius rectangle BC rectangle contained rectilineal figure remaining angle right angled triangle secant segment side AC similar sine square of AC straight line AB straight line AC THEOR touches the circle triangle ABC twice the rectangle wherefore whole angle
Beliebte Passagen
Seite 25 - 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 on the line between the points of section, is equal to the square on half the line.
Seite 13 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line E iR.
Seite 4 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Seite 29 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
Seite 90 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Seite 87 - ... magnitudes there be taken more than its half, and from the remainder more than its half, and so on, there shall at length remain a magnitude less than the least of the proposed magnitudes.
Seite 1 - If two triangles have two sides of the one equal to two sides of the...
Seite 13 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Seite 64 - 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 19 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Bibliografische Informationen
| Titel | The Element of Geometry |
| Autor/in | John Playfair |
| Verlag | W.E. Dean, 1836 |
| Original von | New York Public Library |
| Digitalisiert | 21. Juni 2006 |
| Länge | 114 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |