The Element of GeometryW.E. Dean, 1836 - 114 Seiten |
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Seite 47
... pass through the centre , it shall cut it at right angles ; and if it cuts it at right angles , it shall bisect it . Let ABC be a circle ; and let CD , a straight line drawn through the centre , bisect any straight line AB , which does ...
... pass through the centre , it shall cut it at right angles ; and if it cuts it at right angles , it shall bisect it . Let ABC be a circle ; and let CD , a straight line drawn through the centre , bisect any straight line AB , which does ...
Seite 59
... pass through the centre , at right angles , in the point E : then , if BD be bisected in F , F B A E D D. is the centre of the circle ABCD ; join AF : and because BD , which passes through the centre , cuts the straight line AC , which ...
... pass through the centre , at right angles , in the point E : then , if BD be bisected in F , F B A E D D. is the centre of the circle ABCD ; join AF : and because BD , which passes through the centre , cuts the straight line AC , which ...
Seite 60
... pass through the centre : take the centre F , and through E , the intersection of the straight lines AC , DB , draw the diameter GEFH : and because the rectangle AE , EC is equal , as has been shown , to the rectangle GE , EH ; and ...
... pass through the centre : take the centre F , and through E , the intersection of the straight lines AC , DB , draw the diameter GEFH : and because the rectangle AE , EC is equal , as has been shown , to the rectangle GE , EH ; and ...
Seite 61
... pass through the point B : Let this be the circle AHB , and because from the point A the extremity of the diameter AE , AD is drawn at right angles to AE , therefore AD ( 8. 3. ) touches the circle ; and because AB drawn from the point ...
... pass through the point B : Let this be the circle AHB , and because from the point A the extremity of the diameter AE , AD is drawn at right angles to AE , therefore AD ( 8. 3. ) touches the circle ; and because AB drawn from the point ...
Seite 95
... pass through the ex- tremities of the other two , and be described about the triangle ABC . Which was to be done . COR . I. In the same way the circumference of a circle may be described through any three points , not in a straight line ...
... pass through the ex- tremities of the other two , and be described about the triangle ABC . Which was to be done . COR . I. In the same way the circumference of a circle may be described through any three points , not in a straight line ...
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 |