The Element of GeometryW.E. Dean, 1836 - 114 Seiten |
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Seite 45
... circle , the cir- cles are also equal . Let ABG , DEF be two circles , having the radius AC of the one circle equal ... ABCD be a circle , and BD the diameter ; DAB is equivalent to BCD . For , if DAB be applied to BCD , be- cause all ...
... circle , the cir- cles are also equal . Let ABG , DEF be two circles , having the radius AC of the one circle equal ... ABCD be a circle , and BD the diameter ; DAB is equivalent to BCD . For , if DAB be applied to BCD , be- cause all ...
Seite 46
... circle . C Let ABC be the given circle ; it is required to find its centre . Draw any straight line AB in the circle ABC , and bisect ( 8. 1. ) it in D ; from the point D draw ( 9. 1. ) DC at right angles to AB , and produce it to E ...
... circle . C Let ABC be the given circle ; it is required to find its centre . Draw any straight line AB in the circle ABC , and bisect ( 8. 1. ) it in D ; from the point D draw ( 9. 1. ) DC at right angles to AB , and produce it to E ...
Seite 48
... circle ; and , of all others , that which is nearer to the centre is always greater than one more re- mote ; and the greater is nearer to the centre than the less . Let ABCD be a circle , of which the diameter is AD , and the cen- tre E ...
... circle ; and , of all others , that which is nearer to the centre is always greater than one more re- mote ; and the greater is nearer to the centre than the less . Let ABCD be a circle , of which the diameter is AD , and the cen- tre E ...
Seite 50
... circle BCD ; it is required to draw a straight line from A which shall touch the circle . Find ( 3. 3. ) the centre ... ABC in the point C , take the centre F , and draw the straight line FC ; FC is perpendicular to DE . For if it be not ...
... circle BCD ; it is required to draw a straight line from A which shall touch the circle . Find ( 3. 3. ) the centre ... ABC in the point C , take the centre F , and draw the straight line FC ; FC is perpendicular to DE . For if it be not ...
Seite 51
... circle , and from the point of contact a straight line be drawn at right angles to the touching line , the centre of the cir- cle shall be in that line . Let the straight line DE touch the circle ABC in C , and from C let CA be drawn at ...
... circle , and from the point of contact a straight line be drawn at right angles to the touching line , the centre of the cir- cle shall be in that line . Let the straight line DE touch the circle ABC in C , and from C let CA be drawn at ...
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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...