Elements of geometry, based on Euclid, books i-iii1876 - 119 sider |
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Side 1
George Henschel. Rosa von Feodor und Rosa zugeeignet . Milde BREI BUETTE für eine Männer - und eine Frauenstimme mit Begleitung von des Pianoforte GEORG HENSCHEL . Op . 28 . Translated into English by Mrs. Natalia Macfarren . Ent . Stat ...
George Henschel. Rosa von Feodor und Rosa zugeeignet . Milde BREI BUETTE für eine Männer - und eine Frauenstimme mit Begleitung von des Pianoforte GEORG HENSCHEL . Op . 28 . Translated into English by Mrs. Natalia Macfarren . Ent . Stat ...
Side
... Manner. Og Line sad bag Manner. Sanne boede i det samme hus som Manner. Manner boede på første sal. Sanne boede på anden sal. Manners værelse lå lige under Sannes værelse. Manner bankede hver aften tre gange med sin bedstemors ...
... Manner. Og Line sad bag Manner. Sanne boede i det samme hus som Manner. Manner boede på første sal. Sanne boede på anden sal. Manners værelse lå lige under Sannes værelse. Manner bankede hver aften tre gange med sin bedstemors ...
Side iv
... manner , even to trace them upon trans- parent paper , rather than omit the practice altogether . A real proficiency may soon be made in geographical know- ledge by drawing or tracing maps in any manner , and the same degree of ...
... manner , even to trace them upon trans- parent paper , rather than omit the practice altogether . A real proficiency may soon be made in geographical know- ledge by drawing or tracing maps in any manner , and the same degree of ...
Side 19
... manner in which it is observed can be described . Nor is the manner of observing it confined to the lower classes of the native community . The highest apparently joining in it with the same zest as the lowest . For two or three days no ...
... manner in which it is observed can be described . Nor is the manner of observing it confined to the lower classes of the native community . The highest apparently joining in it with the same zest as the lowest . For two or three days no ...
Side 18
... manner of flies , all manner of 1ST ALTO . 1ST TENOR an 8ve lower . and there came all manner of flies , all manner of He spake the word , 1ST BASS . He spake the word , 2ND CHORUS . Andante Larghetto . 2ND TREBLE , C 2ND ALTO . 2ND ...
... manner of flies , all manner of 1ST ALTO . 1ST TENOR an 8ve lower . and there came all manner of flies , all manner of He spake the word , 1ST BASS . He spake the word , 2ND CHORUS . Andante Larghetto . 2ND TREBLE , C 2ND ALTO . 2ND ...
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Almindelige termer og sætninger
AB is equal AC and CD adjacent angles alternate angles angle ABC angle ACB angle BAC angle BCD angle contained angle DEF angle EDF angle equal angles BGH angles CBA base BC BC is equal bisect centre circle ABC circumference diagonal diameter double draw equal circles equal to AC equal to twice EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line gnomon greater interior and opposite isosceles triangle less Let ABC Let the straight opposite angles parallel to BC parallelogram perpendicular produced PROOF PROOF.-Because Q.E.D. Proposition rectangle AD rectangle AE rectangle contained remaining angle right angle Const right angles Ax segment semicircle side BC square described square on AC touches the circle triangle ABC triangle DEF twice the rectangle
Populære passager
Side 37 - 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 equal to two right angles.
Side 13 - 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 to AC, and let the straight lines AB, AC be produced to D and E.
Side 7 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 17 - If two triangles have two sides of the one equal to two sides of the...
Side 53 - If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle.
Side 9 - 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...
Side 71 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Side 9 - Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another.
Side 34 - Wherefore, if a straight line, &c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two right angles ; the two straight lines shall be parallel to one another.
Side 69 - If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line, which is made up of the half and the part produced.