The Elements of Euclid [book 1] for beginners, by J. Lowres1852 |
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Side 11
... obtained by drawing right lines from A and B to the point G , in which the circles cut at the other side of the line AB , which can be demon- strated in the same manner . PROF . II . PROB . From a given point PROPOSITIONS . 11.
... obtained by drawing right lines from A and B to the point G , in which the circles cut at the other side of the line AB , which can be demon- strated in the same manner . PROF . II . PROB . From a given point PROPOSITIONS . 11.
Side 17
... , and it is drawn from the point c . Which was to be done . COR . In like manner a perpendicular can be drawn from the extremity of a given line , by first producing the line . B PROP . XII . PROB . To draw a right PROP . X. XI . 17.
... , and it is drawn from the point c . Which was to be done . COR . In like manner a perpendicular can be drawn from the extremity of a given line , by first producing the line . B PROP . XII . PROB . To draw a right PROP . X. XI . 17.
Side 19
... manner it can be proved that no other line but BC can form a right line with AB : therefore A B and BC form one continued right line . W. W. D. PROP . XV . THEOR . If two right lines cut one another , the vertical or opposite angles are ...
... manner it can be proved that no other line but BC can form a right line with AB : therefore A B and BC form one continued right line . W. W. D. PROP . XV . THEOR . If two right lines cut one another , the vertical or opposite angles are ...
Side 20
... manner , if the side CB be produced and AB be bisected , it can be shown that the angle ABG is greater than the interior angle CAB ; but ABG is equal to CBD , being vertical angles ( Prop . 15. ) ; therefore CBD is also greater Which ...
... manner , if the side CB be produced and AB be bisected , it can be shown that the angle ABG is greater than the interior angle CAB ; but ABG is equal to CBD , being vertical angles ( Prop . 15. ) ; therefore CBD is also greater Which ...
Side 22
... manner , by bisecting any other angle , it can be shown that the sides containing it are greater than the third side . W. W.D. PROP . XXI . THEOR . Two right lines drawn from the ends of one side of a triangle to a point within it , are ...
... manner , by bisecting any other angle , it can be shown that the sides containing it are greater than the third side . W. W.D. PROP . XXI . THEOR . Two right lines drawn from the ends of one side of a triangle to a point within it , are ...
Andre utgaver - Vis alle
The Elements of Euclid [Book 1] for Beginners, by J. Lowres Joseph Butler,Thomas Codrington,Euclides Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid [book 1] for Beginners, by J. Lowres Joseph Butler,Thomas Codrington,Euclides Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid [book 1] for Beginners, by J. Lowres Joseph Butler,Thomas Codrington,Euclides Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
A B and C D A B is equal ABC and ABD ABCD adjacent angles alternate angles angle ABC angle BAC angle equal angle opposite angles AGF angles CAB angles DBA base BC BC is equal BD Prop BGF and EHD bisect coincide DBC are equal demonstrated describe an equilateral diagonal draw EHD are equal equal Ax equal bases equal Hyp equal Prop equal sides equal to CD equal triangles equilateral triangle EUCLID's ELEMENTS exterior given angle given line given point greater than AC hypotenuse interior angles interior opposite angle isosceles triangle join Let the line line BC lines A B parallel Prop parallel to BC parallelogram perpendicular price One Shilling PROB produced proposition rectilineal figure respectively equal right angles Prop SCHOL side A B sides AB sides BC THEOR triangle ABC triangles are equal Twickenham vertex W. W. D. PROP
Populære avsnitt
Side 10 - Things which are halves of the same are equal to one another. 8. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Side 10 - Things which are equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. Things which coincide with one another are equal to one another.
Side 40 - 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.
Side 10 - 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...
Side 10 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 39 - 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 20 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Side 29 - 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 22 - Any two sides of a triangle are together greater than the third side.
Side 10 - Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal.