The Elements of Euclid [book 1] for beginners, by J. Lowres1852 |
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Αποτελέσματα 1 - 5 από τα 11.
Σελίδα 14
... Take any point F , in one of the sides pro- duced , and cut off from the other a part BG equal to BF ( Prop . 3. ) : join AG and FC . Then in the triangles FCB and G A B , the sides FB and BC in the one , are equal to the sides ...
... Take any point F , in one of the sides pro- duced , and cut off from the other a part BG equal to BF ( Prop . 3. ) : join AG and FC . Then in the triangles FCB and G A B , the sides FB and BC in the one , are equal to the sides ...
Σελίδα 16
... Take any point D in the side a B , and from AC cut off a part A E equal to A D ( Prop . 3. ) : join DE , and upon it describe an equilateral triangle DEF ( Prop . 1. ) at the side opposite to A ; join A F ; then the angle BAC or DAE is ...
... Take any point D in the side a B , and from AC cut off a part A E equal to A D ( Prop . 3. ) : join DE , and upon it describe an equilateral triangle DEF ( Prop . 1. ) at the side opposite to A ; join A F ; then the angle BAC or DAE is ...
Σελίδα 17
... Take any point D in AC , and cut off from CB a part CF equal to CD ( Prop.3 . ) , A and upon DF describe an equilateral triangle DFG ( Prop . 1. ) ; join & c ; then the line GC is dicular to A B. F B perpen- For in the triangles CDG and ...
... Take any point D in AC , and cut off from CB a part CF equal to CD ( Prop.3 . ) , A and upon DF describe an equilateral triangle DFG ( Prop . 1. ) ; join & c ; then the line GC is dicular to A B. F B perpen- For in the triangles CDG and ...
Σελίδα 18
... Take any point D , on the other side of A B , and from the centre c , with the radius CD , describe a circle cutting the line AB , A C E G F B Ꭰ or the line produced in the points E and F ; bisect EF in the point & ( Prop . 10. ) , and ...
... Take any point D , on the other side of A B , and from the centre c , with the radius CD , describe a circle cutting the line AB , A C E G F B Ꭰ or the line produced in the points E and F ; bisect EF in the point & ( Prop . 10. ) , and ...
Σελίδα 19
... Take away the angle DBA , which is common to both , and the remaining angles DBE and DBC are equal ( Ax . 3. ) , a part equal to the whole which is absurd ; therefore BE does not form a right line with AB ; and in the same manner it can ...
... Take away the angle DBA , which is common to both , and the remaining angles DBE and DBC are equal ( Ax . 3. ) , a part equal to the whole which is absurd ; therefore BE does not form a right line with AB ; and in the same manner it can ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of Euclid [Book 1] for Beginners, by J. Lowres Joseph Butler,Thomas Codrington,Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
The Elements of Euclid [book 1] for Beginners, by J. Lowres Joseph Butler,Thomas Codrington,Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
The Elements of Euclid [book 1] for Beginners, by J. Lowres Joseph Butler,Thomas Codrington,Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 10 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 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.
Σελίδα 20 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Σελίδα 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.
Σελίδα 22 - Any two sides of a triangle are together greater than the third side.
Σελίδα 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.