The Elements of Euclid [book 1] for beginners, by J. Lowres1852 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 29
... parallel to a c ( Prop . 31. ) : then , because the line BC falls upon the parallels ac and BC , the alternate angles ACB and EBC are equal ( Prop . 29. ) ; also , because AD falls upon the same parallels , the angle EBD is equal to the ...
... parallel to a c ( Prop . 31. ) : then , because the line BC falls upon the parallels ac and BC , the alternate angles ACB and EBC are equal ( Prop . 29. ) ; also , because AD falls upon the same parallels , the angle EBD is equal to the ...
Σελίδα 30
... parallel lines , are themselves equal and parallel . Let AB and CD be two equal and parallel lines ; the right lines ... BC is common to both , and the angle A B C is equal to B CD ; therefore the side a c is equal to BD ( Prop . 4. ) , and ...
... parallel lines , are themselves equal and parallel . Let AB and CD be two equal and parallel lines ; the right lines ... BC is common to both , and the angle A B C is equal to B CD ; therefore the side a c is equal to BD ( Prop . 4. ) , and ...
Σελίδα 31
... BC , and between the same parallels AF and BC ; they are equal to one B another . C L B C L B с L For , produce the ... parallel ( Hyp . ) ; therefore BE and CH are also equal and parallel ( Prop . 33. ) ; therefore BCHE is a ...
... BC , and between the same parallels AF and BC ; they are equal to one B another . C L B C L B с L For , produce the ... parallel ( Hyp . ) ; therefore BE and CH are also equal and parallel ( Prop . 33. ) ; therefore BCHE is a ...
Σελίδα 32
... B C , and between the same parallels B C and AD : they are equal . B E P C Through the point c draw the line CE parallel to BA ( Prop . 31. ) , and through B draw BF parallel to CD : then the parallelograms ABCE and FBCD are equal ...
... B C , and between the same parallels B C and AD : they are equal . B E P C Through the point c draw the line CE parallel to BA ( Prop . 31. ) , and through B draw BF parallel to CD : then the parallelograms ABCE and FBCD are equal ...
Σελίδα 33
... parallel to BC , draw through A a line AF parallel to BC ( Prop . 31. ) , cutting BD or BD produced in F : join CF ; then , because the triangles BAC and BFC are upon the same base BC , and between the same parallels BC and AF , they ...
... parallel to BC , draw through A a line AF parallel to BC ( Prop . 31. ) , cutting BD or BD produced in F : join CF ; then , because the triangles BAC and BFC are upon the same base BC , and between the same parallels BC and AF , they ...
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.