Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 σελίδες |
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Σελίδα
... bisect each other , & For angled read angles For , read . For contains read contain For --- ABDE read = } AB— \ DE For time read times Add , Algebraically . Let a denote the great- er part , and the less ; then a + x is the sum of the ...
... bisect each other , & For angled read angles For , read . For contains read contain For --- ABDE read = } AB— \ DE For time read times Add , Algebraically . Let a denote the great- er part , and the less ; then a + x is the sum of the ...
Σελίδα 29
... also the angle BAC is equal to EDF . Hence the triangles ABC , DEF are equal in all re- spects ( 4. 1. ) . Wherefore , if two triangles & c . Q. E. D. PROPOSITION IX . PROBLEM . To bisect a given rectilineal GEOMETRY . 29 BOOK I.
... also the angle BAC is equal to EDF . Hence the triangles ABC , DEF are equal in all re- spects ( 4. 1. ) . Wherefore , if two triangles & c . Q. E. D. PROPOSITION IX . PROBLEM . To bisect a given rectilineal GEOMETRY . 29 BOOK I.
Σελίδα 30
... bisect a given rectilineal angle ; that is , to di- vide it into two equal angles . Let BAC be the given rectilineal angle ; it is required to bisect it . Take any point D in AB , and from AC cut off AE equal to AD ( 3. 1. ) ; join DE ...
... bisect a given rectilineal angle ; that is , to di- vide it into two equal angles . Let BAC be the given rectilineal angle ; it is required to bisect it . Take any point D in AB , and from AC cut off AE equal to AD ( 3. 1. ) ; join DE ...
Σελίδα 31
... bisect the vertical angle of an equila- teral or an isosceles triangle , it will also bisect the base at right angles . For the triangles ACD , BCD are equal in all respects . PROPOSITION XI . PROBLEM . To draw a straight line at right ...
... bisect the vertical angle of an equila- teral or an isosceles triangle , it will also bisect the base at right angles . For the triangles ACD , BCD are equal in all respects . PROPOSITION XI . PROBLEM . To draw a straight line at right ...
Σελίδα 32
... bisect FG in H ( 10. 1. ) , and draw CF , CH , CG ; the A straight line CH , drawn from the given point C , is E H B D perpendicular to the given straight line AB . Because FH is equal to HG , and HC is common to the two triangles FHC ...
... bisect FG in H ( 10. 1. ) , and draw CF , CH , CG ; the A straight line CH , drawn from the given point C , is E H B D perpendicular to the given straight line AB . Because FH is equal to HG , and HC is common to the two triangles FHC ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry Formerly Chairman Department of Immunology John Playfair,John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal ABCD alternate angles angle ABC angle ACB angle BAC angles AGH angles equal base ABC bases and altitudes bisect centre chord circumference cone Consequently cylinder demonstrations described diagonals diameter divided draw equal angles equal arches equal bases equal circles equal to AC equiangular Euclid's Euclid's Elements exterior angle fore four quantities four right angles geometry given point given straight line gles greater Hence homologous sides intersect KLMN Let ABC meet opposite angles opposite side paral parallel lines parallel to CD parallelogram parallelopipeds perp perpendicular plane polygon prism Prop pyramid Q. E. D. COR Q. E. D. PROPOSITION radius rectangle contained right angled triangle Scholium segments semicircle side AC similar similar triangles solid square straight line &c subtended tangent THEOREM triangle ABC vertex wherefore
Δημοφιλή αποσπάσματα
Σελίδα 36 - Any two sides of a triangle are together greater than the third side.
Σελίδα 80 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Σελίδα 42 - 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...
Σελίδα 30 - To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts.
Σελίδα 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Σελίδα 113 - Wherefore also the angle BAD is equal to the angle CAD : Therefore the angle BAC is cut into two equal angles by the straight line AD.
Σελίδα 24 - DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide...
Σελίδα 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.