Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 σελίδες |
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Αποτελέσματα 1 - 5 από τα 11.
Σελίδα 35
... exterior angle will be greater than either of the interior and opposite angles . Let ABC be a triangle and let one side BC be produced to D ; the exterior angle ACD is greater than either of the inte- rior opposite angles CBA , BAC ...
... exterior angle will be greater than either of the interior and opposite angles . Let ABC be a triangle and let one side BC be produced to D ; the exterior angle ACD is greater than either of the inte- rior opposite angles CBA , BAC ...
Σελίδα 39
... exterior angle equal to the interior and opposite angle on the same side of the line , or make the two interior angles on the same side together equal to two right angles ; the two straight lines are parallel . Let the straight line EF ...
... exterior angle equal to the interior and opposite angle on the same side of the line , or make the two interior angles on the same side together equal to two right angles ; the two straight lines are parallel . Let the straight line EF ...
Σελίδα 40
... angle EGB is equal to GHD , and EGB is also equal to the angle AGH ( Prop . 15. ) , the angle AGH is equal to GHD ... exterior angle equal to the interior and opposite angle on the same side of it ; and likewise the two in- terior angles ...
... angle EGB is equal to GHD , and EGB is also equal to the angle AGH ( Prop . 15. ) , the angle AGH is equal to GHD ... exterior angle equal to the interior and opposite angle on the same side of it ; and likewise the two in- terior angles ...
Σελίδα 41
... exterior angle EGB is equal to the interior and opposite angle GHD ) on the same side of EF ; and the two in- terior angles BGH , GHD , on the same side , are together equal to two right angles . E If AGH be not equal to GHD , one of ...
... exterior angle EGB is equal to the interior and opposite angle GHD ) on the same side of EF ; and the two in- terior angles BGH , GHD , on the same side , are together equal to two right angles . E If AGH be not equal to GHD , one of ...
Σελίδα 42
... angle AGH is equal to GHF ( Prop . 29 ) ; A and because GK cuts the paral- lel lines EF , CD , the angle GHF is ... exterior angle is equal to the two interior and op- posite angles taken together . Let ABC be a triangle , and let a side ...
... angle AGH is equal to GHF ( Prop . 29 ) ; A and because GK cuts the paral- lel lines EF , CD , the angle GHF is ... exterior angle is equal to the two interior and op- posite angles taken together . Let ABC be a triangle , and let a side ...
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.