The First Six Books: Together with the Eleventh and TwelfthJ. Balfour, 1781 - 520 σελίδες |
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Αποτελέσματα 1 - 5 από τα 66.
Σελίδα 68
... circle is the figure con- tained by a straight line and the cir- cumference it cuts off . VII . " The angle of a ... ABC be the given circle ; it is required to find its centre . Draw within it any ftraight line AB , and bife & ta it in ...
... circle is the figure con- tained by a straight line and the cir- cumference it cuts off . VII . " The angle of a ... ABC be the given circle ; it is required to find its centre . Draw within it any ftraight line AB , and bife & ta it in ...
Σελίδα 69
... circle . Let ABC be a circle , and A , B any two points in the cir cumference ; the ftraight line drawn from A to B fhall fall within the circle . For , if it do not , let it fall , if possi- ble , without , as AEB ; find D the cen tre ...
... circle . Let ABC be a circle , and A , B any two points in the cir cumference ; the ftraight line drawn from A to B fhall fall within the circle . For , if it do not , let it fall , if possi- ble , without , as AEB ; find D the cen tre ...
Σελίδα 71
... circle two straight lines cut one another which do not both pass through the centre , they do not bifect each the other . Let ABCD be a circle , and AC , BD two straight lines in it which cut one another in the point E , and do not both ...
... circle two straight lines cut one another which do not both pass through the centre , they do not bifect each the other . Let ABCD be a circle , and AC , BD two straight lines in it which cut one another in the point E , and do not both ...
Σελίδα 72
... circles ABC , CDE , touch one another internal- ly in the point C : They have not the fame centre . For , if they can , let it be F ; join FC and draw any straight line FEB meeting them in E and B ; And because F is the centre of the circle ...
... circles ABC , CDE , touch one another internal- ly in the point C : They have not the fame centre . For , if they can , let it be F ; join FC and draw any straight line FEB meeting them in E and B ; And because F is the centre of the circle ...
Σελίδα 73
... ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : Let the centre be E ; of all the straight lines FB , FC , FG , & c . that can be drawn from F to the circumference , FA is the greateft ...
... ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : Let the centre be E ; of all the straight lines FB , FC , FG , & c . that can be drawn from F to the circumference , FA is the greateft ...
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The First Six Books: Together with the Eleventh and Twelfth Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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Δημοφιλή αποσπάσματα
Σελίδα 474 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Σελίδα 170 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 81 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of...
Σελίδα 105 - DEF are likewise equal (13. i.) to two right angles ; therefore the angles AKB, AMB are equal to the angles DEG, DEF, of which AKB is equal to DEG ; wherefore the remaining angle AMB is equal to the remaining angle DEF.
Σελίδα 167 - AC the same multiple of AD, that AB is of the part which is to be cut off from it : join BC, and draw DE parallel to it : then AE is the part required to be cut off.
Σελίδα 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 62 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Σελίδα 112 - To describe an equilateral and equiangular pentagon about a given circle. • Let ABCDE be the given circle; it is required to describe an equilateral and equiangular pentagon about the circle ABCDE. Let the angles of a pentagon, inscribed in the circle...
Σελίδα 200 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Σελίδα 38 - F, which is the common vertex of the triangles ; that is, together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.