The First Six Books: Together with the Eleventh and TwelfthJ. Balfour, 1781 - 520 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 13
... produced ever fo far both ways , do not meet . Book I. LE POSTULATES . I. ET it be granted that a straight line may be drawn from any one point to any other point . II . i'lhat a terminated ftraight line may be produced to any length in ...
... produced ever fo far both ways , do not meet . Book I. LE POSTULATES . I. ET it be granted that a straight line may be drawn from any one point to any other point . II . i'lhat a terminated ftraight line may be produced to any length in ...
Σελίδα 14
... produced , fhall at length meet upon that fide on " which are the angles which are lefs than two right angles . " See the notes on Prop . 29. of Book I. " PROPO . T PROPOSITION I PROBLEM . O defcribe an equilateral triangle THE ELEMENTS ...
... produced , fhall at length meet upon that fide on " which are the angles which are lefs than two right angles . " See the notes on Prop . 29. of Book I. " PROPO . T PROPOSITION I PROBLEM . O defcribe an equilateral triangle THE ELEMENTS ...
Σελίδα 15
... produce the straight lines DA , DB , to E and F ; from the centre B , at the distance BC , defcribe the circle CGH , and from the centre D , at the distance DG , defcribe the circle GKL . AL hall be equal to BC . D a . 1. Poft . K H c ...
... produce the straight lines DA , DB , to E and F ; from the centre B , at the distance BC , defcribe the circle CGH , and from the centre D , at the distance DG , defcribe the circle GKL . AL hall be equal to BC . D a . 1. Poft . K H c ...
Σελίδα 17
... one another ; and , if the equal fides be produced , the angles upon the other fide of the bafe hall be equal . Let ABC be an Ifofceles triangle , of B h the fide AB is e- qual Book I. qual to AC , and let the ftraight OF EUCLID . 17.
... one another ; and , if the equal fides be produced , the angles upon the other fide of the bafe hall be equal . Let ABC be an Ifofceles triangle , of B h the fide AB is e- qual Book I. qual to AC , and let the ftraight OF EUCLID . 17.
Σελίδα 18
... produced to D and E , the angle ABC fhall be equal to the angle ACB , and the angle CBD to the angle BCE . a 3. 1 . b 4. I. C 3. Ax . In BD take any point F , and from AE , the greater , cut off AG equal to AF , the lefs , and join FC ...
... produced to D and E , the angle ABC fhall be equal to the angle ACB , and the angle CBD to the angle BCE . a 3. 1 . b 4. I. C 3. Ax . In BD take any point F , and from AE , the greater , cut off AG equal to AF , the lefs , and join FC ...
Άλλες εκδόσεις - Προβολή όλων
The First Six Books: Together with the Eleventh and Twelfth Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently cylinder defcribed demonftrated drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fide BC fides fimilar firft firſt folid angle fome fore fphere fquare of AC ftraight line AB ftraight line BC given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs likewife oppofite parallel parallelepipeds parallelogram perpendicular plane angles prifms PROP propofition pyramid ratio of BC rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC wherefore
Δημοφιλή αποσπάσματα
Σελίδα 472 - 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.