The First Six Books: Together with the Eleventh and TwelfthJ. Balfour, 1781 - 520 σελίδες |
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Αποτελέσματα 1 - 5 από τα 36.
Σελίδα 94
... two , it is a right angle , because the angle adjacent to it is equal to the fame two ; and when the ad- jacent angles are equal , they are right angles . a II . I. b 19. 3 . c 31.3 . d 32. I. e 22. 3 . IF PROP . XXXII . THEOR . [ F a ...
... two , it is a right angle , because the angle adjacent to it is equal to the fame two ; and when the ad- jacent angles are equal , they are right angles . a II . I. b 19. 3 . c 31.3 . d 32. I. e 22. 3 . IF PROP . XXXII . THEOR . [ F a ...
Σελίδα 119
... multiple of a lefs , when the greater is measured by the lefs , that is , when the greater • contains the less a certain number of times exactly . ” III . Ratio is a mutual relation of two magnitudes of the fame see N. kind to one ...
... multiple of a lefs , when the greater is measured by the lefs , that is , when the greater • contains the less a certain number of times exactly . ” III . Ratio is a mutual relation of two magnitudes of the fame see N. kind to one ...
Σελίδα 120
... multiple of the first be greater than that of the fecond , the multiple of the third is alfo greater than that of the fourth . VI . Magnitudes which have the fame ratio are called proportionals , N. B. When four magnitudes are ...
... multiple of the first be greater than that of the fecond , the multiple of the third is alfo greater than that of the fourth . VI . Magnitudes which have the fame ratio are called proportionals , N. B. When four magnitudes are ...
Σελίδα 123
... multiple of a greater magnitude is greater than the fame multiple of a lefs . IV . That magnitude of which a multiple is greater than the fame multiple of another , is greater than that other magnitude . I ' PROP . I. THEOR . F any ...
... multiple of a greater magnitude is greater than the fame multiple of a lefs . IV . That magnitude of which a multiple is greater than the fame multiple of another , is greater than that other magnitude . I ' PROP . I. THEOR . F any ...
Σελίδα 124
... fame multiple of the fe- cond that the third is of the fourth , and the fifth the fame multiple of the fecond that the fixth is of the fourth ; then fhall the first together with the fifth be the fame multiple of the fecond , that the ...
... fame multiple of the fe- cond that the third is of the fourth , and the fifth the fame multiple of the fecond that the fixth is of the fourth ; then fhall the first together with the fifth be the fame multiple of the fecond , that the ...
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
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe bifected Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples excefs fame fame multiple fecond fegment fhall fides fimilar firft folid folid angle fore four fourth fquare fquare of AC ftraight line given angle given in fpecies given in pofition given magnitude given ratio greater Greek half join lefs magnitude meet oppofite parallel parallelogram perpendicular plane prifms produced PROP propofition proportionals pyramid rectangle rectangle contained remaining right angles Take taken thefe THEOR theſe third triangle ABC wherefore whole
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.