The First Six Books: Together with the Eleventh and TwelfthJ. Balfour, 1781 - 520 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 15
... ABC fhall be an equilateral triangle . Book I. a . 3. Poftu- late . A BE b . 2d . Poft , finition . Because the point A is the centre of the circle BCD , AC is equal to AB ; and because the point B is the centre of the c . 15th De ...
... ABC fhall be an equilateral triangle . Book I. a . 3. Poftu- late . A BE b . 2d . Poft , finition . Because the point A is the centre of the circle BCD , AC is equal to AB ; and because the point B is the centre of the c . 15th De ...
Σελίδα 17
... triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite , fhall be equal each to each , viz . the angle ABCB to the angle DEF , and the angle ACB to DFE . . Book 1 . A D CE F . For , if the ...
... triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite , fhall be equal each to each , viz . the angle ABCB to the angle DEF , and the angle ACB to DFE . . Book 1 . A D CE F . For , if the ...
Σελίδα 18
... ABC fhall be equal to the angle ACB , and the angle CBD to the angle BCE . a 3. 1 . b 4. I. 3. Ax . In BD take any point F , and from AE , the greater , cut off AG equal to AF , the ... ABC be a triangle having the angle ABC 18 THE ELEMENTS.
... ABC fhall be equal to the angle ACB , and the angle CBD to the angle BCE . a 3. 1 . b 4. I. 3. Ax . In BD take any point F , and from AE , the greater , cut off AG equal to AF , the ... ABC be a triangle having the angle ABC 18 THE ELEMENTS.
Σελίδα 21
... triangles that have their fides which are terminated in one extremity of the base equal to one another , and likewise ... triangle ABC , and bisect a 1 . the angle ACB by the ftraight line CD . AB is cut into two b 9. 1 . equal parts in ...
... triangles that have their fides which are terminated in one extremity of the base equal to one another , and likewise ... triangle ABC , and bisect a 1 . the angle ACB by the ftraight line CD . AB is cut into two b 9. 1 . equal parts in ...
Σελίδα 26
... triangle be produced , the exterior angle is greater than either of the interior opposite angles . Let ABC be a triangle , and let its fide BC be produced to D , the exterior angle ACD is greater than either of the interior oppofite ...
... triangle be produced , the exterior angle is greater than either of the interior opposite angles . Let ABC be a triangle , and let its fide BC be produced to D , the exterior angle ACD is greater than either of the interior oppofite ...
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
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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.