The First Six Books: Together with the Eleventh and TwelfthJ. Balfour, 1781 - 520 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 11.
Σελίδα 367
... given in magni II . can A ratio is faid to be given , when a ratio of a given magnitude to a given magnitude which ... position , and a straight line from it to the circumference is given in magnitude . VII . Segments of circles are faid ...
... given in magni II . can A ratio is faid to be given , when a ratio of a given magnitude to a given magnitude which ... position , and a straight line from it to the circumference is given in magnitude . VII . Segments of circles are faid ...
Σελίδα 388
... given in po- fition and magnitude be given ; the other extremity fhall also be given . Let the point A be given , to ... position . Through A draw the ftraight line . DAE parallel to BC ; the ftraight D line DAE has always the fame pofi ...
... given in po- fition and magnitude be given ; the other extremity fhall also be given . Let the point A be given , to ... position . Through A draw the ftraight line . DAE parallel to BC ; the ftraight D line DAE has always the fame pofi ...
Σελίδα 390
... position . Let A be a given point , and BC a ftraight line given in pof- tion , a ftraight line given in magnitude drawn from the point A to BC is given in pofition . A E C Because the flraight line ... given point given 390 EUCLID's с ...
... position . Let A be a given point , and BC a ftraight line given in pof- tion , a ftraight line given in magnitude drawn from the point A to BC is given in pofition . A E C Because the flraight line ... given point given 390 EUCLID's с ...
Σελίδα 391
... given point A to a ftraight line BC given in position . IF PROP . XXXV . F a ftraight line be drawn between two parallel straight lines given in pofition , and makes given angles with them , the ftraight line is given in magnitude . Let ...
... given point A to a ftraight line BC given in position . IF PROP . XXXV . F a ftraight line be drawn between two parallel straight lines given in pofition , and makes given angles with them , the ftraight line is given in magnitude . Let ...
Σελίδα 393
... given angle ADC ; HG is given in pofition ; but it is given b 32. dat . alfo in magnitude , because it is equal to ... position , in a given angle EKC ; EK is A F H B 1 € 31. dat . 34 E FH B E C KG D C G K D given in pofition ; and AB ...
... given angle ADC ; HG is given in pofition ; but it is given b 32. dat . alfo in magnitude , because it is equal to ... position , in a given angle EKC ; EK is A F H B 1 € 31. dat . 34 E FH B E C KG D C G K D given in pofition ; and AB ...
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.