The First Six Books: Together with the Eleventh and TwelfthJ. Balfour, 1781 - 520 páginas |
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Página 32
... one equal to two angles of the other , each to each ; and one fide e- qual to one fide , viz . either the fides adjacent to the equal angles , or the fides oppofite to equal angles in each ; then fhall the other fides be equal , each to ...
... one equal to two angles of the other , each to each ; and one fide e- qual to one fide , viz . either the fides adjacent to the equal angles , or the fides oppofite to equal angles in each ; then fhall the other fides be equal , each to ...
Página 113
... one equal to two angles of the other , each to each , and the fide FC , which is adjacent to the equal angles in each , is common to both ; therefore the other fides fhall be equal to the other fides , and g 26. 1 . the third angle to ...
... one equal to two angles of the other , each to each , and the fide FC , which is adjacent to the equal angles in each , is common to both ; therefore the other fides fhall be equal to the other fides , and g 26. 1 . the third angle to ...
Página 200
... one equal to two angles of the other , each to each , and the fides AE , EB , adjacent to the equal angles , equal to one another ; where- fore they fhall have their other fides equal : GE is therefore equal b 4. I. ~ F d 8. L. equal to ...
... one equal to two angles of the other , each to each , and the fides AE , EB , adjacent to the equal angles , equal to one another ; where- fore they fhall have their other fides equal : GE is therefore equal b 4. I. ~ F d 8. L. equal to ...
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 81 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of...
Página 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.
Página 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.
Página 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.
Página 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.
Página 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...
Página 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...
Página 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.