The First Six Books: Together with the Eleventh and TwelfthJ. Balfour, 1781 - 520 σελίδες |
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Αποτελέσματα 1 - 5 από τα 76.
Σελίδα 6
... folid angles of the Figures is contained by no more than three plane Angles ; for , in other Cafes , two folid Figures may be contained by fimilar Planes of the fame Number and Mag- nitude , and yet be unequal to one another ; as fhall ...
... folid angles of the Figures is contained by no more than three plane Angles ; for , in other Cafes , two folid Figures may be contained by fimilar Planes of the fame Number and Mag- nitude , and yet be unequal to one another ; as fhall ...
Σελίδα 196
... folid is a fuperficies . III . A ftraight line is perpendicular , or at right angles to a plane , when it makes right angles with every straight line meeting it in that plane . IV . A plane is perpendicular to a plane , when the ...
... folid is a fuperficies . III . A ftraight line is perpendicular , or at right angles to a plane , when it makes right angles with every straight line meeting it in that plane . IV . A plane is perpendicular to a plane , when the ...
Σελίδα 197
... folid figures are fuch as have all their folid angles equal , See N. each to each , and which are contained by the fame number of fimilar planes . XII . A pyramid is a folid figure contained by planes that are confti- tuted betwixt one ...
... folid figures are fuch as have all their folid angles equal , See N. each to each , and which are contained by the fame number of fimilar planes . XII . A pyramid is a folid figure contained by planes that are confti- tuted betwixt one ...
Σελίδα 198
... folid figure defcribed by the revolution of a right angled parallelogram about one of its fides which re- mains ... folid figure contained by fix equal fquares . A tetrahedron is a folid figure contained by four equal and e- quilateral ...
... folid figure defcribed by the revolution of a right angled parallelogram about one of its fides which re- mains ... folid figure contained by fix equal fquares . A tetrahedron is a folid figure contained by four equal and e- quilateral ...
Σελίδα 213
... folid angle at A be contained by the three plane an- gles BAC , CAD , DAB . Any two of them are greater than the ... folid angle , & c . Q. E. D. E PROP . XXI . THEOR . VERY folid angle is contained by plain angles which together are ...
... folid angle at A be contained by the three plane an- gles BAC , CAD , DAB . Any two of them are greater than the ... folid angle , & c . Q. E. D. E PROP . XXI . THEOR . VERY folid angle is contained by plain angles which together are ...
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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.