Elements of Geometry;: Containing the First Six Books of Euclid, with Two Books on the Geometry of Solids. To which are Added, Elements of Plane and Spherical TrigonometryBell & Bradfute, and G. G. & J. Robinson, London., 1795 - 400 páginas |
Dentro del libro
Resultados 1-5 de 56
Página 6
... taken from equals , the remainders are equaf . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remainders are unequal . VI . Things which are double of the fame , I VI . 6 ...
... taken from equals , the remainders are equaf . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remainders are unequal . VI . Things which are double of the fame , I VI . 6 ...
Página 71
... taken in the circumference of a circle , the ftraight line which joins them fhall fall within the circle . F 4 Let * N. B. Whenever the expreffion " ftraight lines from the centre , " or " drawn from the centre , " occurs , it is to be ...
... taken in the circumference of a circle , the ftraight line which joins them fhall fall within the circle . F 4 Let * N. B. Whenever the expreffion " ftraight lines from the centre , " or " drawn from the centre , " occurs , it is to be ...
Página 75
... taken in the diameter of a circle which is not the centre , of all the ftraight lines which can be drawn from it to the circumference , the greatest is that in which the centre is , and the other part of that diameter is the leaft ; and ...
... taken in the diameter of a circle which is not the centre , of all the ftraight lines which can be drawn from it to the circumference , the greatest is that in which the centre is , and the other part of that diameter is the leaft ; and ...
Página 76
... nearer to that which paffes through the centre , is equal to one which is more re- mote , which is impoffible . Therefore , if any point be taken , & c . Q. E. D. PROP . ALL Book III . ་་་ ར་ མི་ PROP . VII . 76 ELEMENTS.
... nearer to that which paffes through the centre , is equal to one which is more re- mote , which is impoffible . Therefore , if any point be taken , & c . Q. E. D. PROP . ALL Book III . ་་་ ར་ མི་ PROP . VII . 76 ELEMENTS.
Página 77
... taken without the circumference . Fany point be taken without a circle , and ftraight whereof one paffes through the centre ; of those which fall upon the concave circumference , the greatest is that which paffes through the centre ...
... taken without the circumference . Fany point be taken without a circle , and ftraight whereof one paffes through the centre ; of those which fall upon the concave circumference , the greatest is that which paffes through the centre ...
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Sin vista previa disponible - 2015 |
Términos y frases comunes
ABCD alfo alſo angle ABC angle ACB angle BAC arch bafe baſe BC is equal becauſe the angle bifected Book VII cafe centre circle ABC circumference co-fine cylinder defcribed demonftrated diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle faid fame manner fame plane fame ratio fame reaſon fecond fegment femicircle fhall fhewn fimilar fince firft firſt folid fore fquare of AC ftraight line AB fuch given ftraight line gnomon greater impoffible infcribed interfect join lefs leſs Let ABC line BC magnitudes muſt oppofite angle parallel parallelepiped parallelogram perpendicular polygon prifm propofition proportionals radius rectangle contained rectilineal figure remaining angle right angles ſhall ſpace ſquare tangent thefe THEOR theſe thoſe touches the circle triangle ABC wherefore