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 |
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Página xi
... four hundred and ninety - feventh part of the diameter of the circle , and of which the one is demonftrated to be greater than the circumference of that circle , and the other to be less . In the fame man- ner , the quadrature of the ...
... four hundred and ninety - feventh part of the diameter of the circle , and of which the one is demonftrated to be greater than the circumference of that circle , and the other to be less . In the fame man- ner , the quadrature of the ...
Página 4
... four straight lines . XVIII . Multilateral figures , or polygons , by more than four straight lines . ΧΙΧ . Of three fided figures , an equilateral triangle is that which has three equal fides . XX . An isofceles triangle is that which ...
... four straight lines . XVIII . Multilateral figures , or polygons , by more than four straight lines . ΧΙΧ . Of three fided figures , an equilateral triangle is that which has three equal fides . XX . An isofceles triangle is that which ...
Página 5
... four fided figures , a square is that which has all its fides equal , and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , but has not all its fides equal . XXVII . A rhombus , is that ...
... four fided figures , a square is that which has all its fides equal , and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , but has not all its fides equal . XXVII . A rhombus , is that ...
Página 18
... four tight angles . COR . 2. And hence , all the angles made by any number of lines meeting in tne point , are together equal to four right angles . C 2 PROP . 3 A * . Book I. Because AC is equal to CB , and OF GEOMETRY . , 10.
... four tight angles . COR . 2. And hence , all the angles made by any number of lines meeting in tne point , are together equal to four right angles . C 2 PROP . 3 A * . Book I. Because AC is equal to CB , and OF GEOMETRY . , 10.
Página 19
... four fight angles . COR . 2. And hence , all the angles made by any number of lines meeting in ċne point , are together equal to four right angles . PROP . C 2 3 A * . Book I. a 10. I. PRO P. XVI . THE OF GEOMETRY . 10.
... four fight angles . COR . 2. And hence , all the angles made by any number of lines meeting in ċne point , are together equal to four right angles . PROP . C 2 3 A * . Book I. a 10. I. PRO P. XVI . THE OF GEOMETRY . 10.
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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 adjacent angles alfo alfo equal 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 defcribed demonftrated diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle faid fame manner fame ratio fame reaſon fecond fection fegment femicircle fhewn fimilar fince firft firſt folid fore fquare of AC ftraight line AB fuch given ſtraight line greater impoffible infcribed interfection 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 ſpace ſpherical triangle ſquare tangent thefe THEOR theſe thoſe touches the circle triangle ABC wherefore
Pasajes populares
Página 18 - 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 155 - 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 17 - If, at a point in a straight line, two other straight lines upon the opposite sides of it, make the adjacent angles, together equal to two right angles, these two straight lines shall be in one and the same straight line.
Página 9 - Wherefore, from the given point A, a straight line AL has been drawn equal to the given straight line BC.
Página 3 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Página 23 - 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.
Página 12 - ABC: and it has also been proved that the angle FBC is equal to the angle GCB, which are the angles upon the other side of the base. Therefore the angles at the base, &c.
Página 6 - Let it be granted that a straight line may be drawn from any one point to any other point.
Página 156 - But by the hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are equal : And the angle at A is equal to the angle at D ; wherefore...
Página 44 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced...