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 6
Página 204
... angles of inclination are equal to one another . VI . Parallel planes are fuch as do not meet one another though produced . 117 2008 VII . A Solid is that which has length , breadth , and thickness . VIII . 1 See N. A folid angle is ...
... angles of inclination are equal to one another . VI . Parallel planes are fuch as do not meet one another though produced . 117 2008 VII . A Solid is that which has length , breadth , and thickness . VIII . 1 See N. A folid angle is ...
Página 223
... angles DAB , DAC ; therefore BAC , with either of them , is greater than the other . Wherefore , if a solid angle , & c . Q. E. D. E PRO P. XX . THEOR . VERY folid angle is contained by plane angles which together are lefs than four right ...
... angles DAB , DAC ; therefore BAC , with either of them , is greater than the other . Wherefore , if a solid angle , & c . Q. E. D. E PRO P. XX . THEOR . VERY folid angle is contained by plane angles which together are lefs than four right ...
Página 233
... Solids. To which are Added, Elements of Plane and Spherical Trigonometry Euclid, John ... angle ALB be equal to the angle CLD ; then AL , LD are in a ftraight line b . Produce OD , HB , and let them meet in Q , b 14. I. and complete the solid ...
... Solids. To which are Added, Elements of Plane and Spherical Trigonometry Euclid, John ... angle ALB be equal to the angle CLD ; then AL , LD are in a ftraight line b . Produce OD , HB , and let them meet in Q , b 14. I. and complete the solid ...
Página 234
... solid CF. But let the folid parallelepipeds SE , CF be upon equal bafes SB , CD , and be of the fame altitude , and let their in- fifting ftraight lines be at right angles to the bafes ; and place he bases SB , CD in the fame plane , so ...
... solid CF. But let the folid parallelepipeds SE , CF be upon equal bafes SB , CD , and be of the fame altitude , and let their in- fifting ftraight lines be at right angles to the bafes ; and place he bases SB , CD in the fame plane , so ...
Página 385
... solid angle differs from every other magnitude that is the fubject of mathematical reason- ing , all of which have this common property , that multiples and fubmultiples of them may be found . It is not our bufi- nefs here to enquire ...
... solid angle differs from every other magnitude that is the fubject of mathematical reason- ing , all of which have this common property , that multiples and fubmultiples of them may be found . It is not our bufi- nefs here to enquire ...
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 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...