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 sider |
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Resultat 6-10 av 10
Side 380
... Such a language , therefore , I have endeavoured to introduce here ; and , I am convinced , that if it fhall be found an improvement , it is the only one of which the fifth of Eu- clid will admit . In other refpects I have followed clid ...
... Such a language , therefore , I have endeavoured to introduce here ; and , I am convinced , that if it fhall be found an improvement , it is the only one of which the fifth of Eu- clid will admit . In other refpects I have followed clid ...
Side 385
... such cases the demonftration which we have given , and which B is the fame with Euclid's , D will no longer apply . Indeed , it were eafy to fhew , that on bafes of this kind , by multiplying the number of fides , folid angles Book VII ...
... such cases the demonftration which we have given , and which B is the fame with Euclid's , D will no longer apply . Indeed , it were eafy to fhew , that on bafes of this kind , by multiplying the number of fides , folid angles Book VII ...
Side 390
... Such is the Prop . C , which Dr Simfon has introduced into the 11th of Euclid , with a view of fupplying the defects of Euclid's method . The propoftion is , that " folid figures contained by the fame number of equal and fimilar planes ...
... Such is the Prop . C , which Dr Simfon has introduced into the 11th of Euclid , with a view of fupplying the defects of Euclid's method . The propoftion is , that " folid figures contained by the fame number of equal and fimilar planes ...
Side 396
... and 1 C : D : cd , then we cannot have A + C : B + D : a + c : b + d , unless either , A : C :: a : c , and B : Db : d ; or A : C :: b : d , and confequently a b : c ; d . Take Take a magnitude K , such that a : c 396 NOTES .
... and 1 C : D : cd , then we cannot have A + C : B + D : a + c : b + d , unless either , A : C :: a : c , and B : Db : d ; or A : C :: b : d , and confequently a b : c ; d . Take Take a magnitude K , such that a : c 396 NOTES .
Side 397
... such that a : c :: A : K , and another Book VIII . L , fuch that b : d :: B : L ; and fuppofe it true , that A + C : B + D :: a + c : b + d . Then , because by inverfion , K : A :: c : a , and , by hypothefis , A : B :: a : b , and alfo ...
... such that a : c :: A : K , and another Book VIII . L , fuch that b : d :: B : L ; and fuppofe it true , that A + C : B + D :: a + c : b + d . Then , because by inverfion , K : A :: c : a , and , by hypothefis , A : B :: a : b , and alfo ...
Andre utgaver - Vis alle
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... Euclid,John Playfair Uten tilgangsbegrensning - 1795 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Ingen forhåndsvisning tilgjengelig - 2015 |
Elements of Geometry: Containing the First Six Books of Euclid, With Two ... Formerly Chairman Department of Immunology John Playfair,John Playfair Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 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.
Side 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.
Side 9 - Wherefore, from the given point A, a straight line AL has been drawn equal to the given straight line BC.
Side 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.
Side 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.
Side 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.
Side 6 - Let it be granted that a straight line may be drawn from any one point to any other point.
Side 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...
Side 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...