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 σελίδες |
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Σελίδα vii
... third Book , the remarks concerning the angles made by a ftraight line , and the circumference of a circle , are left out , as tending to perplex one who has advanced no farther than the elements of the science . The 27th , 28th and ...
... third Book , the remarks concerning the angles made by a ftraight line , and the circumference of a circle , are left out , as tending to perplex one who has advanced no farther than the elements of the science . The 27th , 28th and ...
Σελίδα xiv
... third ; it may be replied , that this is no doubt a truth , which , without proof , most men will be inclined to admit ; but , are we for that reason to account it of no confequence to know what the propofitions are , which would cease ...
... third ; it may be replied , that this is no doubt a truth , which , without proof , most men will be inclined to admit ; but , are we for that reason to account it of no confequence to know what the propofitions are , which would cease ...
Σελίδα xvi
... XI . read Def . IX . Book V. Prop . XXIV . line third of the Demonstration , read Because E : B :: F : D , by inverfion , B : E :: C : D . P. 263. fourth line , for a , read two . ELEMENTS OF GEOMETRY . “ A BOOK I. DEFINITIONS .
... XI . read Def . IX . Book V. Prop . XXIV . line third of the Demonstration , read Because E : B :: F : D , by inverfion , B : E :: C : D . P. 263. fourth line , for a , read two . ELEMENTS OF GEOMETRY . “ A BOOK I. DEFINITIONS .
Σελίδα 10
... third fides , fhall be equal ; and the two triangles fhall be equal ; and their other angles fhall be equal , each to each , viz . thofe to which the equal fides are oppofite . A. D Let ABC , DEF be two triangles which have the two ...
... third fides , fhall be equal ; and the two triangles fhall be equal ; and their other angles fhall be equal , each to each , viz . thofe to which the equal fides are oppofite . A. D Let ABC , DEF be two triangles which have the two ...
Σελίδα 22
... third fide . Let ABC be a triangle ; any two fides of it together are greater than the third fide , viz . the fides BA , AC greater than the fide BC ; and AB , BC greater than AC ; and BC , CA greater than AB . Produce BA to the point D ...
... third fide . Let ABC be a triangle ; any two fides of it together are greater than the third fide , viz . the fides BA , AC greater than the fide BC ; and AB , BC greater than AC ; and BC , CA greater than AB . Produce BA to the point D ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Elements of Geometry: Containing the First Six Books of Euclid, With Two ... Formerly Chairman Department of Immunology John Playfair,John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 9 - Wherefore, from the given point A, a straight line AL has been drawn equal to the given straight line BC.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 6 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 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...
Σελίδα 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...