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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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα xi
... greater than the circumference of that circle , and the other to be less . In the fame man- ner , the quadrature of the circle is performed only by approximation , or by finding two rect- angles , nearly equal to one another , the one ...
... greater than the circumference of that circle , and the other to be less . In the fame man- ner , the quadrature of the circle is performed only by approximation , or by finding two rect- angles , nearly equal to one another , the one ...
Σελίδα xiv
... greater than the third , neither could it be true , that the great- er fide of every triangle is oppofite to the greater angle , nor that the equal fides are oppofite to equal angles , nor , laftly , that things equal to the fame thing ...
... greater than the third , neither could it be true , that the great- er fide of every triangle is oppofite to the greater angle , nor that the equal fides are oppofite to equal angles , nor , laftly , that things equal to the fame thing ...
Σελίδα 9
... greater . It is required to cut off from AB , the greater , a part equal to C , the less . From the point A draw a the ftraight line AD equal to C ; and from the centre A , and at the distance AD , defcribe b the circle DEF ; and ...
... greater . It is required to cut off from AB , the greater , a part equal to C , the less . From the point A draw a the ftraight line AD equal to C ; and from the centre A , and at the distance AD , defcribe b the circle DEF ; and ...
Σελίδα 12
... greater than 13. 1. the other : Let AB be the greater , and from it cut a off DB e- qual to AC , the lefs , and join DC ; there- fore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two fides DB ...
... greater than 13. 1. the other : Let AB be the greater , and from it cut a off DB e- qual to AC , the lefs , and join DC ; there- fore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two fides DB ...
Σελίδα 13
... greater than the angle BCD ; therefore the A angle ADC is greater also than B BCD ; much more then is the angle BDC greater than the angle BCD . Again , because CB is equal to DB , the angle BDC is equal a to the angle BCD ; but it has ...
... greater than the angle BCD ; therefore the A angle ADC is greater also than B BCD ; much more then is the angle BDC greater than the angle BCD . Again , because CB is equal to DB , the angle BDC is equal a to the angle BCD ; but it has ...
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...