Elements of Geometry;: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids; to which are Added, Elements of Plane and Spherical TrigonometryBell & Bradfute, 1804 - 440 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 88.
Σελίδα 3
... centre of the circle . XIII . A diameter of a circle is a ftraight line drawn through the centre , and terminated both ways by the circumference . XIV . A femicircle is the figure contained by a diameter and the part of the ...
... centre of the circle . XIII . A diameter of a circle is a ftraight line drawn through the centre , and terminated both ways by the circumference . XIV . A femicircle is the figure contained by a diameter and the part of the ...
Σελίδα 6
... centre , at any distance from that centre . AXIOM S. I. HINGS which are equal to the fame thing are equal to one another . N. THI II . If equals be added to equals , the wholes are equal . III . If equals be taken from equals , the ...
... centre , at any distance from that centre . AXIOM S. I. HINGS which are equal to the fame thing are equal to one another . N. THI II . If equals be added to equals , the wholes are equal . III . If equals be taken from equals , the ...
Σελίδα 8
... centre A , at the distance AB , de- a 3. Poftu- fcribe the circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and D from the point C , in which the circles cut one another , draw the straight b1 . Poft ...
... centre A , at the distance AB , de- a 3. Poftu- fcribe the circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and D from the point C , in which the circles cut one another , draw the straight b1 . Poft ...
Σελίδα 9
... centre B , at the diftance BC , defcribed the circle CGH , and from the centre D , at the distance DG , defcribe the circle GKL . AL fhall be equal to BC . Because the point B is the centre of the circle CGH , BC is equal e to BG ; and ...
... centre B , at the diftance BC , defcribed the circle CGH , and from the centre D , at the distance DG , defcribe the circle GKL . AL fhall be equal to BC . Because the point B is the centre of the circle CGH , BC is equal e to BG ; and ...
Σελίδα 17
... centre C , at H D B Book I. a 3. Poft . the distance CD , defcribe a the circle EGF meeting AB in F , G ; and bifect b FG in bio . 1 . H , and join CF , CH , CG ; the straight line CH , drawn from the given point C , is perpendicular to ...
... centre C , at H D B Book I. a 3. Poft . the distance CD , defcribe a the circle EGF meeting AB in F , G ; and bifect b FG in bio . 1 . H , and join CF , CH , CG ; the straight line CH , drawn from the given point C , is perpendicular to ...
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 - 2016 |
Elements of Geometry: Containing the First Six Books of Euclid: With a ... Formerly Chairman Department of Immunology John Playfair,John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal ABCD alfo alſo angle ABC angle ACB angle BAC arch bafe baſe becauſe the angle bifected Book cafe centre circle ABC circumference co-fine cof BC cylinder defcribed demonftrated diameter draw drawn equal angles equiangular equilateral polygon equimultiples Euclid exterior angle faid fame altitude fame manner fame plane fame ratio fame reaſon fecond fection fegment femicircle fhall fhewn fide BC fides fince firft firſt folid fore fquare fuch given ftraight line greater infcribed interfect join lefs leſs Let ABC line BC magnitudes muſt oppofite angle parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals Q. E. D. PROP radius reafon rectangle contained rectilineal figure remaining angle ſpherical triangle ſquare tangent THEOR theſe thofe thoſe triangle ABC uſe wherefore
Δημοφιλή αποσπάσματα
Σελίδα 27 - 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 172 - 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 42 - The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another.
Σελίδα 84 - The diameter is the greatest straight line in a circle; and of all others, that which is nearer to the centre is always greater than one more remote; and the greater is nearer to the centre than the less. Let ABCD be a circle, of which...
Σελίδα 106 - IF from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle be equal to the square of the line which meets it, the line which meets shall touch the circle.
Σελίδα 22 - THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA : the side AC is likewise greater than the side AB. For, if it be not greater, AC must...
Σελίδα 64 - If then the sides of it, BE, ED are equal to one another, it is a square, and what was required is now done: But if they are not equal, produce one of them BE to F, and make EF equal to ED, and bisect BF in G : and from the centre G, at the distance GB, or GF, describe the semicircle...
Σελίδα 166 - IN a right angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. Let ABC be a right angled triangle, having the right angle BAC ; and from the point A let AD be drawn perpendicular to the base BC : the triangles ABD, ADC are similar to the whole triangle ABC, and to one another.
Σελίδα 54 - 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...
Σελίδα 2 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.