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 TrigonometryMarot & Walter, 1826 - 320 sider |
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Resultat 1-5 av 33
Side x
... called the Geometrical Analysis , and has itself an analytical - form ; and for these reasons , I would willingly reserve it , or rather a compend of it , for a sepa- rate work , intended as an introduction to the study of that analysis ...
... called the Geometrical Analysis , and has itself an analytical - form ; and for these reasons , I would willingly reserve it , or rather a compend of it , for a sepa- rate work , intended as an introduction to the study of that analysis ...
Side 13
... called a straight line . ” " COR . Hence two straight lines cannot enclose a space . Neither ❝can two straight lines have a common segment ; that is , they cannot " coincide in part , without coinciding altogether . " IV . A ...
... called a straight line . ” " COR . Hence two straight lines cannot enclose a space . Neither ❝can two straight lines have a common segment ; that is , they cannot " coincide in part , without coinciding altogether . " IV . A ...
Side 14
... called the angle ' DBC , or CBD ; but , if there be only one angle at a point , it may be ' expressed by a letter ... called a right angle ;, and the straight line which stands on the other is called a perpendicular to it . VIII . An ...
... called the angle ' DBC , or CBD ; but , if there be only one angle at a point , it may be ' expressed by a letter ... called a right angle ;, and the straight line which stands on the other is called a perpendicular to it . VIII . An ...
Side 15
... called the circumference , and is such that all straight lines drawn from a cer- tain point within the figure to the circumference , are equal to one another . XII . And this point is called the centre of the circle . XIII . A diameter ...
... called the circumference , and is such that all straight lines drawn from a cer- tain point within the figure to the circumference , are equal to one another . XII . And this point is called the centre of the circle . XIII . A diameter ...
Side 16
... figures besides these , are called Trapeziums . XXX . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a straight 46 ...
... figures besides these , are called Trapeziums . XXX . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a straight 46 ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1826 |
Elements of Geometry: Containing the First Six Books of Euclid; With Two ... Formerly Chairman Department of Immunology John Playfair Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC meet multiple opposite angle parallel parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore
Populære avsnitt
Side 125 - 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 39 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight lines AC, BD ; AC, BD are also equal and parallel.
Side 41 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Side 19 - BG; and things that are equal to the same are equal to one another; therefore the straight line AL is equal to BC. Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC.
Side 145 - If two triangles which have two sides of the one proportional to two sides of the other, be joined at one angle, so as to have their homologous sides parallel to one another ; the remaining sides shall be in a straight line. Let ABC, DCE be two triangles which have the two sides BA, AC proportional to the two CD, DE, viz.
Side 30 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle.
Side 136 - FGL, have an angle in one equal to an angle in the other, and their sides about these equal angles proportionals ; the triangle ABE is equiangular (6.
Side 51 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Side 20 - DEF, and be equal to it ; and the other angles of the one shall coincide with the remaining angles of the other and be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE.
Side 55 - If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section.