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 pagine |
Dall'interno del libro
Risultati 1-5 di 54
Pagina 16
... square is that which has all its sides equal , and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , but has not all its sides equal , XXVII . A rhombus , is that which has all its sides ...
... square is that which has all its sides equal , and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , but has not all its sides equal , XXVII . A rhombus , is that which has all its sides ...
Pagina 46
... square upon a given straight line . Let AB be the given straight line : it is required to describe a square upon AB . From the point A. draw ( 11. 1. ) AC at right angles to AB ; and make ( 3. 1. ) AD equal to AB , and through the point ...
... square upon a given straight line . Let AB be the given straight line : it is required to describe a square upon AB . From the point A. draw ( 11. 1. ) AC at right angles to AB ; and make ( 3. 1. ) AD equal to AB , and through the point ...
Pagina 47
... square which is de- scribed upon the side subtending the right angle , is equal to the squares described upon the sides which contain the right angle . Let ABC be a right angled triangle having the right angle BAC ; the square described ...
... square which is de- scribed upon the side subtending the right angle , is equal to the squares described upon the sides which contain the right angle . Let ABC be a right angled triangle having the right angle BAC ; the square described ...
Pagina 48
... square GB : And in the same manner , by joining AE , BK , it is demonstrated that the parallelogram CL is equal to the square HC . Therefore , the whole square BĎEC is equal to the two squares GB , HC ; and the square BDEC is de ...
... square GB : And in the same manner , by joining AE , BK , it is demonstrated that the parallelogram CL is equal to the square HC . Therefore , the whole square BĎEC is equal to the two squares GB , HC ; and the square BDEC is de ...
Pagina 49
... square of a line , for " instance of AD , we shall frequently in what follows write AD2 " " The sign + placed between the names of two magnitudes , signi- " fies that those magnitudes are to be added together , and the sign " — placed ...
... square of a line , for " instance of AD , we shall frequently in what follows write AD2 " " The sign + placed between the names of two magnitudes , signi- " fies that those magnitudes are to be added together , and the sign " — placed ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Visualizzazione completa - 1826 |
Parole e frasi comuni
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
Brani popolari
Pagina 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.
Pagina 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.
Pagina 41 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Pagina 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.
Pagina 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.
Pagina 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.
Pagina 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.
Pagina 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.
Pagina 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.
Pagina 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.