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 TrigonometryW.E. Dean, 1839 - 318 sider |
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Side viii
... of EUCLID . There are , however , a few others , which , though less considerable , it is hoped may in some degree facilitate the study of the elements . Such are those made on the definitions in the first Book , and viii PREFACE .
... of EUCLID . There are , however , a few others , which , though less considerable , it is hoped may in some degree facilitate the study of the elements . Such are those made on the definitions in the first Book , and viii PREFACE .
Side x
... less . In the same manner , the quadrature of the circle is performed only by approxi- mation , or by finding two rectangles nearly equal to one another , one of them greater , and another less than the space contained with- in the ...
... less . In the same manner , the quadrature of the circle is performed only by approxi- mation , or by finding two rectangles nearly equal to one another , one of them greater , and another less than the space contained with- in the ...
Side 18
... less than a right angle . X. A figure is that which is enclosed by one or more boundaries . - The word area denotes the quantity of space contained in a figure , without any reference to the nature of the line or lines which bound it ...
... less than a right angle . X. A figure is that which is enclosed by one or more boundaries . - The word area denotes the quantity of space contained in a figure , without any reference to the nature of the line or lines which bound it ...
Side 23
... less . Let AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C , the less . D F E B From the point A draw ( 2. 1. ) the straight line AD equal to C ...
... less . Let AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C , the less . D F E B From the point A draw ( 2. 1. ) the straight line AD equal to C ...
Side 24
... less , and join FC , GB . Because AF is equal to AG , and AB to AC , the two sides FA , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two trian- gles , AFC , AGB ; therefore the base . FC ...
... less , and join FC , GB . Because AF is equal to AG , and AB to AC , the two sides FA , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two trian- gles , AFC , AGB ; therefore the base . FC ...
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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1847 |
Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1856 |
Vanlige uttrykk og setninger
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw 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 magnitudes meet opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism PROB produced proportional proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelopipeds spherical angle spherical triangle square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore