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 TrignonometryBell & Bradfute, 1875 - 257 pagine |
Dall'interno del libro
Risultati 1-5 di 85
Pagina 2
... less than a right angle . X. A figure is that which is enclosed by one or more boundaries . The space contained within a figure is called the Area of the Figure . XI . A circle is a plane figure contained by one line , which is called ...
... less than a right angle . X. A figure is that which is enclosed by one or more boundaries . The space contained within a figure is called the Area of the Figure . XI . A circle is a plane figure contained by one line , which is called ...
Pagina 5
... less . Let AB and C be the two given straight lines , whereof AB is the greater . It is re- quired to cut off from AB , the greater , a part equal to C , the less . C E В F From the point A draw ( I. 2 ) 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 re- quired to cut off from AB , the greater , a part equal to C , the less . C E В F From the point A draw ( I. 2 ) the straight line AD equal to C ...
Pagina 6
... less , and join FC , GB . A B C G E 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 con- tain the angle FAG common to the two triangles AFC , AGB ; therefore the ...
... less , and join FC , GB . A B C G E 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 con- tain the angle FAG common to the two triangles AFC , AGB ; therefore the ...
Pagina 7
... less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is also equal to the angle ACB ...
... less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is also equal to the angle ACB ...
Pagina 11
... less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which , therefore , is in ...
... less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which , therefore , is in ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Anteprima non disponibile - 2021 |
Parole e frasi comuni
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore given circle given point given straight line hypotenuse inscribed less Let ABC Let the straight meet multiple opposite angle parallel parallelogram perpendicular plane polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles segment semicircle similar sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC straight line drawn tangent THEOR third three straight lines touches the circle triangle ABC triangle DEF wherefore