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, 1851 - 317 pagine |
Dall'interno del libro
Risultati 1-5 di 53
Pagina 4
... taken in their utmost generality , and when no assistance can be received from diagrams . As it is plain that the concise language of Algebra is directly calculated to remedy this in- convenience , I have endeavoured to introduce it ...
... taken in their utmost generality , and when no assistance can be received from diagrams . As it is plain that the concise language of Algebra is directly calculated to remedy this in- convenience , I have endeavoured to introduce it ...
Pagina 5
... taken together ; or , two quantities that are each of them equal to a third quantity , are equal to each other . 5. A Theorem is a demonstrative proposition ; in which some property is asserted , and the truth of it required to be ...
... taken together ; or , two quantities that are each of them equal to a third quantity , are equal to each other . 5. A Theorem is a demonstrative proposition ; in which some property is asserted , and the truth of it required to be ...
Pagina 7
... taken away from it . In like manner , A - B + C , or A + C - B , signifies that A and C are to be added together , and that B is to be subtracted from their sum . 22. Multiplication is expressed by an oblique cross , by a point , or by ...
... taken away from it . In like manner , A - B + C , or A + C - B , signifies that A and C are to be added together , and that B is to be subtracted from their sum . 22. Multiplication is expressed by an oblique cross , by a point , or by ...
Pagina 8
... taken , the straight line between them lies wholly in that superficies . 6. A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the same straight line . L N. B. ' When ...
... taken , the straight line between them lies wholly in that superficies . 6. A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the same straight line . L N. B. ' When ...
Pagina 11
... taken from equals , the remainders are equal . 4. If equals be added to unequals , the wholes are unequal . 5. If equals be taken from unequals , the remainders are unequal . 6. Things which are doubles of the same thing , are equal to ...
... taken from equals , the remainders are equal . 4. If equals be added to unequals , the wholes are unequal . 5. If equals be taken from unequals , the remainders are unequal . 6. Things which are doubles of the same thing , are equal to ...
Altre edizioni - Visualizza tutto
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Visualizzazione completa - 1853 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Visualizzazione completa - 1857 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Visualizzazione completa - 1836 |
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 described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore