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 52
Pagina 5
... Magnitudes may be considered under three dimensions , -length , breadth , height or thickness . 2. In Geometry there are several general terms or principles ; such as , Definitions , Propositions , Axioms , Theorems , Problems , Lemmas ...
... Magnitudes may be considered under three dimensions , -length , breadth , height or thickness . 2. In Geometry there are several general terms or principles ; such as , Definitions , Propositions , Axioms , Theorems , Problems , Lemmas ...
Pagina 8
... magnitude . " ( See Notes . ) 2. A line is length without breadth . " COROLLARY . The extremities of a line are points ; and the intersections " of one line with another are also points . " 3. " If two lines are such that they cannot ...
... magnitude . " ( See Notes . ) 2. A line is length without breadth . " COROLLARY . The extremities of a line are points ; and the intersections " of one line with another are also points . " 3. " If two lines are such that they cannot ...
Pagina 11
... Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one another . 9. The whole is greater than its part . 10. All right angles are equal to one another . 11. " Two straight lines which ...
... Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one another . 9. The whole is greater than its part . 10. All right angles are equal to one another . 11. " Two straight lines which ...
Pagina 106
... magnitude of any kind , it signifies that the " magnitude is multiplied by the number . Thus , 3A signifies three " times A ; mB , m times B , or a multiple of B by m . When the num- " ber is intended to multiply two or more magnitudes ...
... magnitude of any kind , it signifies that the " magnitude is multiplied by the number . Thus , 3A signifies three " times A ; mB , m times B , or a multiple of B by m . When the num- " ber is intended to multiply two or more magnitudes ...
Pagina 107
... Magnitudes are said to be of the same kind , when the less can be mul- tiplied so as to exceed the greater ; and it is only such magnitudes that are said to have a ratio to one another . 5. If there be four magnitudes , and if any ...
... Magnitudes are said to be of the same kind , when the less can be mul- tiplied so as to exceed the greater ; and it is only such magnitudes that are said to have a ratio to one another . 5. If there be four magnitudes , and if any ...
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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