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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 σελίδες |
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Σελίδα 6
... polygon , and the lines themselves taken together form the contour , or perimeter of the polygon . 17. The polygon of three sides , the simplest of all , is called a triangle ; that of four sides , a quadrilateral ; that of five , a ...
... polygon , and the lines themselves taken together form the contour , or perimeter of the polygon . 17. The polygon of three sides , the simplest of all , is called a triangle ; that of four sides , a quadrilateral ; that of five , a ...
Σελίδα 7
... polygon , one which has all its angles equal . 32. Two polygons are mutually equilateral , when they have their sides equal to each other , and placed in the same order ; that is to say , when follow- ing their perimeters in the same ...
... polygon , one which has all its angles equal . 32. Two polygons are mutually equilateral , when they have their sides equal to each other , and placed in the same order ; that is to say , when follow- ing their perimeters in the same ...
Σελίδα 24
... polygons with salient angles , which might otherwise be named convex polygons . Every convex po- F E lygon is such that a straight line , drawn at pleasure , cannot meet the con- tour of the polygon in more than two points . t PROP ...
... polygons with salient angles , which might otherwise be named convex polygons . Every convex po- F E lygon is such that a straight line , drawn at pleasure , cannot meet the con- tour of the polygon in more than two points . t PROP ...
Σελίδα 41
... polygon ABCDE will be equivalent to the polygon ABCF , which has one side less than the original polygon . For the triangles CDE , CFE , have the base CE common , and they are between the same paral- lels ; since their vertices D , F ...
... polygon ABCDE will be equivalent to the polygon ABCF , which has one side less than the original polygon . For the triangles CDE , CFE , have the base CE common , and they are between the same paral- lels ; since their vertices D , F ...
Σελίδα 43
... to the given rectangle AEFH ( Th . 36. 1. ) . A E D H F K B G A polygon may be converted into an equivalent rectangle , having one of its sides of a given length . ELEMENTS OF GEOMETRY . BOOK II . DEFINITIONS . 1. OF GEOMETRY . BOOK I. 43.
... to the given rectangle AEFH ( Th . 36. 1. ) . A E D H F K B G A polygon may be converted into an equivalent rectangle , having one of its sides of a given length . ELEMENTS OF GEOMETRY . BOOK II . DEFINITIONS . 1. OF GEOMETRY . BOOK I. 43.
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Elements Of Geometry John Playfair,William Wallace,John Davidsons Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Elements Of Geometry John Playfair,William Wallace,John Davidsons Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles 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 PROP 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 third touches the circle triangle ABC triangle DEF wherefore