Αναζήτηση Εικόνες Χάρτες Play YouTube Ειδήσεις Gmail Drive Περισσότερα »
Είσοδος
Βιβλία Βιβλία
" A tangent to a circle is perpendicular to the radius drawn to the point of contact. "
Harvard Examination Papers - Σελίδα 171
των Robert Fowler Leighton - 1880 - 412 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - 1837 - 216 σελίδες
...which has therefore, by art. 11, the same direction with the circumference at M. 120. Theorem. The tangent to a circle is perpendicular to the radius drawn to the point of contact. Demonstration. The radius OM = ON (fig. 58) is shorter than any other line, as OP, which can be drawn...

Algebra applied to geometry ... By X. Y. Z.

X. Y. Z. - 1843 - 124 σελίδες
...Circle the Angle at the centre is double the Angle at the Circumference. (Euclid 20, 3.) - - 90 6*. A Tangent to a Circle is perpendicular to the Radius drawn to the Point of Contact. (Euclid, 3, 16.) - - ib. 7*. If two Tangents be drawn at the extremity of a Chord to intersect, the...

Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - 1844 - 110 σελίδες
...straight line perpendicular to a radius at its extremity is a tangent to the circle. Conversely. Every tangent to a circle is perpendicular to the radius drawn to the point of contact. 1st. Let AB be perpen- F>s' ^ DE dicular to the radius CD, at its extremity D ; then we have to prove...

Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 σελίδες
...perpendicular at the extremity of a radius is a tangent of the circumference ; and conversely, a tangent to the circle is perpendicular to the radius drawn to the point of contact. Let ABD be perpendicular to the radius CB, it shall touch the circle in the point B. For to show that...

The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - 1868 - 284 σελίδες
...therefore tangent to it at the point D (D. 8). Therefore, etc. Cor. Conversely. — A tangent to the circle is perpendicular to the radius drawn to the point of contact. For any line, as CE, is greater than CF, or its equal CD; hence, CD, being the shortest line from C...

A Treatise on Analytic Geometry: Especially as Applied to the Properties of ...

George Holmes Howison, Joseph Ray - 1869 - 622 σελίδες
...beginner, of course, must accept upon authority the meaning of the equations employed. To prove that the tangent to a circle is perpendicular to the radius drawn to the point of contact. — Let the axes be rectangular, and the center of the circle at the origin. Its equation is, in that...

Elementary and Practical Instructions on the Science of Railway Construction

Sir Rowland Macdonald Stephenson - 1869 - 446 σελίδες
...circle are derived from geometry, and will be found useful in their application to railway curves. 1 . A tangent to a circle is perpendicular to the radius drawn to the tangent point. Thus the tangent AC is perpendicular to the radius A M. 2. Two tangents drawn to a circle...

Catalogue - Harvard University

Harvard University - 1873 - 732 σελίδες
...liases by their altitudes. What follows if we suppose one of the rectangles to be the unit of surface 1 4. Prove that two similar polygons may be divided...chords intercept upon the circumference equal arcs. ANCIENT HISTORY AND GEOGRAPHY. Take any one of the flrst three, nnd four others. If von are prepared...

Examination Christmas,1875

Education Department,London - 1876 - 1010 σελίδες
...inscribed in the circle. If a tangent be defined as the limiting position of a secant, shew that the tangent to a circle is perpendicular to the radius drawn to the point of contact. ALGEBRA. SECTION V. Find the difference in value between the arithmetical expression 57 and the algebraical...

Elementary geometry

James Maurice Wilson - 1878 - 450 σελίδες
...(a) One and only one tangent can be drawn to a circle at a given point on the circumference. (b) The tangent to a circle is perpendicular to the radius drawn to the point of contact. (<r) The centre of a circle lies in the perpendicular to the tangent at the point of contact. (</)...




  1. Η βιβλιοθήκη μου
  2. Βοήθεια
  3. Σύνθετη Αναζήτηση Βιβλίων
  4. Λήψη ePub
  5. Λήψη PDF