Elements of Plane and Solid GeometryGinn, Heath, 1877 - 398 σελίδες |
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Αποτελέσματα 1 - 5 από τα 84.
Σελίδα 5
... Straight line is a line which has the same direction throughout its whole extent . 9. DEF . A Curved line is a line which changes its direction at every point . 10. DEF . A Broken line is a series of con- nected straight lines . When the ...
... Straight line is a line which has the same direction throughout its whole extent . 9. DEF . A Curved line is a line which changes its direction at every point . 10. DEF . A Broken line is a series of con- nected straight lines . When the ...
Σελίδα 6
... STRAIGHT LINES . 18. If the direction of a straight line and a point in the line be known , the position of the line is known ; that is , a straight line is determined in position if its direction and one of its points be known . Hence , ...
... STRAIGHT LINES . 18. If the direction of a straight line and a point in the line be known , the position of the line is known ; that is , a straight line is determined in position if its direction and one of its points be known . Hence , ...
Σελίδα 7
... line , as CB , 4B , be produced through C , the portions CB and CA may be regarded as different lines . having opposite directions from the point C. Hence , every straight line ... straight lines which lie in the same plane DEFINITIONS . 7.
... line , as CB , 4B , be produced through C , the portions CB and CA may be regarded as different lines . having opposite directions from the point C. Hence , every straight line ... straight lines which lie in the same plane DEFINITIONS . 7.
Σελίδα 9
... straight lines which meet each other so that the two adjacent angles formed by producing one of the lines through the vertex are equal . Thus if the straight line A B meet the straight line C D so that the adjacent angles ABC and ABD ...
... straight lines which meet each other so that the two adjacent angles formed by producing one of the lines through the vertex are equal . Thus if the straight line A B meet the straight line C D so that the adjacent angles ABC and ABD ...
Σελίδα 10
... straight line O C to move in this plane from coincidence with O A , about the point 0 as a pivot , to the po- sition O C ; then the line OC describes or generates the angle A O C. A D A B C- D A ' B B B ' A The amount of rotation of the ...
... straight line O C to move in this plane from coincidence with O A , about the point 0 as a pivot , to the po- sition O C ; then the line OC describes or generates the angle A O C. A D A B C- D A ' B B B ' A The amount of rotation of the ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C D AABC ABCD altitude apothem arcs A B axis base and altitude centre centre of symmetry chord circumference circumscribed coincide conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided draw equal respectively equally distant equilateral equivalent frustum given point Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B Let ABC line A B measured by arc middle point number of sides opposite parallel lines parallelogram parallelopiped perimeter perpendicular plane MN polyhedral angle prove Q. E. D. PROPOSITION radii ratio rect rectangles regular inscribed regular polygon right angles right section SCHOLIUM similar polygons slant height sphere spherical angle spherical polygon spherical triangle straight line drawn surface tangent tetrahedron THEOREM trihedral upper base vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 188 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Σελίδα 347 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 134 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Σελίδα 201 - To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line.
Σελίδα 221 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles.
Σελίδα 217 - The area of a regular polygon is equal to onehalf the product of its apothem and perimeter.
Σελίδα 44 - Two triangles are equal if the three sides of the one are equal, respectively, to the three sides of the other. In the triangles ABC and A'B'C', let AB be equal to A'B', AC to A'C', BC to B'C'. To prove that A ABC = A A'B'C'.
Σελίδα 186 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 346 - A frustum of any pyramid is equivalent to the sum of three pyramids whose common altitude is the altitude of the frustum, and whose bases are the lower base, the upper base, and a mean proportional between the bases, of the frustum. For, let ABCDE-F be a frustum of any pyramid S-ABCDE. Let S'-A'B'C' be a triangular pyramid, having the same altitude as the pyramid S-ABCDE, and a base A'B'C' equivalent to the base ABCDE, and in the same plane with it.
Σελίδα 95 - BAC, inscribed in a segment greater than a semicircle, is an acute angle ; for it is measured by half of the arc BOC, less than a semicircumference.