A Treatise on Elementary Geometry: With Appendices Containing a Collection of Exercises for Students and an Introduction to Modern GeometryJ.B. Lippincott, 1872 - 368 σελίδες |
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Σελίδα 49
... centre of symmetry , when this centre bisects the straight line joining the two points . Thus , A and A ' are symmetrical with respect to the centre O , if the line AA ' passes through O and is bisected at 0 . A The distance of a point ...
... centre of symmetry , when this centre bisects the straight line joining the two points . Thus , A and A ' are symmetrical with respect to the centre O , if the line AA ' passes through O and is bisected at 0 . A The distance of a point ...
Σελίδα 50
... centre such that every straight line drawn through it cuts the figure in two points which are symmetrical with respect to this centre . Thus , ABCDC'B ' is a symmetrical figure with respect to the axis MN , being divided by MN into two ...
... centre such that every straight line drawn through it cuts the figure in two points which are symmetrical with respect to this centre . Thus , ABCDC'B ' is a symmetrical figure with respect to the axis MN , being divided by MN into two ...
Σελίδα 52
... centre . The curve which bounds the circle is called its circumference . Any straight line drawn from the centre to the circumference is called a radius . Any straight line drawn through the centre and terminated each way by the ...
... centre . The curve which bounds the circle is called its circumference . Any straight line drawn from the centre to the circumference is called a radius . Any straight line drawn through the centre and terminated each way by the ...
Σελίδα 53
... centre which is less than the radius ; and every point without the circle is at a distance from the centre which is greater than the radius . Hence ( I. 40 ) , the locus of all the points in a plane which are at a given distance from a ...
... centre which is less than the radius ; and every point without the circle is at a distance from the centre which is greater than the radius . Hence ( I. 40 ) , the locus of all the points in a plane which are at a given distance from a ...
Σελίδα 54
... centre is 0 ; then , any diameter AOB bisects the circle and its circumference . O N B For , if the figure ANB be turned about AB as an axis and superposed upon the figure AMB , the curve ANB will coincide with the curve AMB , since all ...
... centre is 0 ; then , any diameter AOB bisects the circle and its circumference . O N B For , if the figure ANB be turned about AB as an axis and superposed upon the figure AMB , the curve ANB will coincide with the curve AMB , since all ...
Άλλες εκδόσεις - Προβολή όλων
A Treatise on Elementary Geometry: With Appendices Containing a Collection ... William Chauvenet Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
A Treatise on Elementary Geometry: With Appendices Containing a Collection ... William Chauvenet Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC² adjacent angles altitude apothem base bisects centre of similitude chord circumference circumscribed coincide common cone Corollary cylinder Definition denote diagonals diameter dicular diedral angle distance divided draw edges equally distant equilateral equivalent exterior angle faces figure find the locus frustum given circles given plane given point given straight line hence homologous hypotenuse indefinitely inscribed angle isosceles Let ABC measure medial lines middle point number of sides one-half opposite sides parallelogram parallelopiped pendicular perimeter perpen perpendicular plane MN plane passed polar pole polyedral angle polyedron prism PROPOSITION pyramid quadrilateral radical axis radii radius rectangle regular polygon respectively right angles right triangle Scholium secant segment similar sphere spherical polygon square straight line drawn straight line joining surface symmetrical tangent tetraedron theorem three given triangle ABC triedral vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 128 - The area of a rectangle is equal to the product of its base and altitude.
Σελίδα 348 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Σελίδα 19 - The perpendicular is the shortest line that can be drawn from a point to a straight line.
Σελίδα 79 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC.
Σελίδα 29 - The sum of the three angles of any triangle is equal to two right angles.
Σελίδα 175 - If a straight line is perpendicular to each of two straight lines at' their point of intersection, it is perpendicular to the plane of those lines.
Σελίδα 263 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Σελίδα 219 - A truncated triangular prism is equivalent to the sum of three pyramids, whose common base is the base of the prism and whose vertices are the three vertices of the inclined section.
Σελίδα 197 - A right prism is a prism •whose lateral edges are perpendicular to the planes of the bases.
Σελίδα 127 - Any two rectangles are to each other as the products of their bases by their altitudes. Let R and R...