Elements of Plane Geometry, Μέρος 1Harper & Brothers, 1878 - 132 σελίδες |
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Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 19
... tangent , a secant . ‡ 13. Draw a triangle , a quadrilateral , a pentagon.§ 14. Draw all kinds of angles . 15. Draw two diameters at right angles , || and join their extremities . 16. Draw four tangents at right angles , and join their ...
... tangent , a secant . ‡ 13. Draw a triangle , a quadrilateral , a pentagon.§ 14. Draw all kinds of angles . 15. Draw two diameters at right angles , || and join their extremities . 16. Draw four tangents at right angles , and join their ...
Σελίδα 70
... Tangent is a line without a circle , which touches it in one point only . 4. A Line is inscribed in a circle when its extremities terminate in the circumference . 5. A Secant is a line which cuts the circumference in two points . ARC ...
... Tangent is a line without a circle , which touches it in one point only . 4. A Line is inscribed in a circle when its extremities terminate in the circumference . 5. A Secant is a line which cuts the circumference in two points . ARC ...
Σελίδα 71
... tangent to the circumference of a circle , a radius drawn to the point of contact is perpendicular to the tangent . Let the line AB be tangent to the circumference of a circle at the point D ; then will the radius CD be perpen- dicular ...
... tangent to the circumference of a circle , a radius drawn to the point of contact is perpendicular to the tangent . Let the line AB be tangent to the circumference of a circle at the point D ; then will the radius CD be perpen- dicular ...
Σελίδα 72
... tangent AB ; and there- fore CD is perpendicular to AB ( Prop . XXXI . , Bk . I. ) . PROPOSITION IV . - THEOREM . If a line drawn through the centre of a circle bisect a chord , it will be perpendicular to the chord ; or , if it be ...
... tangent AB ; and there- fore CD is perpendicular to AB ( Prop . XXXI . , Bk . I. ) . PROPOSITION IV . - THEOREM . If a line drawn through the centre of a circle bisect a chord , it will be perpendicular to the chord ; or , if it be ...
Σελίδα 78
... tangent EF be parallel to the tangent GH ; then will the arc LAK be equal to LBK . The arc AK is equal to the arc BK , and AL is equal to BL ( Prop . IV . ) ; and by adding these equals LAK is equal to LBK . Let AB be a secant , and EF ...
... tangent EF be parallel to the tangent GH ; then will the arc LAK be equal to LBK . The arc AK is equal to the arc BK , and AL is equal to BL ( Prop . IV . ) ; and by adding these equals LAK is equal to LBK . Let AB be a secant , and EF ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC and BD AC and CB AC is equal ACEH adjacent angle allel alternate angles altitude angle ABC angle ACB angle BAC angle equal base centre chord circumference diagonal diameter draw equal angles equal const equal Prop equal to DF equiangular equilateral triangle exterior angle feet Find the area Geometry given line given point gles greater half the arc Hence the triangles hypothenuse included angle inscribed interior and opposite isosceles triangle Join the points Let ABC lines AC measured by half opposite angle parallelogram perpendicular point F polygon proportional PROPOSITION Prove quadrilateral radius rectangle rectangle contained Required the area rhombus right angles Prop right-angled triangle Scholium secant secant line segment side AC similar six right square tangent TEST EXAMPLES three sides trapezium triangle ABC
Δημοφιλή αποσπάσματα
Σελίδα 48 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 26 - PROB. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from the point A a straight line equal to BC.
Σελίδα 46 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 45 - If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles.
Σελίδα 63 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let...
Σελίδα 64 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Σελίδα 114 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
Σελίδα 57 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Σελίδα 57 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Σελίδα 69 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.