Elements of Plane Geometry, Del 1Harper & Brothers, 1878 - 132 sider |
Inni boken
Resultat 1-5 av 11
Side 14
... diameters of the same or of equal circles are also equal ; and each diameter is double the radius . 20. A Polygon is a plane figure bounded by straight lines ; these lines are called sides , and the broken line forming the boundary is ...
... diameters of the same or of equal circles are also equal ; and each diameter is double the radius . 20. A Polygon is a plane figure bounded by straight lines ; these lines are called sides , and the broken line forming the boundary is ...
Side 19
... diameter , a chord . * 12. Draw a 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 ...
... diameter , a chord . * 12. Draw a 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 ...
Side 70
... DIAMETER RADIUS RADIUS SECTOR ARC 6. A Segment of a circle is that part of it bounded by a chord and the arc ... diameter bisects a circle and its circumference . Let ACBD be a circle ; then will the diameter AB bi sect it and its ...
... DIAMETER RADIUS RADIUS SECTOR ARC 6. A Segment of a circle is that part of it bounded by a chord and the arc ... diameter bisects a circle and its circumference . Let ACBD be a circle ; then will the diameter AB bi sect it and its ...
Side 78
... a tangent , and CD a chord drawn to the point of contact ; then will the angle BDC be measured by half the intercepted arc DC . Draw the diameter ED . The angle EDB being a right angle is measured by 78 ELEMENTS OF PLANE GEOMETRY .
... a tangent , and CD a chord drawn to the point of contact ; then will the angle BDC be measured by half the intercepted arc DC . Draw the diameter ED . The angle EDB being a right angle is measured by 78 ELEMENTS OF PLANE GEOMETRY .
Side 82
... diameters which shall touch each other . Take any line , AB , and bisect it at the point G ; * then , with A as centre and AG as radius , describe the cir- * The student should accurately perform every construction with ruler and ...
... diameters which shall touch each other . Take any line , AB , and bisect it at the point G ; * then , with A as centre and AG as radius , describe the cir- * The student should accurately perform every construction with ruler and ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 45 - If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles.
Side 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...
Side 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.
Side 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.
Side 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.
Side 57 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Side 69 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.