Elements of Plane Geometry, Teil 1Harper & Brothers, 1878 - 132 Seiten |
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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
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Seite 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.
Seite 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.
Seite 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.
Seite 45 - If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles.
Seite 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...
Seite 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.
Seite 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.
Seite 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.
Seite 57 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Seite 69 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.