Elements of Plane Geometry, Del 1Harper & Brothers, 1878 - 132 sider |
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Side 15
Thomas Hunter. with respect to their sides , and three with respect to their angles . The three with respect to their sides are equilateral , * isosceles , † and scalene ; and the three with respect to their angles are right - angled ...
Thomas Hunter. with respect to their sides , and three with respect to their angles . The three with respect to their sides are equilateral , * isosceles , † and scalene ; and the three with respect to their angles are right - angled ...
Side 16
... angles acute . 27. An Obtuse - angled Triangle is one that has an obtuse angle . 28. Parallel lines are such as lie ... right angle . 33. A Rectangle is a parallelogram having four right angles . 34. A Square is an equilateral rectangle ...
... angles acute . 27. An Obtuse - angled Triangle is one that has an obtuse angle . 28. Parallel lines are such as lie ... right angle . 33. A Rectangle is a parallelogram having four right angles . 34. A Square is an equilateral rectangle ...
Side 17
... angles not consecutive . 37. The Hypothenuse of a right - angled triangle is the side opposite the right angle . 38. The Base of a plane figure is that side upon which it is supposed to stand . Any side may be considered the base ...
... angles not consecutive . 37. The Hypothenuse of a right - angled triangle is the side opposite the right angle . 38. The Base of a plane figure is that side upon which it is supposed to stand . Any side may be considered the base ...
Side 19
... angles . 15. Draw two diameters at right angles , || and join their extremities . 16. Draw four tangents at right angles , and join their extremities . 17. Lay off the radius on the circumference six times , and join the points ; join ...
... angles . 15. Draw two diameters at right angles , || and join their extremities . 16. Draw four tangents at right angles , and join their extremities . 17. Lay off the radius on the circumference six times , and join the points ; join ...
Side 26
... angle DCF ( Prop . VII . ) is equal to the angle ECF ; and , since these angles are equal , each is a right angle ( Def . 10 ) . Hence CF is perpendicular to AB . PROPOSITION XI . - PROBLEM . From a given point without a straight line ...
... angle DCF ( Prop . VII . ) is equal to the angle ECF ; and , since these angles are equal , each is a right angle ( Def . 10 ) . Hence CF is perpendicular to AB . PROPOSITION XI . - PROBLEM . From a given point without a straight line ...
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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.