Elements of Plane Geometry, Del 1Harper & Brothers, 1878 - 132 sider |
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Resultat 1-5 av 12
Side 30
... interior and opposite angles . A B G D E Let the triangle ABC have one of its sides , AB , produced to D ; then will the exterior angle CBD be greater than either of the two interior and opposite angles , CAB and BCA . Bisect BC at the ...
... interior and opposite angles . A B G D E Let the triangle ABC have one of its sides , AB , produced to D ; then will the exterior angle CBD be greater than either of the two interior and opposite angles , CAB and BCA . Bisect BC at the ...
Side 31
... interior and opposite angles ; to this inequality add the adjacent angle , and the sum of the exterior angle and the adjacent angle will be greater than the sum of the adjacent angle , and either of the other two . But the sum of the ...
... interior and opposite angles ; to this inequality add the adjacent angle , and the sum of the exterior angle and the adjacent angle will be greater than the sum of the adjacent angle , and either of the other two . But the sum of the ...
Side 36
... interior and opposite angle upon the same side of the line , or make the sum of the interior angles on the same side equal to two right angles , the two straight lines are parallel to one another .. A G H F Let the straight line FE ...
... interior and opposite angle upon the same side of the line , or make the sum of the interior angles on the same side equal to two right angles , the two straight lines are parallel to one another .. A G H F Let the straight line FE ...
Side 37
... interior and opposite angle on the same side , and the sum of the two interior angles on the same side equal to two right angles . C E A G K -D -B Let the straight line GH in- tersect the two parallel straight lines , AB and CD ; then ...
... interior and opposite angle on the same side , and the sum of the two interior angles on the same side equal to two right angles . C E A G K -D -B Let the straight line GH in- tersect the two parallel straight lines , AB and CD ; then ...
Side 38
... interior angles on the same side less than two right angles , these two straight lines will meet on the side of the secant line on which the sum of the two angles is less than two right angles . For if they did not meet when produced ...
... interior angles on the same side less than two right angles , these two straight lines will meet on the side of the secant line on which the sum of the two angles is less than two right angles . For if they did not meet when produced ...
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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.