Elements of Plane Geometry, Del 1Harper & Brothers, 1878 - 132 sider |
Inni boken
Resultat 1-5 av 14
Side vi
... third story , and reconstruct a true foundation to prevent the whole edifice from toppling over . It is a problem whose solution is self - evident that " A line may be bisected . " Why not , also , that it may be trisected ? Five ...
... third story , and reconstruct a true foundation to prevent the whole edifice from toppling over . It is a problem whose solution is self - evident that " A line may be bisected . " Why not , also , that it may be trisected ? Five ...
Side 27
... third . * Let ABC be a triangle ; then will the sum of the sides AC and CB be greater than AB . For the straight line AB ( Def . 3 ) is the shortest distance between the two points A and B. Hence the A broken line ACB is greater than ...
... third . * Let ABC be a triangle ; then will the sum of the sides AC and CB be greater than AB . For the straight line AB ( Def . 3 ) is the shortest distance between the two points A and B. Hence the A broken line ACB is greater than ...
Side 29
... third straight line , making the sum of the adjacent angles equal to two right angles , these two straight lines will form one and the same straight line . Let two straight lines , AB and BC , meet a third straight line , BD , mak- ing ...
... third straight line , making the sum of the adjacent angles equal to two right angles , these two straight lines will form one and the same straight line . Let two straight lines , AB and BC , meet a third straight line , BD , mak- ing ...
Side 35
... third side of the one greater than the third side of the other , that triangle having the greater third side will have the greater angle opposite to it . Let the two triangles ABC and DEF have two sides , AC and CB , of the one equal to ...
... third side of the one greater than the third side of the other , that triangle having the greater third side will have the greater angle opposite to it . Let the two triangles ABC and DEF have two sides , AC and CB , of the one equal to ...
Side 41
... third may be found by subtracting their sum from two right angles . Cor . 5. In any triangle there can be but one right angle ; for if there were two , the third angle would be nothing . Cor . 6. In every right - angled triangle the sum ...
... third may be found by subtracting their sum from two right angles . Cor . 5. In any triangle there can be but one right angle ; for if there were two , the third angle would be nothing . Cor . 6. In every right - angled triangle the sum ...
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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.