The First Book of Euclid's Elements: Arranged for BeginnersMacMillan, 1892 - 167 sider |
Inni boken
Resultat 1-5 av 42
Side
... line which divides the angle ABC into two equal parts , it must cut the line ... straight line . I believe that one of the great difficulties of Euclid as ... finite line which is straight ? ] and then the real definition of Euclid ...
... line which divides the angle ABC into two equal parts , it must cut the line ... straight line . I believe that one of the great difficulties of Euclid as ... finite line which is straight ? ] and then the real definition of Euclid ...
Side 8
... STRAIGHT LINE , PLANE , ANGLE . A Straight Line . Straight lines are such that when any straight line is placed so that two of its points coincide with two ... finite straight line is called SECTION II FUNDAMENTAL DEFINITIONS Straight Lines.
... STRAIGHT LINE , PLANE , ANGLE . A Straight Line . Straight lines are such that when any straight line is placed so that two of its points coincide with two ... finite straight line is called SECTION II FUNDAMENTAL DEFINITIONS Straight Lines.
Side 9
... straight line is called its length . When we are given a finite straight line , we are also given the unlimited straight line of which the finite straight line is a portion . That is , a finite straight line can be prolonged on either ...
... straight line is called its length . When we are given a finite straight line , we are also given the unlimited straight line of which the finite straight line is a portion . That is , a finite straight line can be prolonged on either ...
Side 10
... straight line passing through them is wholly in that surface . This definition does not tell us how to make a plane ... finite straight line ( namely the edge of the knife of his plane ) along the upper surface of the plank , and all the ...
... straight line passing through them is wholly in that surface . This definition does not tell us how to make a plane ... finite straight line ( namely the edge of the knife of his plane ) along the upper surface of the plank , and all the ...
Side 11
... lines of one of them can be made to coincide exactly with those of the other . Two figures which are not equal in other respects may have equal areas . A N D M E P K F Thus in the above figure ... finite straight lines is A PLANE . 11 Area.
... lines of one of them can be made to coincide exactly with those of the other . Two figures which are not equal in other respects may have equal areas . A N D M E P K F Thus in the above figure ... finite straight lines is A PLANE . 11 Area.
Vanlige uttrykk og setninger
ABC is equal adjacent angles alternate angles angle ABC angle ACB angle BAC angle equal angles FAB angular point area of ABC base BC bisectors bisects the angle centre coincide Consider the triangles Construction corresponding angle DEF are equal describe a triangle diagonal equal angles equal area equal in area equal respectively equal to BC equidistant equilateral triangle exterior angle finite straight line given angle given finite straight given parallelogram given point given straight line given triangle greater included angle interior opposite angle intersect isosceles triangle line BC middle point opposite sides perpendicular plane produced Prop Proposition Q.E.D. EXAMPLES quadrilateral radius rectilineal figure required to prove rhombus right angles right-angled triangle Shew side BC sides equal square straight angle surface third side triangle ABC triangle DEF triangles are equal Wherefore
Populære avsnitt
Side 28 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 72 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Side 48 - From the greater of two given straight lines to cut off a part equal to the less. Let AB and C be the two given straight lines, whereof AB is the greater.
Side 151 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC.
Side 118 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.
Side 149 - ... is equal to the sum of the areas of the squares on the other two sides.
Side 114 - 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 135 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.
Side 125 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Side 54 - To draw a straight line at right angles to a given straight line, from a given point in the same.