The First Book of Euclid's Elements: Arranged for BeginnersMacMillan, 1892 - 167 páginas |
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... given in Euclid's Elements . This is a most valuable concession ; for it gives Teachers a freedom of which many will ... straight line , but we cannot line . Postulates , and We can draw a draw a straight For example , the truth of the ...
... given in Euclid's Elements . This is a most valuable concession ; for it gives Teachers a freedom of which many will ... straight line , but we cannot line . Postulates , and We can draw a draw a straight For example , the truth of the ...
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... 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 usually taught is that the method of ... given a definition of an angle . iv PREFACE .
... 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 usually taught is that the method of ... given a definition of an angle . iv PREFACE .
Página 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 hand ...
... 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 hand ...
Página 10
... A Plane surface is one in which any two points being taken , the straight line passing through them is wholly in that surface . This definition does not tell us how to make a plane . It gives us a test which we may apply to a given ...
... A Plane surface is one in which any two points being taken , the straight line passing through them is wholly in that surface . This definition does not tell us how to make a plane . It gives us a test which we may apply to a given ...
Página 13
Arranged for Beginners Euclid, John Bascombe Lock. Angles . 31. When a straight line is drawn from a given point , it is said to have direction from that point ; its direction is the manner in which it tends away from the point . The ...
Arranged for Beginners Euclid, John Bascombe Lock. Angles . 31. When a straight line is drawn from a given point , it is said to have direction from that point ; its direction is the manner in which it tends away from the point . The ...
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 149 - ... is equal to the sum of the areas of the squares on the other two sides.
Página 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.
Página 135 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.
Página 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.
Página 54 - To draw a straight line at right angles to a given straight line, from a given point in the same.