The First Book of Euclid's Elements: Arranged for BeginnersMacMillan, 1892 - 167 σελίδες |
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Αποτελέσματα 1 - 5 από τα 15.
Σελίδα
... Distance 86 SECTION VII . PARALLEL STRAIGHT LINES . Alternate Angles 99 Propositions 27 , 28 , 29 , 30 , 32 , 33 , 34 Tests of Parallelism Definition of Non - parallelism , Axiom 12 Interior Angles of a Triangle Interior Angles of a ...
... Distance 86 SECTION VII . PARALLEL STRAIGHT LINES . Alternate Angles 99 Propositions 27 , 28 , 29 , 30 , 32 , 33 , 34 Tests of Parallelism Definition of Non - parallelism , Axiom 12 Interior Angles of a Triangle Interior Angles of a ...
Σελίδα 39
... distance either way . III . That we can describe a circle with any given point as centre , and with the line joining the centre to any other given point as radius . When we say that we must assume that we can draw a straight line etc ...
... distance either way . III . That we can describe a circle with any given point as centre , and with the line joining the centre to any other given point as radius . When we say that we must assume that we can draw a straight line etc ...
Σελίδα 41
... distance from that centre we can describe a circle . This last assumption may be stated thus : -Given the centre and one point on the circle , we can describe the circle . It is equivalent to saying that we can find the extremities of ...
... distance from that centre we can describe a circle . This last assumption may be stated thus : -Given the centre and one point on the circle , we can describe the circle . It is equivalent to saying that we can find the extremities of ...
Σελίδα 45
... distance from that centre equal to a given finite straight line BC , except in the particular case in which the given finite straight line is terminated at A. We proceed ( in Proposition 2 ) to shew how to describe a circle with a given ...
... distance from that centre equal to a given finite straight line BC , except in the particular case in which the given finite straight line is terminated at A. We proceed ( in Proposition 2 ) to shew how to describe a circle with a given ...
Σελίδα 47
... distance of the given point from one extremity of the given line is double of the given line , shew that then the figure may be drawn in such a way that the two circles are equal . 9. Prove that in the figure of Proposition 2 when AB is ...
... distance of the given point from one extremity of the given line is double of the given line , shew that then the figure may be drawn in such a way that the two circles are equal . 9. Prove that in the figure of Proposition 2 when AB is ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 149 - ... is equal to the sum of the areas of the squares on the other two sides.
Σελίδα 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.
Σελίδα 135 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.
Σελίδα 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.
Σελίδα 54 - To draw a straight line at right angles to a given straight line, from a given point in the same.