The First Book of Euclid's Elements: Arranged for BeginnersMacMillan, 1892 - 167 σελίδες |
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Αποτελέσματα 1 - 5 από τα 38.
Σελίδα
... produce an edition of the First Book of Euclid's Elements of Geometry which shall be useful to Teachers . The existence of a very influential Association for the Improvement of Geometrical Teaching is a sufficient proof that in the ...
... produce an edition of the First Book of Euclid's Elements of Geometry which shall be useful to Teachers . The existence of a very influential Association for the Improvement of Geometrical Teaching is a sufficient proof that in the ...
Σελίδα
... produce them . The study of Geometry is not the learning of the Propositions of Euclid by heart . It is the acquiring the power of intelligently using those propositions in the test- ing and proving other propositions That this remark ...
... produce them . The study of Geometry is not the learning of the Propositions of Euclid by heart . It is the acquiring the power of intelligently using those propositions in the test- ing and proving other propositions That this remark ...
Σελίδα 21
... produced to H , K , L , M respectively , then the angle HBC is equal to the angle LEF and the angle KCB to the angle MFE . H / K M For the triangle ABC coinciding with DEF the line AB coincides with DE throughout its entire length ; so ...
... produced to H , K , L , M respectively , then the angle HBC is equal to the angle LEF and the angle KCB to the angle MFE . H / K M For the triangle ABC coinciding with DEF the line AB coincides with DE throughout its entire length ; so ...
Σελίδα 25
... produced then the angles on the other side of the base are equal to each other . In the figure of Proposition 5 , let the sides AB , AC , DE , DF be produced respectively to G , H , K , L , it is required to prove that the angles GBC ...
... produced then the angles on the other side of the base are equal to each other . In the figure of Proposition 5 , let the sides AB , AC , DE , DF be produced respectively to G , H , K , L , it is required to prove that the angles GBC ...
Σελίδα 26
... produced , the angles on the other side of the base are equal . Let ABC represent a triangle such that the side AB is equal to the side AC , and let the sides AB , AC be produced to D , E re- spectively ; it is required to prove that ...
... produced , the angles on the other side of the base are equal . Let ABC represent a triangle such that the side AB is equal to the side AC , and let the sides AB , AC be produced to D , E re- spectively ; it is required to prove that ...
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.