The First Book of Euclid's Elements: Arranged for BeginnersMacMillan, 1892 - 167 σελίδες |
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Σελίδα 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 ... ACB . 34. DEF . The angle contained by two straight lines ANGLES . 13 Angles.
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 ... ACB . 34. DEF . The angle contained by two straight lines ANGLES . 13 Angles.
Σελίδα 14
... angle contained by the straight lines CA , CB is the amount of turning about C which a line would go through in turning in the plane of ACB from the direction of CA to the direction of CB . 35. The angle between two straight lines has ...
... angle contained by the straight lines CA , CB is the amount of turning about C which a line would go through in turning in the plane of ACB from the direction of CA to the direction of CB . 35. The angle between two straight lines has ...
Σελίδα 15
... angle ACB ; or , the angle DCG ; or , the angle ECH ; etc. These are different names for the same angle . 37 . Equality of Angles . Two angles ACB and PQR are equal if they can be applied to one another so as to coincide . B R To apply the ...
... angle ACB ; or , the angle DCG ; or , the angle ECH ; etc. These are different names for the same angle . 37 . Equality of Angles . Two angles ACB and PQR are equal if they can be applied to one another so as to coincide . B R To apply the ...
Σελίδα 16
... angle ACB is greater than PQR , as in the above figure , then if the angle PQR is applied to ACB so that Q is on C and P somewhere on AC it will take up a position like that indicated by P'CR ' . B R P 40. When an angle ACB is less than ...
... angle ACB is greater than PQR , as in the above figure , then if the angle PQR is applied to ACB so that Q is on C and P somewhere on AC it will take up a position like that indicated by P'CR ' . B R P 40. When an angle ACB is less than ...
Σελίδα 23
... angle AEB is equal to the angle ADC . 8. ABCD is a four - sided figure such that AB = BC and BD bisects the angle ABC ; prove that AD = CD and that BD bisects the area of the figure ABCD , and also bisects the angle ADC . 9. ACB is a ...
... angle AEB is equal to the angle ADC . 8. ABCD is a four - sided figure such that AB = BC and BD bisects the angle ABC ; prove that AD = CD and that BD bisects the area of the figure ABCD , and also bisects the angle ADC . 9. ACB is a ...
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.