The First Book of Euclid's Elements: Arranged for BeginnersMacMillan, 1892 - 167 σελίδες |
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Αποτελέσματα 1 - 5 από τα 10.
Σελίδα 1
... direction whatever . 2. DEFINITION . A limited portion of space is called a solid . Thus a solid is the space occupied by a material thing . For example a cubic lump of iron occupies a portion of space called a cube . The cube and the ...
... direction whatever . 2. DEFINITION . A limited portion of space is called a solid . Thus a solid is the space occupied by a material thing . For example a cubic lump of iron occupies a portion of space called a cube . The cube and the ...
Σελίδα 10
... direction . Space is traced out by a plane which moves always in some given direction . Thus a point when moving in a line has one degree of freedom . A point when moving in a plane has two degrees of freedom ; one along the line ...
... direction . Space is traced out by a plane which moves always in some given direction . Thus a point when moving in a line has one degree of freedom . A point when moving in a plane has two degrees of freedom ; one along the line ...
Σελίδα 13
... direction from that point ; its direction is the manner in which it tends away from the point . The direction of a line CA drawn from C , has nothing whatever to do with the length of CA ; we may make CA as long or as short as we please ...
... direction from that point ; its direction is the manner in which it tends away from the point . The direction of a line CA drawn from C , has nothing whatever to do with the length of CA ; we may make CA as long or as short as we please ...
Σελίδα 14
... direction of CA to the direction of CB . 35. The angle between two straight lines has only to do with their directions , and therefore is quite independent of what the lengths happen to be of the finite lines which indicate those directions ...
... direction of CA to the direction of CB . 35. The angle between two straight lines has only to do with their directions , and therefore is quite independent of what the lengths happen to be of the finite lines which indicate those directions ...
Σελίδα 15
... direction of QR be the same as that of CB . In which case the point R will fall somewhere on the straight line of which CB is a finite portion . Then , the angles coincide , when the direction of QP is the same as that of CA ; in which ...
... direction of QR be the same as that of CB . In which case the point R will fall somewhere on the straight line of which CB is a finite portion . Then , the angles coincide , when the direction of QP is the same as that of CA ; in which ...
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.