Elements of Geometry |
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Page xiii
... straight line segment PQ . The arc PQ . Quod Erat Demonstrandum ( which was to be proved ) . Q. E. F. , Quod Erat Faciendum ( which was to be done ) . : . , Hence . PAGE 254 254 262 264 265 266 270 272 272.
... straight line segment PQ . The arc PQ . Quod Erat Demonstrandum ( which was to be proved ) . Q. E. F. , Quod Erat Faciendum ( which was to be done ) . : . , Hence . PAGE 254 254 262 264 265 266 270 272 272.
Page xv
... straight line segment PQ . The arc PQ . Quod Erat Demonstrandum ( which was to be proved ) . Q. E. F. , Quod Erat Faciendum ( which was to be done ) . : . , Hence . " INTRODUCTION . GEOMETRY had its origin , as the.
... straight line segment PQ . The arc PQ . Quod Erat Demonstrandum ( which was to be proved ) . Q. E. F. , Quod Erat Faciendum ( which was to be done ) . : . , Hence . " INTRODUCTION . GEOMETRY had its origin , as the.
Page 3
... straight line . Since a straight line is determined by direction , and two points determine direction , two points determine the position of a straight line . If separate straight lines have any point in common there can be but one ...
... straight line . Since a straight line is determined by direction , and two points determine direction , two points determine the position of a straight line . If separate straight lines have any point in common there can be but one ...
Page 4
... line is used without any qualification a straight line is understood . 5. ROTATION AXIOM . If two straight lines intersect , either or both may be moved without changing the point of intersection . They may be brought to coincide ; in ...
... line is used without any qualification a straight line is understood . 5. ROTATION AXIOM . If two straight lines intersect , either or both may be moved without changing the point of intersection . They may be brought to coincide ; in ...
Page 5
... straight line it will contain the entire line . An infinite number of straight lines may lie in a plane . In drawing , a dot upon a plane is used as the repre- sentative of a point , and a mark by chalk , pencil , or pen is used to ...
... straight line it will contain the entire line . An infinite number of straight lines may lie in a plane . In drawing , a dot upon a plane is used as the repre- sentative of a point , and a mark by chalk , pencil , or pen is used to ...
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Common terms and phrases
AB² altitude Analysis apothem approach auxiliary line axis base bisect called centre chord circumference circumscribed polygon coincide cone convex convex polygon corresponding lines curve cylinder decagon determine diagonals diameter dicular diedral distance ellipse equally distant figure Find the locus fixed point frustum Geometry given circle given line given point given segment greater Hence hypothenuse inscribed polygon interior angles isosceles joining lines be drawn middle point move NOTE number of sides oblique parabola parallel parallelogram parallelopiped pass perimeter perpen perpendicular bisector point of intersection position prism PROBLEM pyramids Q. E. D. Exercises quadrangle radii radius ratio re-entrant polygon rectangle regular polygon represent right angles right circular cone right triangle rotation secant Show side opposite similar sphere spherical triangle square subtended surface THEOREM three sides triangular prism triedral vertex vertices volume
Popular passages
Page 25 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 26 - If two triangles have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, the other homologous parts are also equal, and the triangles are equal.