October 2012: Early uses of solid geometry.
October 2012: Early uses of solid geometry.
October 2012: Early uses of solid geometry.
October 2012: Early uses of solid geometry.
November 2012: Figures of solid geometry.
November 2012: Figures of solid geometry.
November 2012: Figures of solid geometry.
November 2012: Figures of solid geometry.
December 2012: The axioms and postulates of plane geometry.
December 2012: The axioms and postulates of plane geometry.
December 2012: The axioms and postulates of plane geometry.
December 2012: The axioms and postulates of plane geometry.
January 2013: Exact definition of a plane.
January 2013: Exact definition of a plane.
January 2013: Exact definition of a plane.
January 2013: Exact definition of a plane.
February 2013: The Use of the Word "Determine".
February 2013: The Use of the Word "Determine".
February 2013: The Use of the Word "Determine".
February 2013: The Use of the Word "Determine".
March 2013: How a plane is determined.
March 2013: How a plane is determined.
March 2013: How a plane is determined.
March 2013: How a plane is determined.
April 2013: Postulate 20. (1) A straight line and an outside point determine a plane. (2) Three non-collinear points determine a plane. (3) Two intersecting lines determine a plane.
April 2013: Postulate 20. (1) A straight line and an outside point determine a plane. (2) Three non-collinear points determine a plane. (3) Two intersecting lines determine a plane.
April 2013: Postulate 20. (1) A straight line and an outside point determine a plane. (2) Three non-collinear points determine a plane. (3) Two intersecting lines determine a plane.
April 2013: Postulate 20. (1) A straight line and an outside point determine a plane. (2) Three non-collinear points determine a plane. (3) Two intersecting lines determine a plane.
May 2013: Points that lie on the same straight line are said to be collinear. Points that lie on the same plane are said to be coplanar.
May 2013: Points that lie on the same straight line are said to be collinear. Points that lie on the same plane are said to be coplanar.
May 2013: Points that lie on the same straight line are said to be collinear. Points that lie on the same plane are said to be coplanar.
May 2013: Points that lie on the same straight line are said to be collinear. Points that lie on the same plane are said to be coplanar.
June 2013: Intersection.
June 2013: Intersection.
June 2013: Intersection.
June 2013: Intersection.
July 2013: Postulate 21. If two planes intersect, they have at least two points in common.
July 2013: Postulate 21. If two planes intersect, they have at least two points in common.
July 2013: Postulate 21. If two planes intersect, they have at least two points in common.
July 2013: Postulate 21. If two planes intersect, they have at least two points in common.
August 2013: The Intersection of two lines.
August 2013: The Intersection of two lines.
August 2013: The Intersection of two lines.
September 2013: A line perpendicular to a plane.
September 2013: A line perpendicular to a plane.
September 2013: A line perpendicular to a plane.
September 2013: A line perpendicular to a plane.
October 2013: If a line is perpendicular to each of two intersecting lines at their point of intersection, it is perpendicular to the plane according to the lines.
October 2013: If a line is perpendicular to each of two intersecting lines at their point of intersection, it is perpendicular to the plane according to the lines.
October 2013: If a line is perpendicular to each of two intersecting lines at their point of intersection, it is perpendicular to the plane according to the lines.
October 2013: If a line is perpendicular to each of two intersecting lines at their point of intersection, it is perpendicular to the plane according to the lines.
November 2013: Corollary 1. A plane can be drawn perpendicular to a given line at a given point on the line.
November 2013: Corollary 1. A plane can be drawn perpendicular to a given line at a given point on the line.
November 2013: Corollary 1. A plane can be drawn perpendicular to a given line at a given point on the line.
November 2013: Corollary 1. A plane can be drawn perpendicular to a given line at a given point on the line.
December 2013: Corollary 2. Only one plane can be drawn perpendicular to a given line at a given point of the line.
December 2013: Corollary 2. Only one plane can be drawn perpendicular to a given line at a given point of the line.
December 2013: Corollary 2. Only one plane can be drawn perpendicular to a given line at a given point of the line.
December 2013: Corollary 2. Only one plane can be drawn perpendicular to a given line at a given point of the line.
January 2014: Corollary 3. A plane can be drawn perpendicular to a given line on a given point not in the line.
January 2014: Corollary 3. A plane can be drawn perpendicular to a given line on a given point not in the line.
January 2014: Corollary 3. A plane can be drawn perpendicular to a given line on a given point not in the line.
January 2014: Corollary 3. A plane can be drawn perpendicular to a given line on a given point not in the line.
October 2012: Early uses of solid geometry.
October 2012: Early uses of solid geometry.
October 2012: Early uses of solid geometry.
October 2012: Early uses of solid geometry.
November 2012: Figures of solid geometry.
November 2012: Figures of solid geometry.
November 2012: Figures of solid geometry.
November 2012: Figures of solid geometry.
December 2012: The axioms and postulates of plane geometry.
December 2012: The axioms and postulates of plane geometry.
December 2012: The axioms and postulates of plane geometry.
December 2012: The axioms and postulates of plane geometry.
January 2013: Exact definition of a plane.
January 2013: Exact definition of a plane.
January 2013: Exact definition of a plane.
January 2013: Exact definition of a plane.
February 2013: The Use of the Word "Determine".
February 2013: The Use of the Word "Determine".
February 2013: The Use of the Word "Determine".
February 2013: The Use of the Word "Determine".
March 2013: How a plane is determined.
March 2013: How a plane is determined.
March 2013: How a plane is determined.
March 2013: How a plane is determined.
April 2013: Postulate 20. (1) A straight line and an outside point determine a plane. (2) Three non-collinear points determine a plane. (3) Two intersecting lines determine a plane.
April 2013: Postulate 20. (1) A straight line and an outside point determine a plane. (2) Three non-collinear points determine a plane. (3) Two intersecting lines determine a plane.
April 2013: Postulate 20. (1) A straight line and an outside point determine a plane. (2) Three non-collinear points determine a plane. (3) Two intersecting lines determine a plane.
April 2013: Postulate 20. (1) A straight line and an outside point determine a plane. (2) Three non-collinear points determine a plane. (3) Two intersecting lines determine a plane.
May 2013: Points that lie on the same straight line are said to be collinear. Points that lie on the same plane are said to be coplanar.
May 2013: Points that lie on the same straight line are said to be collinear. Points that lie on the same plane are said to be coplanar.
May 2013: Points that lie on the same straight line are said to be collinear. Points that lie on the same plane are said to be coplanar.
May 2013: Points that lie on the same straight line are said to be collinear. Points that lie on the same plane are said to be coplanar.
June 2013: Intersection.
June 2013: Intersection.
June 2013: Intersection.
June 2013: Intersection.
July 2013: Postulate 21. If two planes intersect, they have at least two points in common.
July 2013: Postulate 21. If two planes intersect, they have at least two points in common.
July 2013: Postulate 21. If two planes intersect, they have at least two points in common.
July 2013: Postulate 21. If two planes intersect, they have at least two points in common.
August 2013: The Intersection of two lines.
August 2013: The Intersection of two lines.
August 2013: The Intersection of two lines.
September 2013: A line perpendicular to a plane.
September 2013: A line perpendicular to a plane.
September 2013: A line perpendicular to a plane.
September 2013: A line perpendicular to a plane.
October 2013: If a line is perpendicular to each of two intersecting lines at their point of intersection, it is perpendicular to the plane according to the lines.
October 2013: If a line is perpendicular to each of two intersecting lines at their point of intersection, it is perpendicular to the plane according to the lines.
October 2013: If a line is perpendicular to each of two intersecting lines at their point of intersection, it is perpendicular to the plane according to the lines.
October 2013: If a line is perpendicular to each of two intersecting lines at their point of intersection, it is perpendicular to the plane according to the lines.
November 2013: Corollary 1. A plane can be drawn perpendicular to a given line at a given point on the line.
November 2013: Corollary 1. A plane can be drawn perpendicular to a given line at a given point on the line.
November 2013: Corollary 1. A plane can be drawn perpendicular to a given line at a given point on the line.
November 2013: Corollary 1. A plane can be drawn perpendicular to a given line at a given point on the line.
December 2013: Corollary 2. Only one plane can be drawn perpendicular to a given line at a given point of the line.
December 2013: Corollary 2. Only one plane can be drawn perpendicular to a given line at a given point of the line.
December 2013: Corollary 2. Only one plane can be drawn perpendicular to a given line at a given point of the line.
December 2013: Corollary 2. Only one plane can be drawn perpendicular to a given line at a given point of the line.
January 2014: Corollary 3. A plane can be drawn perpendicular to a given line on a given point not in the line.
January 2014: Corollary 3. A plane can be drawn perpendicular to a given line on a given point not in the line.
January 2014: Corollary 3. A plane can be drawn perpendicular to a given line on a given point not in the line.
January 2014: Corollary 3. A plane can be drawn perpendicular to a given line on a given point not in the line.
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