 | Education - 1918 - 984 pages
...obvious geometric facts which he expects to use as assumptions in later proofs, such as the following: (1) All straight angles are equal; (2) All right angles...straight line ; (5) Any side of a triangle is less than thesum of the othertwosides; (6) Adiameter bisects a circle; (7) A straight line intersects a circle... | |
 | Education - 1911 - 946 pages
...may be stated as assumptions, or may be given such informal proof as the circumstances may demand.) 1. All straight angles are equal." [*] 2. All right angles are equal. [*] 3. The sum of two adjacent angles whose exterior sides lie in the same straight line equals a straight angle.... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...third. How many degrees are there in each ? Group II. Exercises dependent on Definitions and Axioms 1. All straight angles are equal. 2. All right angles are equal. 3. The complements of equal angles are equal. 4. The supplements of equal angles are equal. 5. A line drawn... | |
 | United States. Office of Education - 1921 - 1286 pages
...possible to draw one straight line, and only one. 2. A line segment may be producedto any desired length. 3. The shortest path between two points is the line segment joining them. 4. One and only one perpendicular can be drawn through a given point to a given straight line.... | |
 | Education - 1921 - 1190 pages
...possible to draw one straight line, and only one. 2. A line segment may be produced torany desired length. 3. The shortest path between two points is the line segment joining them. 4. One and only one perpendicular can be drawn through a given point to a given straight line.... | |
 | National Committee on Mathematical Requirements - Mathematics - 1922 - 84 pages
...possible to draw one straight line, and only one. 2. A line segment may be produced to any desired length. 3. The shortest path between two points is the line segment joining them. 4. One and only one perpendicular can be drawn through a given point to a given Btraight line.... | |
 | National Committee on Mathematical Requirements - Mathematics - 1923 - 680 pages
...possible to draw one straight line, and only one. 2. A line segment may be produced to any desired length. 3. The shortest path between two points is the line segment joining them. 4. One and only one perpendicular can be drawn through a given point to a given straight line.... | |
 | Jacob William Albert Young - Mathematics - 1924 - 484 pages
...possible to draw one straight line, and only one. 2. A line segment may be produced to any desired length. 3. The shortest path between two points is the line segment joining them. 4. One and only one perpendicular can be drawn through a given point to a given straight line.... | |
 | Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...possible to draw one straight line, and only one. 2. A line segment may be produced to any desired length. 3. The shortest path between two points is the line segment joining them. 4. One and only one perpendicular can be drawn through a given point to a given straight line.... | |
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The list should be taken as representative of the type of propositions which may be assumed, or treated informally, rather than as exhaustive. 1. Through two distinct points it is possible to draw one straight line, and only one. 2. A line segment may... 