The Elements of Plane GeometryS. Sonnenschein & Company, 1903 |
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Side 9
... called Axioms . 2. Of the Axioms used in Geometry those are termed General which are applicable to magnitudes of all kinds . The following is a list of certain general axioms frequently used : - ( a ) The whole is greater than its part ...
... called Axioms . 2. Of the Axioms used in Geometry those are termed General which are applicable to magnitudes of all kinds . The following is a list of certain general axioms frequently used : - ( a ) The whole is greater than its part ...
Side 14
... called the vertex , and the straight lines are called the arms , of the angle . A line drawn from the vertex and turning about the vertex in the plane of the angle from the position of coincidence with one arm to that of coincidence ...
... called the vertex , and the straight lines are called the arms , of the angle . A line drawn from the vertex and turning about the vertex in the plane of the angle from the position of coincidence with one arm to that of coincidence ...
Side 15
... called the major conjugate , and the smaller the minor conjugate , angle . When the angle contained by two lines is spoken of with- out qualification , the minor conjugate angle is to be understood . It is seldom requisite to consider ...
... called the major conjugate , and the smaller the minor conjugate , angle . When the angle contained by two lines is spoken of with- out qualification , the minor conjugate angle is to be understood . It is seldom requisite to consider ...
Side 16
... called the supplement of the other , or is said to be supplementary to the other . DEF . 17. The opposite angles made by two straight lines that inter- sect are called vertically opposite angles . THEOR . 1. All straight angles are ...
... called the supplement of the other , or is said to be supplementary to the other . DEF . 17. The opposite angles made by two straight lines that inter- sect are called vertically opposite angles . THEOR . 1. All straight angles are ...
Side 21
... called a polygon . DEF . 22. A polygon is said to be convex when no one of its angles is reflex . DEF . 23. A ... called the base , and the opposite angular point is then called the vertex . DEF . 29. An isosceles triangle is that which ...
... called a polygon . DEF . 22. A polygon is said to be convex when no one of its angles is reflex . DEF . 23. A ... called the base , and the opposite angular point is then called the vertex . DEF . 29. An isosceles triangle is that which ...
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The Elements of Plane Geometry ... Association for the improvement of geometrical teaching Uten tilgangsbegrensning - 1884 |
Vanlige uttrykk og setninger
ABCD AC is equal adjacent angles altitude angle ABC angle ACB angle BAC angle DAE angle DEF angle equal angle HBK base bisectors chord HK circle ABC circle whose centre circles DEF circles touch circumscribed circle coincide Constr diagonal diameter distance equal circles equal to AC equiangular exterior angle externally given angle given circle given point given ratio given straight line greater Hence hypotenuse identically equal inscribed circle isosceles triangle less Let ABC line joining magnitudes meet the circumference middle point minor arc multiple nine-points circle opposite angle opposite sides orthocentre parallelogram perpendicular point of contact polygon Prob produced proportional Prove Q.E.D. THEOR quadrilateral radii radius ratio compounded rectangle AC rectangle contained rectilineal figure rhombus right angles Shew side BC squares on BD straight line drawn tangent Theorem triangle ABC triangle DEF twice the rectangle vertical angle
Populære avsnitt
Side 41 - 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.
Side 182 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle,. shall be equal to the square of the line which touches it.
Side 67 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Side 167 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 32 - Any two sides of a triangle are together greater than the third side.
Side 34 - Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest.
Side 23 - The lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal.
Side 63 - If there are three or more parallel straight lines, and the intercepts made by them on any straight line that cuts them are equal, then the corresponding intercepts on any other straight line that cuts them are also equal.
Side 39 - 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.
Side 106 - Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.