The Elements of Plane GeometryS. Sonnenschein & Company, 1903 |
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Side 16
... THEOR . 1. All straight angles are equal to one another . Let AB , AC be the arms of a straight angle , whose vertex is A , and DE , DF the arms of another straight angle , whose vertex is D : B A E then shall the straight angle ...
... THEOR . 1. All straight angles are equal to one another . Let AB , AC be the arms of a straight angle , whose vertex is A , and DE , DF the arms of another straight angle , whose vertex is D : B A E then shall the straight angle ...
Side 17
... THEOR . 2. If a straight line stands upon another straight line , it makes the adjacent angles together equal to two right angles . Let the straight line AB stand upon the straight line CD : B A then shall the angles ABC , ABD be ...
... THEOR . 2. If a straight line stands upon another straight line , it makes the adjacent angles together equal to two right angles . Let the straight line AB stand upon the straight line CD : B A then shall the angles ABC , ABD be ...
Side 18
... THEOR . 3. If the adjacent angles made by one straight line with two others are together equal to two right angles , these two straight lines are in one straight line . Let the adjacent angles ABC , ABD which the straight line AB makes ...
... THEOR . 3. If the adjacent angles made by one straight line with two others are together equal to two right angles , these two straight lines are in one straight line . Let the adjacent angles ABC , ABD which the straight line AB makes ...
Side 24
Association for the Improvement of Geometrical Teaching. THEOR . 6. If two triangles have two angles of the one equal to two angles of the other , each to each , and have like- wise the sides between the vertices of those angles equal ...
Association for the Improvement of Geometrical Teaching. THEOR . 6. If two triangles have two angles of the one equal to two angles of the other , each to each , and have like- wise the sides between the vertices of those angles equal ...
Side 25
... THEOR . 7. If two sides of a triangle are equal , the angles opposite to those sides are equal . Let ABC be a triangle having the side AB equal to the side AC : да then shall the angle ACB be equal to the angle ABC . Let A'B'C ' be a ...
... THEOR . 7. If two sides of a triangle are equal , the angles opposite to those sides are equal . Let ABC be a triangle having the side AB equal to the side AC : да then shall the angle ACB be equal to the angle ABC . Let A'B'C ' be a ...
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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.