The Elements of Euclid for the Use of Schools and Colleges: Comprising the First Six Books and Portions of the Eleventh and Twelfth Books : with Notes, an Appendix, and ExercisesMacmillan, 1867 - 400 sider |
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Side 7
... draw the straight lines CA and CB to the points A and B. [ Post . 1 . ABC shall be an equilateral triangle . Because the point A is the centre of the circle BCD , AC is equal to AB . [ Definition 15 . And because the point B is the ...
... draw the straight lines CA and CB to the points A and B. [ Post . 1 . ABC shall be an equilateral triangle . Because the point A is the centre of the circle BCD , AC is equal to AB . [ Definition 15 . And because the point B is the ...
Side 8
... draw from the point A a straight line equal to BC . From the point A to Bdraw the straight line AB ; [ Post . 1 ... drawn equal to the given straight line BC . Q.E.F. PROPOSITION 3. PROBLEM . From the greater of two given straight lines ...
... draw from the point A a straight line equal to BC . From the point A to Bdraw the straight line AB ; [ Post . 1 ... drawn equal to the given straight line BC . Q.E.F. PROPOSITION 3. PROBLEM . From the greater of two given straight lines ...
Side 16
... draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be the given straight line , and C the given point in it : it is required to draw from the point Ca straight line at right angles to ...
... draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be the given straight line , and C the given point in it : it is required to draw from the point Ca straight line at right angles to ...
Side 17
... draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be pro- duced to any length both ways , and let C be the given point ...
... draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be pro- duced to any length both ways , and let C be the given point ...
Side 34
... draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line it is required to draw a straight line through the point A parallel to the straight line BC . : In ...
... draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line it is required to draw a straight line through the point A parallel to the straight line BC . : In ...
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The Elements of Euclid for the Use of Schools and Colleges Isaac Todhunter Uten tilgangsbegrensning - 1872 |
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... Euclid,Isaac Todhunter Uten tilgangsbegrensning - 1884 |
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... Euclid,Isaac Todhunter Uten tilgangsbegrensning - 1883 |
Vanlige uttrykk og setninger
ABCD angle ABC angle ACB angle BAC angle EDF angles equal Axiom base BC BC is equal bisects the angle centre chord circle ABC circle described circumference Construction Corollary describe a circle diameter double draw a straight equal angles equal to F equiangular equilateral equimultiples Euclid Euclid's Elements exterior angle given circle given point given straight line gnomon Hypothesis inscribed intersect isosceles triangle less Let ABC magnitudes middle point multiple opposite angles opposite sides parallelogram perpendicular plane polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION quadrilateral radius rectangle contained rectilineal figure remaining angle rhombus right angles right-angled triangle segment shew shewn side BC square on AC straight line &c straight line drawn tangent THEOREM touches the circle triangle ABC triangle DEF twice the rectangle vertex Wherefore
Populære avsnitt
Side 286 - 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 30 - 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. either the sides adjacent to the equal...
Side 34 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right angles...
Side 37 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Side 12 - THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal.
Side 302 - Describe a circle which shall pass through a given point and touch a given straight line and a given circle.
Side 220 - If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Side 354 - Prove that the square on any straight line drawn from the vertex of an isosceles triangle to the base, is less than the square on a side of the triangle by the rectangle contained by the segments of the base : and conversely.
Side 104 - The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle.
Side 96 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.