Euclid Revised: Containing the Essentials of the Elements of Plane Geometry as Given by Euclid in His First Six Books, with Numerous Additional Propositions and ExercisesClarendon Press, 1890 - 400 σελίδες |
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Αποτελέσματα 1 - 5 από τα 87.
Σελίδα 1
... drawn from any one point to any other point . Note - When we draw a straight line from a point A to a point B , we are said to ' join AB ' ; and for brevity the line terminated at A and B may be called ' the join of AB . ' Post . Let it ...
... drawn from any one point to any other point . Note - When we draw a straight line from a point A to a point B , we are said to ' join AB ' ; and for brevity the line terminated at A and B may be called ' the join of AB . ' Post . Let it ...
Σελίδα 4
... drawing of a straight line are usually taken to mean that the use of an ungraduated straight - edge is permitted . But clearly this is not drawing a straight line in the same sense in which compasses draw a circle . The analogous mode of ...
... drawing of a straight line are usually taken to mean that the use of an ungraduated straight - edge is permitted . But clearly this is not drawing a straight line in the same sense in which compasses draw a circle . The analogous mode of ...
Σελίδα 5
... drawing a straight line , similar to the mechanical way in which compasses draw a circle , was known . But in that year such a way was discovered by M. Peaucellier , a French engineer officer . The instrument he devised is known as ...
... drawing a straight line , similar to the mechanical way in which compasses draw a circle , was known . But in that year such a way was discovered by M. Peaucellier , a French engineer officer . The instrument he devised is known as ...
Σελίδα 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 st . line ; P the given point in it . Take any pt . X in AP ; and in PB take Y , so that A X P Y B PY = PX . On XY ...
... draw a straight line at right angles to a given straight line from a given point in the same . Let AB be the given st . line ; P the given point in it . Take any pt . X in AP ; and in PB take Y , so that A X P Y B PY = PX . On XY ...
Σελίδα 17
... draw a straight line perpendicular to a given straight line , of unlimited length , from a given point without it ... drawn , as in Prop . 11 , from a point in a given line , so as to form two right angles with it , is said to be drawn ...
... draw a straight line perpendicular to a given straight line , of unlimited length , from a given point without it ... drawn , as in Prop . 11 , from a point in a given line , so as to form two right angles with it , is said to be drawn ...
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD Addenda altitude base bisector bisects centre of similitude chord circum-circle circumf circumference coincide collinear concyclic corners cross-ratio cyclic quadrilateral diag diagonals diam diameter divided draw drawn equal angles equiang Euclid find the Locus fixed circle fixed line fixed point given circle given line given point harmonic conjugates inscribed intersection inverse Join Let ABC magnitudes meet mid point mid pt Note-The NOTE-Use opposite sides pair parallel parallelogram pedal triangle perpendicular polygon PROBLEM-To produced Prop Proposition Proposition 13 Ptolemy's Theorem quad radical axis radii radius ratio rect rectangle rectilineal figure respectively right angles segments segt Similarly simr Simson's Line square straight line tang tangents THEOREM THEOREM-If touch triangle ABC variable
Δημοφιλή αποσπάσματα
Σελίδα 251 - 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.
Σελίδα 29 - 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.
Σελίδα 150 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Σελίδα 91 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.
Σελίδα 82 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Σελίδα 37 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.
Σελίδα 44 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 84 - 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.
Σελίδα 22 - Any two sides of a triangle are together greater than the third side.
Σελίδα 87 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square...