Elements of Geometry;: Containing the First Six Books of Euclid, with Two Books on the Geometry of Solids. To which are Added, Elements of Plane and Spherical TrigonometryBell & Bradfute, and G. G. & J. Robinson, London., 1795 - 400 σελίδες |
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Αποτελέσματα 1 - 5 από τα 29.
Σελίδα 155
... greater fegment , as the greater fegment is to the lefs . IV . The altitude of any figure is the straight line drawn from its vertex perpendi- cular to the base . 1 PROP . Book VI . 1 Book VI . PROP . I. THEOR . RIANGLES and ELEMENTS ...
... greater fegment , as the greater fegment is to the lefs . IV . The altitude of any figure is the straight line drawn from its vertex perpendi- cular to the base . 1 PROP . Book VI . 1 Book VI . PROP . I. THEOR . RIANGLES and ELEMENTS ...
Σελίδα 156
... altitude , viz . the perpendicular drawn from the point A to BD : Then , as the base BC is to the base CD , fo is the triangle ABC to the triangle ACD , and the paral- lelogram EC to the parallelogram CF. E A F Produce BD both ways to ...
... altitude , viz . the perpendicular drawn from the point A to BD : Then , as the base BC is to the base CD , fo is the triangle ABC to the triangle ACD , and the paral- lelogram EC to the parallelogram CF. E A F Produce BD both ways to ...
Σελίδα 157
... altitudes , are one to another as their bafes . Let the figures be placed fo as to have their bases in the fame ftraight line , and having drawn perpendiculars from the vertices of the triangles to the bafes , the ftraight line which ...
... altitudes , are one to another as their bafes . Let the figures be placed fo as to have their bases in the fame ftraight line , and having drawn perpendiculars from the vertices of the triangles to the bafes , the ftraight line which ...
Σελίδα 158
... altitude , viz . the perpendicular drawn from the point E to AB , they are to one another as their bases ; and for the fame reason , as the triangle CDE to the triangle ADE , fo is 11.5 CE to EA . Therefore , as BD to DA , fo is CE to ...
... altitude , viz . the perpendicular drawn from the point E to AB , they are to one another as their bases ; and for the fame reason , as the triangle CDE to the triangle ADE , fo is 11.5 CE to EA . Therefore , as BD to DA , fo is CE to ...
Σελίδα 230
... altitude , the infifting ftraight lines of which are terminated in the fame ftraight lines in the plane oppofite to the base , are equal to one another . Let the folid parallelopipeds AH , AK be upon the fame bafe AB , and of the fame ...
... altitude , the infifting ftraight lines of which are terminated in the fame ftraight lines in the plane oppofite to the base , are equal to one another . Let the folid parallelopipeds AH , AK be upon the fame bafe AB , and of the fame ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Elements of Geometry: Containing the First Six Books of Euclid, With Two ... Formerly Chairman Department of Immunology John Playfair,John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles alfo alfo equal alſo angle ABC angle ACB angle BAC arch bafe baſe BC is equal becauſe the angle bifected Book VII cafe centre circle ABC circumference co-fine defcribed demonftrated diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle faid fame manner fame ratio fame reaſon fecond fection fegment femicircle fhewn fimilar fince firft firſt folid fore fquare of AC ftraight line AB fuch given ſtraight line greater impoffible infcribed interfection join lefs leſs Let ABC line BC magnitudes muſt oppofite angle parallel parallelepiped parallelogram perpendicular polygon prifm propofition proportionals radius rectangle contained rectilineal figure remaining angle right angles ſpace ſpherical triangle ſquare tangent thefe THEOR theſe thoſe touches the circle triangle ABC wherefore
Δημοφιλή αποσπάσματα
Σελίδα 18 - 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...
Σελίδα 155 - 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 17 - If, at a point in a straight line, two other straight lines upon the opposite sides of it, make the adjacent angles, together equal to two right angles, these two straight lines shall be in one and the same straight line.
Σελίδα 9 - Wherefore, from the given point A, a straight line AL has been drawn equal to the given straight line BC.
Σελίδα 3 - 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.
Σελίδα 23 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 12 - ABC: and it has also been proved that the angle FBC is equal to the angle GCB, which are the angles upon the other side of the base. Therefore the angles at the base, &c.
Σελίδα 6 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 156 - But by the hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are equal : And the angle at A is equal to the angle at D ; wherefore...
Σελίδα 44 - 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...