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, 1795 - 400 σελίδες |
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Αποτελέσματα 1 - 5 από τα 39.
Σελίδα xii
... sums and differ- ences of arches , which are the foundation of those new applications of Trigonometry that have been introduced with so much advantage into the high- er Geometry . In the Spherical Trigonometry , the rules for preventing ...
... sums and differ- ences of arches , which are the foundation of those new applications of Trigonometry that have been introduced with so much advantage into the high- er Geometry . In the Spherical Trigonometry , the rules for preventing ...
Σελίδα 54
... sum and difference . PROP . VI . THEO R. F 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 , to- gether with the square of half the line ...
... sum and difference . PROP . VI . THEO R. F 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 , to- gether with the square of half the line ...
Σελίδα 56
... sum of the squares of any two lines is " equal to twice the rectangle contained by the lines together " with the square of the difference of the lines . " PROP . VIII . THEOR . Fa straight line be divided into any two parts , TH four ...
... sum of the squares of any two lines is " equal to twice the rectangle contained by the lines together " with the square of the difference of the lines . " PROP . VIII . THEOR . Fa straight line be divided into any two parts , TH four ...
Σελίδα 57
... sum , and AC the dif- " ference of the lines AB and BC , four times the rectangle " contained by any two lines together with the square of their difference , is is equal to the square of the sum of the 66 " lines . " " COR . 2. From the ...
... sum , and AC the dif- " ference of the lines AB and BC , four times the rectangle " contained by any two lines together with the square of their difference , is is equal to the square of the sum of the 66 " lines . " " COR . 2. From the ...
Σελίδα 65
... sum of See N. the squares of the other two fides is double of the square of half the fide bisected , and of the square of the line drawn from the point of bisection to the oppofite angle of the triangle . 1 1 Let ABC be a triangle , of ...
... sum of See N. the squares of the other two fides is double of the square of half the fide bisected , and of the square of the line drawn from the point of bisection to the oppofite angle of the triangle . 1 1 Let ABC be a triangle , of ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry: Containing the First Six Books of Euclid; With Two ... Formerly Chairman Department of Immunology John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD alfo alſo alſo equal angle ABC angle ACB angle BAC arch baſe baſe BC BC is equal becauſe becauſe the angle biſected Book VII caſe cauſe centre circle ABC circumference co-fine demonſtrated deſcribed diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fame reaſon fides fimilar fince firſt folid fore given ſtraight line greater inſcribed interfect join leſs Let ABC line BC magnitudes oppoſite parallel parallelepiped parallelogram paſs paſſes perpendicular plane polygon priſm proportionals propoſition Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles ſame ſame manner ſame ratio ſecond ſection ſegment ſhall be equal ſhewn ſide ſolid ſpace ſpherical triangle ſquare of AC ſtand ſuch ſum ſuppoſed tangent THEOR theſe thoſe touches the circle triangle ABC wherefore
Δημοφιλή αποσπάσματα
Σελίδα 19 - 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...