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 20.
Σελίδα 36
... ABCD shall be equal to the parallelogram EBOF . If the fides AD , DF of the A parallelograms ABCD , DBCF opposite to the base . BC be ter- minated in the same point D ; it is plain that each of the pa- rallelograms is double a of the ...
... ABCD shall be equal to the parallelogram EBOF . If the fides AD , DF of the A parallelograms ABCD , DBCF opposite to the base . BC be ter- minated in the same point D ; it is plain that each of the pa- rallelograms is double a of the ...
Σελίδα 37
... ABCD , EFGH A be parallelograms upon equal bases BC , FG , and between the same parallels AH , BG ; the parallelogram ABCD is equal to EFGH . DE C F G Join BE , CH ; and B because BC is equal to FG , and FG to a EH , BC is equal to a 34 ...
... ABCD , EFGH A be parallelograms upon equal bases BC , FG , and between the same parallels AH , BG ; the parallelogram ABCD is equal to EFGH . DE C F G Join BE , CH ; and B because BC is equal to FG , and FG to a EH , BC is equal to a 34 ...
Σελίδα 41
... ABCD is A double of the triangle EBC . D F Book I. Join AC ; then the triangle ABC is equal a to the triangle EBC , because they are upon the same base BC , and between the a 37. 1 . fame parallels BC , AE . But the parallelogram ABCD ...
... ABCD is A double of the triangle EBC . D F Book I. Join AC ; then the triangle ABC is equal a to the triangle EBC , because they are upon the same base BC , and between the a 37. 1 . fame parallels BC , AE . But the parallelogram ABCD ...
Σελίδα 42
... ABCD be a parallelogram , of which the diameter is AC ; let EH , FG the parallelograms about AC , that is , thro ' which AC passes , and BK , KD A H D the other parallelograms which make up the whole figure ABCD , which are therefore ...
... ABCD be a parallelogram , of which the diameter is AC ; let EH , FG the parallelograms about AC , that is , thro ' which AC passes , and BK , KD A H D the other parallelograms which make up the whole figure ABCD , which are therefore ...
Σελίδα 44
... ABCD be the given rectilineal figure , and E the gi- ven rectilineal angle . It is required to describe a parallelo- gram equal to ABCD , and having an angle equal to E. 1 b 44. I. Join DB , and describe a the parallelogram FH equal ...
... ABCD be the given rectilineal figure , and E the gi- ven rectilineal angle . It is required to describe a parallelo- gram equal to ABCD , and having an angle equal to E. 1 b 44. I. Join DB , and describe a the parallelogram FH equal ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD alfo alſo 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 drawn equal angles equiangular 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 perpendicular plane polygon priſm proportionals propoſition Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles ſame ſame baſe ſame manner ſame ratio ſecond ſection ſegment ſemicircle ſhall 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 27 - 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 165 - 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 18 - 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 33 - 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 166 - 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 54 - 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...