The Elements of Euclid: In which the Propositions are Demonstrated in a New and Shorter Manner Than in Former Translations, and the Arrangement of Many of Them Altered, to which are Annexed Plain and Spherical Trigonometry, Tables of Logarithms from 1 to 10,000, and Tables of Sines, Tangents, and Secants, Natural and Artificialauthor, and sold, 1776 - 264 sider |
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Side 38
... passing through the center is greater than that more remote ; and , on each fide of the diameter , only two right lines can be drawn from that point to the circumference equal to one another . Let F be a point in the diameter of the ...
... passing through the center is greater than that more remote ; and , on each fide of the diameter , only two right lines can be drawn from that point to the circumference equal to one another . Let F be a point in the diameter of the ...
Side 39
... passing through the center , and the other falling upon the concave part of the circumference , the greatest of thefe lines is that paffing through the center ; and the line nearer to that , paffing through the center , is greater than ...
... passing through the center , and the other falling upon the concave part of the circumference , the greatest of thefe lines is that paffing through the center ; and the line nearer to that , paffing through the center , is greater than ...
Side 119
... passing through the di- agonals of two oppofite plains , that folid will be bifected by the plain . b 24 . If the folid parallelopipedon AB be cut by the plain GAEF , palling through the diagonals GF , AE , of two oppofite plains , then ...
... passing through the di- agonals of two oppofite plains , that folid will be bifected by the plain . b 24 . If the folid parallelopipedon AB be cut by the plain GAEF , palling through the diagonals GF , AE , of two oppofite plains , then ...
Side 160
... passes through the pole ; and the remainder of it is the leaft ; and the arch nearer to that , paffing through the pole , is greater than that more remote ; and they make obtufe angles with the great circle . Let AFBE be a great circle ...
... passes through the pole ; and the remainder of it is the leaft ; and the arch nearer to that , paffing through the pole , is greater than that more remote ; and they make obtufe angles with the great circle . Let AFBE be a great circle ...
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The Elements of Euclid: In Which the Propositions Are Demonstrated in a New ... Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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Populære avsnitt
Side 80 - 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 72 - F, equal to them in number, be taken two and two in the fame ratio, and if their analogy be perturbate, viz. as A is to B, fo is E to F, and B to C as D to E ; and if the firft A be greater than the third C, then the fourth D will be greater than the fixth F ; if equal, equal ; and, if lefs, lefs.
Side 91 - BAC was proved to be equal to ACD : Therefore the whole angle ACE is equal to the two angles ABC, BAC...
Side x - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles, these straight lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles.
Side 54 - Let ABC be the given circle, and D the given straight line, not greater than the diameter of the circle. It is required to place in the circle ABC a straight line equal to D.
Side 9 - 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.
Side 13 - From this it is manifest that if one angle of a triangle be equal to the other two it is a right angle, because the angle adjacent to it is equal to the same two ; (i.
Side 69 - Let AB be the fame multiple of C, that DE is of F : C is to F, as AB to DE. Becaufe AB is the fame multiple of C that DE is of F ; there are as many magnitudes in AB equal to C, as there are in...
Side 91 - BGC: for the same reason, whatever multiple the circumference EN is of the circumference EF, the same multiple is the angle EHN of the angle EHF: and if the circumference BL be equal to the circumference EN, the angle BGL is also equal to the angle EHN ; (in.
Side 80 - ... reciprocally proportional, are equal to one another. Let AB, BC be equal parallelograms which have the angles at B equal, and let the sides DB, BE be placed in the same straight line ; wherefore also FB, BG are in one straight line (2.