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 σελίδες |
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Αποτελέσματα 1 - 5 από τα 6.
Σελίδα 37
... THEO R. IF , in in a circle , a right line be drawn through the centre , cutting another line not drawn through the centre , into two equal parts , it ball cut it at right angles ; and if it cut it at right angles , it fball cut it into ...
... THEO R. IF , in in a circle , a right line be drawn through the centre , cutting another line not drawn through the centre , into two equal parts , it ball cut it at right angles ; and if it cut it at right angles , it fball cut it into ...
Σελίδα 43
... THEO R. HE diameter of a circle is the greatest right line in it , and the line nearest to the diameter is greater than that more remote ; and on each fide of the diameter only two right lines can be drawn equal to one another . a 3 . f ...
... THEO R. HE diameter of a circle is the greatest right line in it , and the line nearest to the diameter is greater than that more remote ; and on each fide of the diameter only two right lines can be drawn equal to one another . a 3 . f ...
Σελίδα 50
... THEO R. THE angle in a femicircle is a right angle , and the angle in a Segment greater than a femicircle is lefs than a right angle , and the angle in a fegment less than a femicircle , is greater than a right angle . Let the angle BAC ...
... THEO R. THE angle in a femicircle is a right angle , and the angle in a Segment greater than a femicircle is lefs than a right angle , and the angle in a fegment less than a femicircle , is greater than a right angle . Let the angle BAC ...
Σελίδα 78
... THEO R. TF there be three magnitudes , and others equal to them in num- ber , which , taken two and two in each order , are in the fame ratio ; and , if the proportion be perturbate ; if the first magnitude be greater than the third ...
... THEO R. TF there be three magnitudes , and others equal to them in num- ber , which , taken two and two in each order , are in the fame ratio ; and , if the proportion be perturbate ; if the first magnitude be greater than the third ...
Σελίδα 88
... THEO R. QUAL parallelograms and triangles , having the one equal to one angle of the other , have the fides about the equal angles reciprocally proportional ; and these parallelograms and triangles that have , one angle of the one equal ...
... THEO R. QUAL parallelograms and triangles , having the one equal to one angle of the other , have the fides about the equal angles reciprocally proportional ; and these parallelograms and triangles that have , one angle of the one equal ...
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The Elements of Euclid: In Which the Propositions Are Demonstrated in a New ... Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 91 - BAC was proved to be equal to ACD : Therefore the whole angle ACE is equal to the two angles ABC, BAC...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.