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 10000, and Tables of Sines, Tangents, and Secants, Both Natural and ArtificialJ. Murray, no. 32. Fleetstreet; and C. Elliot, Parliament-square, Edinburgh., 1776 - 264 σελίδες |
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Αποτελέσματα 1 - 5 από τα 38.
Σελίδα 11
... THEOR . Fone fide of a triangle be produced , the outward angle will be greater than either of the inward oppofite angles . Let ABC be a triangle , and one of its fides BC be produced to D , the outward angle ACD will be greater than ...
... THEOR . Fone fide of a triangle be produced , the outward angle will be greater than either of the inward oppofite angles . Let ABC be a triangle , and one of its fides BC be produced to D , the outward angle ACD will be greater than ...
Σελίδα 20
... THEOR . HE oppofite fides and oppofite angles of every parallelo- gram are equal ; and the diameter divides it into two equal parts . Let ABCD be a parallelogram , the oppofite fides AB , CD , AC , BD , are equal ; the angle CAB equal ...
... THEOR . HE oppofite fides and oppofite angles of every parallelo- gram are equal ; and the diameter divides it into two equal parts . Let ABCD be a parallelogram , the oppofite fides AB , CD , AC , BD , are equal ; the angle CAB equal ...
Σελίδα 21
... THEOR . QUAL triangles , conftitute upon the fame bafe , on the fame fide , are between the fame parallels . Let the equal triangles ABC , DBC , be conftitute upon the fame bafe , BC , on the fame fide ; the right line AD , that joins ...
... THEOR . QUAL triangles , conftitute upon the fame bafe , on the fame fide , are between the fame parallels . Let the equal triangles ABC , DBC , be conftitute upon the fame bafe , BC , on the fame fide ; the right line AD , that joins ...
Σελίδα 29
... THEOR . F a right line be any how cut , the fquare of the whole line , and one of the parts , is equal to twice the rectangle contained by the whole line , and said part , together with the square of the o- ther part . Let the right ...
... THEOR . F a right line be any how cut , the fquare of the whole line , and one of the parts , is equal to twice the rectangle contained by the whole line , and said part , together with the square of the o- ther part . Let the right ...
Σελίδα 30
... THEOR . a right line be cut into two parts , four times the rectangle under the whole line , and one of the parts , together with the Square of the other part , are equal to the fquare of the whole line , and the first part taken as the ...
... THEOR . a right line be cut into two parts , four times the rectangle under the whole line , and one of the parts , together with the Square of the other part , are equal to the fquare of the whole line , and the first part taken as the ...
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The Elements of Euclid: In Which the Propositions Are Demonstrated in a New ... Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2022 |
The Elements of Euclid: In Which the Propositions Are Demonstrated in a New ... Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2022 |
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCM angle ABC angle BAC arch bafe baſe becauſe bifect Book XI circle ABCD circle EFGH circumference cofine common fection cone contained cylinder defcribe DEFH diameter draw drawn equal angles equal to AC equiangular equilateral equimultiples fame altitude fame multiple fame plain fame proportion fame reafon fecond fegment femicircle fides fimilar folid angle fome fore fquare of AC fubtending given right line greater infcribed join lefs leſs Let ABC magnitudes oppofite parallel parallelogram perpendicular plain angles plain paffing polygon prifms Prop pyramid rectangle right angles right line AB right lined figure Secant Sine ſphere ſquare Tang tangent thefe THEOR theſe triangle ABC triplicate ratio Wherefore whofe ΙΟ
Δημοφιλή αποσπάσματα
Σελίδα 93 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides. Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG ; the...
Σελίδα 78 - ... 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 88 - 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 99 - BAC was proved to be equal to ACD : Therefore the whole angle ACE is equal to the two angles ABC, BAC...
Σελίδα 19 - 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 75 - 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 DE equal...
Σελίδα 88 - ... 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.
Σελίδα 99 - 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 106 - ... but BD, BE, which are in that plane, do each of them meet AB ; therefore each of the angles ABD, ABE is a right angle ; for the same reason, each of the angles CDB, CDE is a right angle: and because AB is equal to DE, and BD...
Σελίδα 73 - RATIOS that are the same to the same ratio, are the same to one another. Let A be to B as C is to D ; and as C to D, so let E be to F ; A is to B, as E to F.