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 87.
Σελίδα 2
... drawn from a certain point within the fame are equal . XVI . That point is called the center of the circle . XVII . The diameter of a circle is a right line drawn through the cen- ter , and terminated on both ends by the circumference ...
... drawn from a certain point within the fame are equal . XVI . That point is called the center of the circle . XVII . The diameter of a circle is a right line drawn through the cen- ter , and terminated on both ends by the circumference ...
Σελίδα 5
... draw the lines CA , CB . 3 . b Post . r . on 15 . Then , because A is the center of the circle DBC , AC is ... drawn the right line AL , equal to the given right line BC : Which was required . PROP Боок І. 2 . & Poft . 3 . © OF ...
... draw the lines CA , CB . 3 . b Post . r . on 15 . Then , because A is the center of the circle DBC , AC is ... drawn the right line AL , equal to the given right line BC : Which was required . PROP Боок І. 2 . & Poft . 3 . © OF ...
Σελίδα 6
... draw a right line AD equal to Ca , about the center A , with the distance AD , describe a circle DEFb ; then , because A is the center of the circle DEF , AE is equal to AD , but AD'is equal to C : Therefore AE is likewise equal to Cd ...
... draw a right line AD equal to Ca , about the center A , with the distance AD , describe a circle DEFb ; then , because A is the center of the circle DEF , AE is equal to AD , but AD'is equal to C : Therefore AE is likewise equal to Cd ...
Σελίδα 7
... drawn two right lines equal to one another , the lines drawn from the other extremity , to the fame points , cannot be equal to one another . If from the extremity A , of the right line AB , to the points C , D , on the fame fide ...
... drawn two right lines equal to one another , the lines drawn from the other extremity , to the fame points , cannot be equal to one another . If from the extremity A , of the right line AB , to the points C , D , on the fame fide ...
Σελίδα 9
... draw a a lin line at right angles to a in the fame . a given right line from a Let AB be the given right line , and C the given point in it , from which it is required to draw a right line , at right angles to the given right line AB ...
... draw a a lin line at right angles to a in the fame . a given right line from a Let AB be the given right line , and C the given point in it , from which it is required to draw a right line , at right angles to the given right line AB ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of Euclid: In Which the Propositions Are Demonstrated in a New ... Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCM angle ABC angle BAC arch baſe BC becauſe biſect Book XI circle ABCD circle EFGH circumference cofine common fection cone contained cylinder DEFH deſcribe diameter draw drawn equal angles equal to AC equiangular equilateral equimultiples fame altitude fame multiple fame plain fame proportion fame reaſon fides fimilar firſt folid angle fore fubtend given right line greater inſcribed join leſs Let ABC likewife magnitudes oppoſite parallel parallelogram perpendicular plain angles polygon priſm PROB PROP pyramid rectangle right angles right lined figure ſame Secant ſecond ſegment ſhall ſide Sine ſolid ſome ſphere ſquare ſquare of AC Tang tangent THEOR theſe triangle ABC triplicate ratio verſed Wherefore whoſe baſe
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.