Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations in Euclid, part ii., with illustr. [&c.] by H. Green1861 |
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Αποτελέσματα 1 - 5 από τα 86.
Σελίδα xii
... proportional . pt . .part . qu . ang ... quadrangular . qu . lat . rad . rat . recip . rect . rectl . rectr .. .quadrilateral . ... radius . ... .ratio . .reciprocal . .rectangle . .. rectilineal . ..rectangular . reg .. .regular . rt ...
... proportional . pt . .part . qu . ang ... quadrangular . qu . lat . rad . rat . recip . rect . rectl . rectr .. .quadrilateral . ... radius . ... .ratio . .reciprocal . .rectangle . .. rectilineal . ..rectangular . reg .. .regular . rt ...
Σελίδα 41
... proportional or relative lengths of chords , natural lines , tangents , and secants are constructed by aid of Prop . 47 , Book I. D E B PROP . 18. - THEOR . If a st . line touches a circle , the st . line drawn from the centre to the ...
... proportional or relative lengths of chords , natural lines , tangents , and secants are constructed by aid of Prop . 47 , Book I. D E B PROP . 18. - THEOR . If a st . line touches a circle , the st . line drawn from the centre to the ...
Σελίδα 80
... proportional to three given lines , or the third proportional to two given lines . Ex . 1. Let there be three lines , AC = 2 eq . pts . , B C = 3 , and CD = 4 ; required a fourth line in proportion to the other three . C.1 Pst . 2 . 2 3 ...
... proportional to three given lines , or the third proportional to two given lines . Ex . 1. Let there be three lines , AC = 2 eq . pts . , B C = 3 , and CD = 4 ; required a fourth line in proportion to the other three . C.1 Pst . 2 . 2 3 ...
Σελίδα 88
... proportional to two given lines ; and also a line pro- portional to three given lines ; Use 35 , III . 4. Were it required in a work like the present , problems might be introduced which show how circles may be drawn which are tangents ...
... proportional to two given lines ; and also a line pro- portional to three given lines ; Use 35 , III . 4. Were it required in a work like the present , problems might be introduced which show how circles may be drawn which are tangents ...
Σελίδα 123
... proportional ; i.e. AC : AB :: AB : AD ; and AB = BD = CD ; . AC : CD :: CD : AD . = Thus when CA , the rad . of a circle , is divided , at D , into extreme and mean ratio ( 11 , II . ) the greater segment , CD , will be the side of the ...
... proportional ; i.e. AC : AB :: AB : AD ; and AB = BD = CD ; . AC : CD :: CD : AD . = Thus when CA , the rad . of a circle , is divided , at D , into extreme and mean ratio ( 11 , II . ) the greater segment , CD , will be the side of the ...
Άλλες εκδόσεις - Προβολή όλων
Euclid's Plane Geometry, Books III.-VI., Practically Applied; Or, Gradations ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD Antecs Arith base bisected centre chord circumference circumscribed compd Conc contained decagon desc diam diameter distance divided draw drawn equiangular equims equimultiples Euclid extreme four magnitudes fourth Geometry given circle given line given st greater hypotenuse inscribed isosc join less mean measure multiple parallel parallelogram pentagon perp Plane Geometry polygon PROB Prop propl proportional proposition Quæs radius ratio compounded rect rectangle rectil rectilineal figure regular polygon Remk segments semic semiperimeter sides similar square star-shaped polygon straight line tang tangent third touch triangle vertex
Δημοφιλή αποσπάσματα
Σελίδα 7 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 151 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any...
Σελίδα 81 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Σελίδα 85 - IF from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle be equal to the square of the line which meets it, the line which meets shall touch the circle.
Σελίδα 310 - 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 11 - If a straight line drawn through the centre of a circle bisect a straight line in it which does not pass through the centre, it shall cut it at right angles : and if it cut it at right angles, it shall bisect it.
Σελίδα 33 - The diameter is the greatest straight line in a circle; and of all others, that which is nearer to the centre is always greater than one more remote; and the greater is nearer to the centre than the less. Let ABCD be a circle, of which...
Σελίδα 156 - XIII. Permutando, or alternando, by permutation, or alternately; this word is used when there are four proportionals, and it is inferred, that the first has the same ratio to the third, which the second has to the ,fourth; or that the first is to the third, as the second to the fourth; as is shown in the 16th prop.
Σελίδα 219 - If there be any number of magnitudes, and as many others, which, taken two and two in order, have the same ratio ; the first shall have to the last of the first magnitudes, the same ratio which the first of the others has to the last. NB This is usually cited by the words "ex sequali,
Σελίδα 216 - IF there be any number of magnitudes, and as many others, which, taken two and two, in a cross order, have the same ratio; the first shall have to the last of the first magnitudes the same ratio which the first of the others has to the last. NB This is usually cited by the words