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 89.
Σελίδα x
... similar reasoning . Sume , take away . Sup .. S. or Sol ... Solution of a Problem . Sum . .Suppose , or Let . Super ..... Superponendo , by super- Theor .. .. .Theorem . dosition . Q. E. D. quod erat demonstrandum , which was the X ...
... similar reasoning . Sume , take away . Sup .. S. or Sol ... Solution of a Problem . Sum . .Suppose , or Let . Super ..... Superponendo , by super- Theor .. .. .Theorem . dosition . Q. E. D. quod erat demonstrandum , which was the X ...
Σελίδα xii
... similar to , similarly . sim . sit . .. .similarly situated . sq . st .. suppl .. tang . rap . ... square . .straight . .supplemental . ..tangent . ..... undiv .. .... undivided . .trapezium . rem ...... .remaining . uneq .. unequal ...
... similar to , similarly . sim . sit . .. .similarly situated . sq . st .. suppl .. tang . rap . ... square . .straight . .supplemental . ..tangent . ..... undiv .. .... undivided . .trapezium . rem ...... .remaining . uneq .. unequal ...
Σελίδα 6
... Similar segments of circles are those in which the angles are equal , or which contain equal angles ; as △ ACB = / DF E. B DD The idea of similarity here introduced belongs to A all regular figures : all squares , equilateral triangles ...
... Similar segments of circles are those in which the angles are equal , or which contain equal angles ; as △ ACB = / DF E. B DD The idea of similarity here introduced belongs to A all regular figures : all squares , equilateral triangles ...
Σελίδα 27
... similar method ovals more elongated , or with the minor axis in less proportion to the major , may be described . N.B. - The oval thus described is only an approach to the true ellipse , the method being practically useful , not ...
... similar method ovals more elongated , or with the minor axis in less proportion to the major , may be described . N.B. - The oval thus described is only an approach to the true ellipse , the method being practically useful , not ...
Σελίδα 35
... similar to the following : - " At what part of a galley , EF , with rounded sides , EAF , EBF , does an oar , handled from a seat , or sta- tion , just above the line of the keel , EF , produce the greatest effect in moving the galley ...
... similar to the following : - " At what part of a galley , EF , with rounded sides , EAF , EBF , does an oar , handled from a seat , or sta- tion , just above the line of the keel , EF , produce the greatest effect in moving the galley ...
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