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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Seite xi
... diameter . ... difference . indef ..... indefinitely . incl .. ..include , included . inscr . ..inscribe , inscribed . int ....... interior . inters . . .. .intersect , intersection . .internal , internally . intr m or mult . · multiple ...
... diameter . ... difference . indef ..... indefinitely . incl .. ..include , included . inscr . ..inscribe , inscribed . int ....... interior . inters . . .. .intersect , intersection . .internal , internally . intr m or mult . · multiple ...
Seite 3
... diameter in a circle is the longest line that can be drawen in a circle . Farther in it may we learne how , three ... diameters are equal , or , from the centres of which the straight lines to the circumferences are equal . The criterion ...
... diameter in a circle is the longest line that can be drawen in a circle . Farther in it may we learne how , three ... diameters are equal , or , from the centres of which the straight lines to the circumferences are equal . The criterion ...
Seite 4
... diameter at right angles to it , and which has its other extremity terminated by a straight line , the Secant , from the centre of the circle across the circum- ference ; the second to the line from the centre , across the circumference ...
... diameter at right angles to it , and which has its other extremity terminated by a straight line , the Secant , from the centre of the circle across the circum- ference ; the second to the line from the centre , across the circumference ...
Seite 5
... diameter , divides the circle into unequal portions . division of the circle by a diameter makes semi - circles , DCE , and DFE ; by two diameters , bisecting at right angles , quadrants , as DF , FE . Two arcs ACB , AFB , having the ...
... diameter , divides the circle into unequal portions . division of the circle by a diameter makes semi - circles , DCE , and DFE ; by two diameters , bisecting at right angles , quadrants , as DF , FE . Two arcs ACB , AFB , having the ...
Seite 17
... diameter of a circle , then , 1st , of all the straight lines which can be drawn from it to the circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and , 2nd , of any other st ...
... diameter of a circle , then , 1st , of all the straight lines which can be drawn from it to the circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and , 2nd , of any other st ...
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Euclid's Plane Geometry, Books III.-VI., Practically Applied; Or, Gradations ... Euclides Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 7 - If two triangles have two sides of the one equal to two sides of the...
Seite 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...
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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...
Seite 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.
Seite 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,
Seite 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