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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Side ix
... triangle . parallelogram . square , rectangle . circle . perpendicular to , at rt . s . Oce circumference . * When an s is added to a sign , or to an abbreviation , the plural is denoted A single capital letter , as A , or B , denotes ...
... triangle . parallelogram . square , rectangle . circle . perpendicular to , at rt . s . Oce circumference . * When an s is added to a sign , or to an abbreviation , the plural is denoted A single capital letter , as A , or B , denotes ...
Side 2
... triangle , of the circle , and of certain lines in and about a circle , as the radius , the sine , the tangent and the secant , have laid the foundations of by far the most extensive branch of Mathematics . Trigonometry , Plane and ...
... triangle , of the circle , and of certain lines in and about a circle , as the radius , the sine , the tangent and the secant , have laid the foundations of by far the most extensive branch of Mathematics . Trigonometry , Plane and ...
Side 5
... triangle to its base is measured by a perpendicular , so the distance of a straight line from the centre of a circle is the perpendicular drawn to it from the centre . A Proposition analagous to Props . 7 and 8 , Book III . , would ...
... triangle to its base is measured by a perpendicular , so the distance of a straight line from the centre of a circle is the perpendicular drawn to it from the centre . A Proposition analagous to Props . 7 and 8 , Book III . , would ...
Side 6
... triangles , hexagons , & c . are similar , though not equal , the similarity depending on the equality of the angles . Figures become identical when their sides as well as their angles are respectively equal each to each . 12 ...
... triangles , hexagons , & c . are similar , though not equal , the similarity depending on the equality of the angles . Figures become identical when their sides as well as their angles are respectively equal each to each . 12 ...
Side 14
... triangle ( 4 , VI . ) have the same ratio as the sines of their opp . angles . V. In the last figure but one , That part of the perp . to the chord which passes through the centre and is intercepted between the centre and the chord ...
... triangle ( 4 , VI . ) have the same ratio as the sines of their opp . angles . V. In the last figure but one , That part of the perp . to the chord which passes through the centre and is intercepted between the centre and the chord ...
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Euclid's Plane Geometry, Books III.-VI., Practically Applied; Or, Gradations ... Euclides Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 7 - If two triangles have two sides of the one equal to two sides of the...
Side 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...
Side 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.
Side 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.
Side 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.
Side 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.
Side 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...
Side 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.
Side 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,
Side 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