Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth BooksJ. Rivington, 1765 - 464 sider |
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Side 4
... fides . 25. That an ifofceles triangle , which has but two equal fides . 26. That a scalene triangle , which has three unequal fides " . 27. Moreover , amongst three - fided figures , that is a right - angled triangle , which has a ...
... fides . 25. That an ifofceles triangle , which has but two equal fides . 26. That a scalene triangle , which has three unequal fides " . 27. Moreover , amongst three - fided figures , that is a right - angled triangle , which has a ...
Side 9
... fides of the one equal to two fides of the other , each to each ; and bave one angle of the one equal to one angle of the ether , viz . that which is contained under the equal lines ; then shall the base of the one be equal to the base ...
... fides of the one equal to two fides of the other , each to each ; and bave one angle of the one equal to one angle of the ether , viz . that which is contained under the equal lines ; then shall the base of the one be equal to the base ...
Side 11
... fides AB , AC directly forwards to D and E : I fay , the angle ABC is equal to the angle ACB ; and the angle CBD equal to the angle BCE . For in the right line BD , let there be taken any point as F ; and from the greater line A E , let ...
... fides AB , AC directly forwards to D and E : I fay , the angle ABC is equal to the angle ACB ; and the angle CBD equal to the angle BCE . For in the right line BD , let there be taken any point as F ; and from the greater line A E , let ...
Side 14
... fides of the one equal to two fides of the other , each to each , and have alfo equal bafes , then shall the angle contained by the equal fides of the one triangle , be equal to the angle contained by the equal fides of the other ...
... fides of the one equal to two fides of the other , each to each , and have alfo equal bafes , then shall the angle contained by the equal fides of the one triangle , be equal to the angle contained by the equal fides of the other ...
Side 15
... fides of the one equal to two fides of the other , each to each , and have also equal bafes ; then fhall the angle contained under the equal right lines of the one , be equal to the angle contained un- der the equal right lines of the ...
... fides of the one equal to two fides of the other , each to each , and have also equal bafes ; then fhall the angle contained under the equal right lines of the one , be equal to the angle contained un- der the equal right lines of the ...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Ingen forhåndsvisning - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Ingen forhåndsvisning - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Ingen forhåndsvisning - 2016 |
Almindelige termer og sætninger
A B C D alfo alſo angle ABC becauſe the angle bifected centre circle A B C circumference cone confequent cylinder defcribed demonftrated diameter equal angles equiangular equimultiples Euclid EUCLID's ELEMENTS fame altitude fame multiple fame ratio fame reafon fecond fegment femidiameter fhall fides A B fimilar fince firft firſt fixth folid angle folid parallelepipedon fome fphere ftand given circle given right line given triangle greater infcribed interfect join leffer lefs leſs parallel parallelogram perpendicular polygon prifm PROP propofition proportional pyramid rectangle contained regular polygon remaining angle right angles right line A B right lined figure right-lined SCHOLIUM ſquare thefe THEOR theſe thofe thoſe trapezium triangle ABC twice the fquare vertex the point Wherefore whofe bafe whoſe baſe
Populære passager
Side 247 - 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 30 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Side 248 - But it was proved that the angle AGB is equal to the angle at F ; therefore the angle at F is greater than a right angle : But by the hypothesis, it is less than a right angle ; which is absurd.
Side 18 - When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that on which it stands.
Side 32 - Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD equal to one another; AB is parallel to CD.
Side 56 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 391 - KL: but the cylinder CM is equal to the cylinder EB, and the axis LN to the axis GH; therefore as the cylinder EB to...
Side 110 - If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle.
Side 130 - When you have proved that the three angles of every triangle are equal to two right angles...
Side 183 - FK : in the same manner it may be demonstrated, that FL, FM, FG are each of them equal to FH, or FK : therefore the five straight lines FG, FH, FK, FL, FM are equal to one another : wherefore the circle described from the centre F, at the distance of...