Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth BooksJ. Rivington, 1765 - 464 páginas |
Dentro del libro
Resultados 6-10 de 78
Página 63
... half the difference of them . Wherefore in every triangle , the angle contained under the perpendicular drawn from the angle oppofite to the bafe upon it , and the right line bifecting that angle , will be one half the difference of the ...
... half the difference of them . Wherefore in every triangle , the angle contained under the perpendicular drawn from the angle oppofite to the bafe upon it , and the right line bifecting that angle , will be one half the difference of the ...
Página 68
... , both the G B D C fides A B , A C of the K H given triangle will be I greater than twice the frid perpendicular ; and so half the fum of the fides will be greater greater than that perpendicular ; that is , if the 68 Book I. ADDITIONS .
... , both the G B D C fides A B , A C of the K H given triangle will be I greater than twice the frid perpendicular ; and so half the fum of the fides will be greater greater than that perpendicular ; that is , if the 68 Book I. ADDITIONS .
Página 69
... half K will be greater than the perp ndicular draw . fom : D to AM : therefore bifect [ by 9. 1.1 th bfe BC of the ... half the bafe of the triangle , having its oppofite fide M L in AM , the parallelogram BMLD will be [ by 41. 1. ] made ...
... half K will be greater than the perp ndicular draw . fom : D to AM : therefore bifect [ by 9. 1.1 th bfe BC of the ... half the bafe of the triangle , having its oppofite fide M L in AM , the parallelogram BMLD will be [ by 41. 1. ] made ...
Página 71
... half of the given triangle ABC . Alfo if the given point be in either of the angles of the triangle , the thing is done by drawing a right line from that angle to the middle point of the oppofite fide . In all other cafes , draw the ...
... half of the given triangle ABC . Alfo if the given point be in either of the angles of the triangle , the thing is done by drawing a right line from that angle to the middle point of the oppofite fide . In all other cafes , draw the ...
Página 72
... half the given tri- angle ABC therefore alfo the triangle AFD will be one half of the given triangle ABC ; and fo the remaining tra- pezium F BCD will be one half of the given triangle ABC . Wherefore the right line D F , drawn from the ...
... half the given tri- angle ABC therefore alfo the triangle AFD will be one half of the given triangle ABC ; and fo the remaining tra- pezium F BCD will be one half of the given triangle ABC . Wherefore the right line D F , drawn from the ...
Otras ediciones - Ver todas
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Sin vista previa disponible - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Sin vista previa disponible - 2023 |
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books Euclid,David Gregory Sin vista previa disponible - 2016 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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...
Página 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.
Página 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.
Página 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.
Página 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.
Página 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...
Página 110 - If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle.
Página 130 - When you have proved that the three angles of every triangle are equal to two right angles...
Página 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...