Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated : with Archimedes's Theorems of the Sphere and Cylinder, Investigated by the Method of IndivisiblesDaniel Midwinter and Aaron Ward, 1732 - 514 páginas |
Otras ediciones - Ver todas
Términos y frases comunes
ABC is given ABCD alfo alſo given altitude angle BAC baſe becauſe binomial biſect circle compounded Cone confequently conftr Coroll cube demonftrated deſcribed diameter Dodecaedron drawn equilateral faid fame feeing fides figure firſt folid angle Foraſmuch fore given angle given in kind given in magnitude given in poſition given Magnitude given ratio greater hath inſcribed leſs likewiſe meaſure medial oppoſite parallel parallelogram pentagone perpendicular plane priſmes PROP proportion pyramides reaſon rectangle right angles right line BC right lines AB right-line ſaid ſame ſay Schol Scholium ſecond ſeeing ſegment ſhall ſide ſince ſolid ſome ſpace space AC ſphere square ſquare number ſuperficies ſuppoſed theſe thoſe triangle ABC whence Wherefore whole whoſe
Pasajes populares
Página 120 - An EVEN NUMBER is that which can be divided into two equal whole numbers.
Página 325 - ... which, when produced, the perpendicular falls, and the straight line intercepted, without the triangle, between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn...
Página 46 - Hence, a right line drawn from the extremity of the .diameter of a circle, and at right -angles, is a tangent to the faid circle. From this propofition are gathered many paradoxes, and wonderful confecbtries, which you may meet with in the interpreters.
Página 248 - Right-lined plane Angles equal , from whofe Points equal Right Lines be elevated on the Planes of the Angles, containing equal Angles with the Lines firft given, each to each ; Perpendiculars drawn from the extreme Points of thofe elevated Lines to the Planes of the Angles firft given, are equal to one another.
Página 174 - Divide KM into as many equal parts as there are units in the number B, and let as many of thefe, as there are units in the number C, b make the right line HR, it is manifeft that KM.
Página 61 - A circle is faid to be defcribcd about a figure when the periphery of the circle touches all the angles of the figure, which it circumfcribes. VII. A right line is faid to be fitted or applied in a circle when the extremes thereof fall upon the circumference; as the right line AB.
Página 20 - DBCF, becaufe they are upon the fame bafe BC, and between the fame parallels BC, EF ; and the triangle ABC is the half of the parallelogram EBCA...
Página 73 - A ; and here note, that the quantity which is referred to another quantity, is called the antecedent of the ratio ; and that to which the other is referred is called the consequent of the ratio ; as, in the ratio of A to B, A is the antecedent, and B the consequent.
Página 230 - Diameter of a fphere, is a right line drawn thro' the center, and terminated on either fide in the fuperficies of the fphere. XVIII. A Cone is a figure made, when one fide of a rectangled triangle ( v'fz.