An Easy Introduction to the Mathematics: In which the Theory and Practice are Laid Down and Familiarly Explained ... A Complete and Easy System of Elementary Instruction in the Leading Branches of the Mathematics; ... Adapted to the Use of Schools, Junior Students at the Universities, and Private Learners, Especially Those who Study Without a Tutor. In Two Volumes, Volume 2Bartlett and Newman ; [etc., etc..], 1814 - Mathematics |
From inside the book
Results 1-5 of 84
Page 231
... perpendicular . Mauro- licus was a respectable geometer , and wrote on various sub- jects ; his treatise on the Conic Sections is remarkable for its perspicuity and elegance . Aurispa , Batecombe , Butes , Ramus , Xylander , Fortius ...
... perpendicular . Mauro- licus was a respectable geometer , and wrote on various sub- jects ; his treatise on the Conic Sections is remarkable for its perspicuity and elegance . Aurispa , Batecombe , Butes , Ramus , Xylander , Fortius ...
Page 244
... perpendicular to the paper , which must be done in order to draw a line well . The DRAWING PEN is fixed in a brass handle , and its use is to draw straight ink lines by the edge of a ruler . The han- dle or shaft unscrews near the ...
... perpendicular to the paper , which must be done in order to draw a line well . The DRAWING PEN is fixed in a brass handle , and its use is to draw straight ink lines by the edge of a ruler . The han- dle or shaft unscrews near the ...
Page 246
... perpendicular to AB , and the lines kl , nII , mIII , oIV , & c . parallel to it , join 9 C , 8 a , 7 b , 6 c , 5 ́d , & c . 2 : x A 3 2 m Ο D E 1 2 3 4 5 6 7 8 9 B II III IV V VI VII VII IX Fihgfedcba bac Since 9 B = BI = aC , and 9 C ...
... perpendicular to AB , and the lines kl , nII , mIII , oIV , & c . parallel to it , join 9 C , 8 a , 7 b , 6 c , 5 ́d , & c . 2 : x A 3 2 m Ο D E 1 2 3 4 5 6 7 8 9 B II III IV V VI VII VII IX Fihgfedcba bac Since 9 B = BI = aC , and 9 C ...
Page 278
... perpendicular to a given straight line from a given point in the latter , is called " erecting a perpendicular . " 120. From the corollary to this proposition it appears , that two straight lines can meet one another in only one point ...
... perpendicular to a given straight line from a given point in the latter , is called " erecting a perpendicular . " 120. From the corollary to this proposition it appears , that two straight lines can meet one another in only one point ...
Page 279
... perpendicular to a given straight line , from a given point without it , is called " letting fall a per- pendicular . " We are told in the proposition to " take any point D upon the other side of AB ; " by " other side , " we are to ...
... perpendicular to a given straight line , from a given point without it , is called " letting fall a per- pendicular . " We are told in the proposition to " take any point D upon the other side of AB ; " by " other side , " we are to ...
Other editions - View all
Common terms and phrases
Algebra arithmetical progression base biquadratic equation bisected called centre chord circle circumference CN² co-sec co-sine co-tan common compasses Conic Sections conjugate hyperbola cube cubic equation curve described diameter difference distance divided draw drawn EC² ellipse equal equiangular Euclid EUCLID'S ELEMENTS EXAMPLES.-1 former fourth Geometry given equation given ratio given straight line greater Hence hyperbola infinite series latter latus rectum likewise logarithms magnitude measure method multiplied odd number parabola parallel parallelogram perpendicular plane PN² polygon problem Prop proposition Q. E. D. Cor quadrant quotient radius rectilineal figures right angles roots rule scale secant segments shewn sides sine square substituted subtracted tangent theor theorems third unknown quantity VC² versed sine whence wherefore whole numbers
Popular passages
Page 320 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Page 405 - In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 287 - TO a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Page 66 - If four magnitudes are proportional, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Page 272 - But things which are equal to the same are equal to one another (Ax.
Page 267 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Page 263 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Page 281 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Page 294 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced.
Page 190 - Take the first term from the second, the second from the third, the third from the fourth, &c. and the remainders will form a new series, called the first order of