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, Band 2Bartlett and Newman ; [etc., etc..], 1814 |
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... Euclid 250 Observations on some Parts of the first Book of Euclid's Elements • 259 PAGE On Euclid's second Book On Euclid's third Book On iv CONTENTS .
... Euclid 250 Observations on some Parts of the first Book of Euclid's Elements • 259 PAGE On Euclid's second Book On Euclid's third Book On iv CONTENTS .
Seite
... Euclid's second Book On Euclid's third Book On Euclid's fourth Book On Euclid's fifth Book On Euclid's sixth Book . · • . • . 291 · • 297 301 • 304 308 314 An Appendix to the above six Books of Euclid PRACTICAL GEOMETRY , exemplifying ...
... Euclid's second Book On Euclid's third Book On Euclid's fourth Book On Euclid's fifth Book On Euclid's sixth Book . · • . • . 291 · • 297 301 • 304 308 314 An Appendix to the above six Books of Euclid PRACTICAL GEOMETRY , exemplifying ...
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... Euclid pr . E. Book 5 . 71 The note at the bottom is useless here , as it occurs in the latter part of The Properties of Numbers , pp . 108 , 109 . 97 Last line , for b = 1.q , read b + 1.q . 123 Dele the third and five following lines ...
... Euclid pr . E. Book 5 . 71 The note at the bottom is useless here , as it occurs in the latter part of The Properties of Numbers , pp . 108 , 109 . 97 Last line , for b = 1.q , read b + 1.q . 123 Dele the third and five following lines ...
Seite 63
... Euclid 16 , 6 . 58. Hence , if three quantities are proportionals , the product of the extremes is equal to the square of the mean . a C Let a : c :: c : d , then " by what has been shewn ; mul- C α tiply both sides by cd , and ( —xcd ...
... Euclid 16 , 6 . 58. Hence , if three quantities are proportionals , the product of the extremes is equal to the square of the mean . a C Let a : c :: c : d , then " by what has been shewn ; mul- C α tiply both sides by cd , and ( —xcd ...
Seite 65
... Euclid pr . B. Book 5 . 64. If four quantities be proportionals , they are also propor- tionals when taken alternately . Let a : b :: c : d , then will a : c :: b : d ; for , where- fore multiplying each of these equals by b or ...
... Euclid pr . B. Book 5 . 64. If four quantities be proportionals , they are also propor- tionals when taken alternately . Let a : b :: c : d , then will a : c :: b : d ; for , where- fore multiplying each of these equals by b or ...
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Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 272 - But things which are equal to the same are equal to one another (Ax.
Seite 267 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Seite 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.
Seite 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.
Seite 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.
Seite 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