Easy Introduction to Mathematics, Τόμος 2Barlett & Newman, 1814 |
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Σελίδα 245
... parallelogram , is not only more convenient for the case than the semicircular one , but likewise measures some angles with greater exactness , and is therefore to be preferred . The Protractor , Scales , and Sector , should be made of ...
... parallelogram , is not only more convenient for the case than the semicircular one , but likewise measures some angles with greater exactness , and is therefore to be preferred . The Protractor , Scales , and Sector , should be made of ...
Σελίδα 268
... parallelogram of which all its sides are not equal , nor any of its angles right angles . 35. A rectangle is a parallelogram which has all , its angles right angles ( or which has one of its angles a right angle ; see the foregoing note ...
... parallelogram of which all its sides are not equal , nor any of its angles right angles . 35. A rectangle is a parallelogram which has all , its angles right angles ( or which has one of its angles a right angle ; see the foregoing note ...
Σελίδα 285
... parallelogram . " D Let ABCD be a quadrilateral figure , having its opposite sides equal , viz . AD = BC , and AB = DC , then will AD be parallel to BC , and AB to DC . Join BD , A then because AD = BC , and AB = DC , also BD common ...
... parallelogram . " D Let ABCD be a quadrilateral figure , having its opposite sides equal , viz . AD = BC , and AB = DC , then will AD be parallel to BC , and AB to DC . Join BD , A then because AD = BC , and AB = DC , also BD common ...
Σελίδα 286
... parallelogram ABCD ; let AB consist of suppose 4 m equal parts , each of which B S u ข Z с we will call unity , ( or 1. ) let Bm = one of those parts , and Br , rs , su , & c . each = Bm ; now it is plain , that when AB arrives at r ...
... parallelogram ABCD ; let AB consist of suppose 4 m equal parts , each of which B S u ข Z с we will call unity , ( or 1. ) let Bm = one of those parts , and Br , rs , su , & c . each = Bm ; now it is plain , that when AB arrives at r ...
Σελίδα 287
... parallelogram with the two former conditions , and also one more : we are " to apply à parallelogram to a given straight line , which parallelogram shall be equal to a given triangle , and have one of its angles equal to a given ...
... parallelogram with the two former conditions , and also one more : we are " to apply à parallelogram to a given straight line , which parallelogram shall be equal to a given triangle , and have one of its angles equal to a given ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
Algebra arithmetical progression axis base bisected called centre chord circle circumference CN² co-sec co-sine co-tan completing the square Conic Sections cube curve diameter distance divided draw EC² equal Euclid Euclid's Elements EXAMPLES.-1 find the numbers former fourth fraction geometrical geometrical progression given equation given ratio greater harmonical mean Hence infinite series inversely last term latter latus rectum less likewise logarithms magnitude method multiplied number of terms odd number parallel parallelogram perpendicular PN² polygon problem Prop proposition Q. E. D. Cor quadrant quotient radius rectangle remainder right angles rule secant shew shewn sides sine solidity straight line substituted subtract tangent theor theorems third triangle unknown quantity VC² versed sine whence wherefore whole numbers x=the
Δημοφιλή αποσπάσματα
Σελίδα 280 - 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.
Σελίδα 235 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 247 - 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.
Σελίδα 62 - 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.
Σελίδα 353 - In the same way it may be proved that a : b : : sin. A : sin. B, and these two proportions may be written a : 6 : c : : sin. A : sin. B : sin. C. THEOREM III. t8. 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. By Theorem II. we have a : b : : sin. A : sin. B.
Σελίδα 232 - But things which are equal to the same are equal to one another...
Σελίδα 256 - 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.
Σελίδα 160 - 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
Σελίδα 269 - II. Two magnitudes are said to be reciprocally proportional to two others, when one of the first is to one of the other magnitudes as the remaining one of the last two is to the remaining one of the first.
Σελίδα 272 - 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.