Pure mathematics, Τόμος 11874 |
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Αποτελέσματα 1 - 5 από τα 82.
Σελίδα 5
... proposition - just those points , in fact , which it is necessary to retain in the memory ; and to encourage the pupil to depend upon himself for supplying the connecting links . This skeleton , as it were , of the proposition is placed ...
... proposition - just those points , in fact , which it is necessary to retain in the memory ; and to encourage the pupil to depend upon himself for supplying the connecting links . This skeleton , as it were , of the proposition is placed ...
Σελίδα 93
... proposition is an inference which may be easily deduced from that proposition . The sign = is used to express equality . Z means angle , and A signifies triangle . From cen- tres A and B , and ra- díus EXPLANATION OF TERMS AND ...
... proposition is an inference which may be easily deduced from that proposition . The sign = is used to express equality . Z means angle , and A signifies triangle . From cen- tres A and B , and ra- díus EXPLANATION OF TERMS AND ...
Σελίδα 94
... Proposition 1. - Problem . - upon the To describe an equilateral triangle on a given finite straight line . Let AB be the given straight line . It is required to describe an equilateral triangle on AB . E CONSTRUCTION . - From the ...
... Proposition 1. - Problem . - upon the To describe an equilateral triangle on a given finite straight line . Let AB be the given straight line . It is required to describe an equilateral triangle on AB . E CONSTRUCTION . - From the ...
Σελίδα 95
Edward Atkins. Proposition 2. - Problem . From a given point to draw a straight line equal to a given straight line . Let ... Proposition 3. - Problem . Which was From the greater of two given straight lines to cut off a part equal to the ...
Edward Atkins. Proposition 2. - Problem . From a given point to draw a straight line equal to a given straight line . Let ... Proposition 3. - Problem . Which was From the greater of two given straight lines to cut off a part equal to the ...
Σελίδα 96
... Proposition 4. - Theorem . If two triangles have two sides of the one equal to two sides of the other , each to each , and have also the angles contained by those sides equal to one another : they shall have their bases , or third sides ...
... Proposition 4. - Theorem . If two triangles have two sides of the one equal to two sides of the other , each to each , and have also the angles contained by those sides equal to one another : they shall have their bases , or third sides ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a²b a²b² a²x² a³b ab² ab³ ABCD adjacent angles algebraical algebraical quantity angle ABC angle BAC angle BCD angle EDF angle equal base BC BC is equal bisect brackets cent centim centre circle ABC coefficient common Const cube root decimal figures denominator distance divided divisor equation expression exterior angle factor Find the value fraction given rectilineal given straight line greater Hence join kilom Let ABC logarithm metres millig Multiply opposite angles parallel parallelogram perpendicular PROOF.-Because Q. E. D. Proposition quotient ratio rectangle contained remainder right angles segment side BC square on AC square root subtraction term triangle ABC x²y x²y² x³y xy² xy³
Δημοφιλή αποσπάσματα
Σελίδα 116 - Wherefore, if a straight line, &c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to...
Σελίδα 103 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 113 - 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...
Σελίδα 88 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another : 16.
Σελίδα 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Σελίδα 94 - J which the equal sides are opposite, shall be equal, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFE.
Σελίδα 271 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Σελίδα 91 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Σελίδα 112 - IMS the greater base shall be greater t/uin the angle contained by the sides equal to them of the other. Let ABC, DEF, be two triangles, which have The two sides AB, AC...
Σελίδα 128 - 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.