Pure mathematics, Τόμος 11874 |
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Αποτελέσματα 1 - 5 από τα 29.
Σελίδα 94
... square described upon the straight line AB . Proposition 1. - Problem . To describe an equilateral triangle on a ... AC = AB . BC = AB . AC and BC each AB . AC = BC . ..AB = BC = CA . CONSTRUCTION . - From the centre A , at the distance ...
... square described upon the straight line AB . Proposition 1. - Problem . To describe an equilateral triangle on a ... AC = AB . BC = AB . AC and BC each AB . AC = BC . ..AB = BC = CA . CONSTRUCTION . - From the centre A , at the distance ...
Σελίδα 134
... square upon a given straight line . Let AB be the given straight line ; It is required to describe a square upon AB . CONSTRUCTION . - From the point A draw AC at 134 GEOMETRY .
... square upon a given straight line . Let AB be the given straight line ; It is required to describe a square upon AB . CONSTRUCTION . - From the point A draw AC at 134 GEOMETRY .
Σελίδα 135
Edward Atkins. CONSTRUCTION . - From the point A draw AC at right angles to ... square re- quired . PROOF . - Because DE is parallel to D AB , and BE ... squares described upon the sides which contain the right angle . Let ABC be a right ...
Edward Atkins. CONSTRUCTION . - From the point A draw AC at right angles to ... square re- quired . PROOF . - Because DE is parallel to D AB , and BE ... squares described upon the sides which contain the right angle . Let ABC be a right ...
Σελίδα 136
... square described upon the side BC shall be equal to the squares described upon BA , AC . CONSTRUCTION . -- - On BC de- scribe the square BDEC ( I. 46 ) . On BA , AC describe the squares GB , HC ( I. 46 ) . Through A draw AL parallel to ...
... square described upon the side BC shall be equal to the squares described upon BA , AC . CONSTRUCTION . -- - On BC de- scribe the square BDEC ( I. 46 ) . On BA , AC describe the squares GB , HC ( I. 46 ) . Through A draw AL parallel to ...
Σελίδα 137
Edward Atkins. Therefore the whole square BDEC is equal to the two squares GB , HC ( Ax . 2 ) ; And the square BDEC is described on the straight line BC , and the squares GB , HC upon BA , AC . Therefore the square described upon the ...
Edward Atkins. Therefore the whole square BDEC is equal to the two squares GB , HC ( Ax . 2 ) ; And the square BDEC is described on the straight line BC , and the squares GB , HC upon BA , AC . Therefore the square described upon the ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a²b a²b² ab² ab³ ABCD algebraical angle ABC angle BAC angle BCD base BC BC is equal bisect brackets cent centim centre circle ABC circumference coefficient common Const cosec cube root decimal figures denominator divided divisor draw equation expression exterior angle factor Find the value fraction given straight line gnomon gram greater Hence integer join kilom less Let ABC logarithm metres miles millig Multiply opposite angles parallel parallelogram perpendicular PROOF.-Because Q. E. D. Proposition quotient ratio rectangle contained remainder right angles segment sides sin² sine square on AC square root subtraction touches the circle triangle ABC twice the rectangle x²y² x³y xy³
Δημοφιλή αποσπάσματα
Σελίδα 272 - The angles in the same segment of a circle are equal to one another.
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 233 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC be two straight lines, and let BC be divided into any...
Σελίδα 112 - IF two triangles have two sides of the one equal to two sides of the...
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.
Σελίδα 119 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Σελίδα 113 - ... equal angles in each ; then shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other.
Σελίδα 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Σελίδα 281 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 121 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.