A Text-book of Geometrical DeductionsLongmans, Green and Company, 1891 |
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Side 92
... find a locus . Locus is , of course , nothing else than the Latin word for place , and is the complete answer to a question asking where . For example , Where shall we find a point which is at a given distance AB from a given point C ...
... find a locus . Locus is , of course , nothing else than the Latin word for place , and is the complete answer to a question asking where . For example , Where shall we find a point which is at a given distance AB from a given point C ...
Side 93
James Andrew Blaikie, William Thomson. 1. Find the locus of a point which is equidistant from two given points . ( A Standard Locus . ) Let A , B be the given points . Join AB , and bisect it in C. C is equidistant from A and B , and is ...
James Andrew Blaikie, William Thomson. 1. Find the locus of a point which is equidistant from two given points . ( A Standard Locus . ) Let A , B be the given points . Join AB , and bisect it in C. C is equidistant from A and B , and is ...
Side 94
... Locus . ) H A- E -B C- -D -K G We have PE 1 AB and CD . Produce PE its own length to G. Draw PH , GK PG . PH and GK produced both ways form the locus . Prove this by means of Euc . I. 34 . 4. Find the locus of a point which is ...
... Locus . ) H A- E -B C- -D -K G We have PE 1 AB and CD . Produce PE its own length to G. Draw PH , GK PG . PH and GK produced both ways form the locus . Prove this by means of Euc . I. 34 . 4. Find the locus of a point which is ...
Side 95
... find the locus of Q. Through Q draw QR || BC , and use Euc . I. 26 to show that it is the R required locus . B 7. A is a fixed point , and BC a fixed straight line ; P is any point in BC ; AP is joined and bisected in Q ; find the locus ...
... find the locus of Q. Through Q draw QR || BC , and use Euc . I. 26 to show that it is the R required locus . B 7. A is a fixed point , and BC a fixed straight line ; P is any point in BC ; AP is joined and bisected in Q ; find the locus ...
Side 97
... Loci is used by Euclid in the 1st and 22d Propositions of Book I. 1. To find a point in a given straight line which shall be equidistant from two given points . The point required must lie on the locus found in § 23 , Ex . 1 , and also ...
... Loci is used by Euclid in the 1st and 22d Propositions of Book I. 1. To find a point in a given straight line which shall be equidistant from two given points . The point required must lie on the locus found in § 23 , Ex . 1 , and also ...
Andre utgaver - Vis alle
A Text-book of Geometrical Deductions James Andrew Blaikie,William Thomson Uten tilgangsbegrensning - 1891 |
A Text-book of Geometrical Deductions: Corresponding to Euclid, book ..., Bok 2 James Blaikie Uten tilgangsbegrensning - 1892 |
A Text-Book of Geometrical Deductions: Book I. Corresponding to ..., Bok 1 James Blaikie,W. Thomson Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
26 to show 38 to show ABCD altitude angle equal angular points apply Euc bisect bisectors Bookwork centre Compare Ex Construct a right-angled Construct a triangle Construct an isosceles convex polygon diagonals Draw a straight drawn parallel equal angles equilateral triangle EUCLID exterior angles Find a point Find the locus fixed point given line given point given square given straight line given the base given triangle hypotenuse isosceles triangle joining the mid-points LADC Let ABC line which joins lines be drawn median meet BC method of Ex mid-point of BC obtuse opposite angles opposite sides parallel straight lines parallelogram perimeter point in BC previous Ex quadrilateral quadrilateral ABCD rectangle required to prove respectively equal rhombus right angles right-angled triangle satisfies the condition Standard Theorem straight line drawn trapezium triangle required Trisect vertex vertical angle
Populære avsnitt
Side 81 - In every triangle, the square on the side subtending an acute angle is less than the sum of the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle.
Side 27 - If two triangles have two sides of the one equal to two sides of the...
Side 135 - PROB. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from the point A a straight line equal to BC.
Side 136 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Side 138 - If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by these two sides is a right angle.
Side 81 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
Side 137 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.
Side 50 - A line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it.
Side 137 - ... upon the same side together equal to two right angles; the two straight lines shall be parallel to one another.
Side 135 - The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced the angles on the other side of the base shall be equal to one another.