Geometry Topology

Download Analytic geometry by Lewis Parker Siceloff, George Wentworth and David Eugene PDF

By Lewis Parker Siceloff, George Wentworth and David Eugene Smith

Show description

Read Online or Download Analytic geometry PDF

Best geometry & topology books

Dr. Math presents more geometry: learning geometry is easy! just ask Dr. Math!

You, too, can comprehend geometry -- simply ask Dr. Math! Are issues commencing to get harder in geometry type? do not panic. Dr. Math--the renowned on-line math resource--is right here that can assist you work out even the trickiest of your geometry difficulties. scholars similar to you've been turning to Dr. Math for years asking questions on math difficulties, and the mathematics medical professionals on the Math discussion board have helped them locate the solutions with plenty of transparent motives and important tricks.

Viewpoints : mathematical perspective and fractal geometry in art

An undergraduate textbook dedicated completely to relationships among arithmetic and paintings, Viewpoints is best for math-for-liberal-arts classes and arithmetic classes for superb arts majors. The textbook encompasses a large choice of classroom-tested actions and difficulties, a chain of essays by way of modern artists written in particular for the booklet, and a plethora of pedagogical and studying possibilities for teachers and scholars.

Circles: A Mathematical View

This revised variation of a mathematical vintage initially released in 1957 will carry to a brand new new release of scholars the joy of investigating that least difficult of mathematical figures, the circle. the writer has supplemented this re-creation with a different bankruptcy designed to introduce readers to the vocabulary of circle suggestions with which the readers of 2 generations in the past have been universal.

Additional info for Analytic geometry

Sample text

3). 9. 2). 8. 2). 10. )· c Find the point which divides eaclt of these line segments in the rcitio stated, drawing the figure in each case : 11. (2,1)to(3,-9); 4:1. 12. (5, - 2) to (5, 3); 2: 3. 13. (-4, 1) to (5, 4); -5:2. ~, 14. (8, 5) to ( -13, - 2); 4: 3. Find the two trisection points of each of these line segments, the end points being as follows : \_ 15. (-1,2),(-10,-1). 16. (11,6),(2,3). 17. (7,8), (1,-6). 18. Find the mid points of the sides of the triangle the vertices of which are (7, 2), ( -1, 4), and (3, - 6), and draw the figure.

14. The inclination of the line through (3, 2) and (- 4, 5) is supplementary to that of the line through (0, 1) and (7, 4). 15. If P (5, 9) is on a circle whose center is (1, 6), find the radius of the circle and the slope of the tangent at P. 16. The points (8, 5) and (6,- 3) are equidistant from (3, 2). 17. Given A(2, 1), B(3,- 2), and C(- 4, -1), show that the angle BA C is a right angle. 18. The line through (a, b) and (c, cl) is perpendicular to the line through (b, -a) and (cl, -c). · ,, 19.

Find by a graph the volume of the greatest cylinder that can be inscribed in a sphere of radius 10 in. 36. , A~P x Q and BQ = 5 mi. A pumping station P is to be built on the river to supply both towns with water. Express in terms of x the total cost C of laying the pipes at $600 a mile B for AP and $1000 a mile for PB, plot the equation, and estimate the most economical position for the pumping station. 37. Two sources of heat, A and B, are 10ft. apart, and A gives out twice as much heat as B. If P is on the line AB and is x feet from A and x' feet from B, and receives 50jx2 units of heat from A and 25 jx' 2 units of heat from R, express the total number H of units of heat received by P from both A and B, draw" the graph of the equation, and find the coolest position for P between A and B.

Download PDF sample

Rated 4.06 of 5 – based on 48 votes