The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second Edition |
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Αποτελέσματα 1 - 5 από τα 43.
Σελίδα 1
I. A point is that which has no parts , or which has no maguitude . II . A line is length without breadth . III The extremities of a line are points . IV . A straight line is that which lies evenly between its extreme points .
I. A point is that which has no parts , or which has no maguitude . II . A line is length without breadth . III The extremities of a line are points . IV . A straight line is that which lies evenly between its extreme points .
Σελίδα 2
A plane rectilineal angle is the inclination of two st.aight lines to one another , which meet together , but are not in the same straight line . 1 A D را B E N.B. * When several angles are at one point B , any one of them is expressed ...
A plane rectilineal angle is the inclination of two st.aight lines to one another , which meet together , but are not in the same straight line . 1 A D را B E N.B. * When several angles are at one point B , any one of them is expressed ...
Σελίδα 3
A figure is that which is inclosed by one or more boundaries . XV . 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 ...
A figure is that which is inclosed by one or more boundaries . XV . 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 ...
Σελίδα 7
Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ... D B C 9 Because the point A is the centre of the circle BCD , ( Definition 15. ) 1 .
Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ... D B C 9 Because the point A is the centre of the circle BCD , ( Definition 15. ) 1 .
Σελίδα 8
Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . - PROBLEM , From the greater of two given straight lines to cut off a part equal to the less .
Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . - PROBLEM , From the greater of two given straight lines to cut off a part equal to the less .
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AB is equal ABC is equal ABCD angle ABC angle ACB angle AGH angle BAC angle BCD angle equal base BC bisected centre circle ABC circumference coincide common demonstrated describe diameter distance divided double draw equal angles exterior angle extremity fall figure four given circle given point given straight line gnomon greater impossible inscribed join less Let ABC Let the straight likewise manner meet opposite angles parallel parallelogram pass pentagon perpendicular point F PROBLEM produced Q.E.D. PROP reason rectangle contained rectilineal figure remaining angle right angles segment semicircle shown side BC sides square of AC straight line AC Take touches the circle triangle ABC twice the rectangle wherefore whole