...of the base equal to one another, and likewise those which are terminated in the other extremity. 2. Draw a straight line at right angles to a given straight line, from a given point in the same. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior...

...than those which are usually given. SOLUTIONS OF PROBLEMS AND QUERIES. (From No. 7, paye 111.) 1 . Draw a straight line at right angles to a given straight line from one of its extremities, without producing it ; and give a demonstration with as few propositions from...

...infallible method of bisecting a line, Prop. 10 cannot be dispensed with. PROP. 11. — PROB. To draw a st. line at right angles to a given straight line from a given point in the same. SOLUTION. — P. 3. From the greater of two lines to cut off a part equal to the less. P. 1. On a given...

...square roots of (1) 4928-742025. (2) £f:f. 9. Compare the values of (-001)2 and (-01)3. Euclid. 1. Draw a straight line at right angles to a given straight line, from a given point in the same. 2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to...

...4.) "Wherefore the straight line AB is divided into two equal parts in the point DQEF PROPOSITION XI. PROBLEM. To draw a straight line at right angles to...in the same. Let AB be the given straight line, and Ca given point in it. It is required to draw a straight line from the point C at right angles to AB....

...4), and the straight line AB is divided into two equal parts in the point D. PROPOSITION XI. PBOBLEM. To draw a straight line at right angles to a given straight line, from a given point in the same. • Given, a straight line AB, and a point C in it ; it is required to draw a straight line from the...

...one another, the sides also which are opposite to the equal angles shall be equal to one another. 3. Draw a straight line at right angles to a given straight line from a given point in the same ; and hence shew that two straight lines cannot have a common segment. 4. If from the ends of a side...

...number of equal parts denoted by the series 2, 4, 8, 16, &e. PROPOSITION XI.— PROBLEM. To draw u straight line at right angles to a given straight line from a given f>uint in t/tc tame. In fig. 11, let A 11 be a given straight line, and ca given point in it. It is...

...though correct in themselves are not so in référence to these limits. PROBLEMS AND QUERIES. 1. l)raw a straight line at right angles to a given straight line from one of its extremities without producing it, and give a demonstration with as few propositions from...

...(-0001)2. 10. Extract the square root of 13 to four decimal places. Euclid. 1. Define a right angle. Draw a straight line at right angles to a given straight line from a given point of the same, and show that two straight lines cannot have a common segment. 2. If a straight line be...