Elements of geometry and mensuration |
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Page 8
... circumference of the circle ; and the straight line which measures the distance from the centre to the circumference is called the radius of the circle . Any straight line drawn through the centre and terminated both ways by the ...
... circumference of the circle ; and the straight line which measures the distance from the centre to the circumference is called the radius of the circle . Any straight line drawn through the centre and terminated both ways by the ...
Page 9
... circumference , the string being kept perfectly tight . The same thing is also done by the ordinary compasses . 18. A semi - circle is the half of a circle , bounded by the half of the circumference and the diameter joining its ...
... circumference , the string being kept perfectly tight . The same thing is also done by the ordinary compasses . 18. A semi - circle is the half of a circle , bounded by the half of the circumference and the diameter joining its ...
Page 10
... circumference of a circle the circle , which , though convenient , is not a correct way of speak- ing . In the same manner it is not unusual to hear per- sons speak of a triangle , square , or other plane surface , when , in fact , they ...
... circumference of a circle the circle , which , though convenient , is not a correct way of speak- ing . In the same manner it is not unusual to hear per- sons speak of a triangle , square , or other plane surface , when , in fact , they ...
Page 13
... circumference of a circle . ( 23 ) How many letters are required to denote an arc of a circle ? Why will not two serve , as in the case of a straight line ? Where are the letters placed ? ( 24 ) What is the object of Euclid's three ...
... circumference of a circle . ( 23 ) How many letters are required to denote an arc of a circle ? Why will not two serve , as in the case of a straight line ? Where are the letters placed ? ( 24 ) What is the object of Euclid's three ...
Page 16
... circumference of a circle on that side of AB on which the triangle is required ; with the same radius and with centre B trace another portion of the circumference of a circle on the same side of AB , A and intersecting the former in the ...
... circumference of a circle on that side of AB on which the triangle is required ; with the same radius and with centre B trace another portion of the circumference of a circle on the same side of AB , A and intersecting the former in the ...
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Common terms and phrases
ABCD acres base bisect called centre chord circle circular circumference circumscribed compasses construction contained convenient curved describe diagonal diagram diameter difference distance divided division draw drawn edge equal exactly example expressed feet figure find the area fixed foot former four fraction given given circle given point given straight line greater ground half height Hence inches inscribed intersecting join length less magnitude marked means measure meet method nearly observed obtained opposite parallel parallelogram pass perimeter perpendicular placed plane plot portion PROB produced PROP proportional proposed radius ratio rectangle regular polygon remaining represent respectively result right angles scale shew shewn sides similar smaller square straight line subtends suppose surface taken taking triangle unit whole yards
Popular passages
Page 32 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Page 19 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Page 27 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Page 32 - If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it; the angle contained by these two sides is a right angle.
Page 43 - 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.
Page 17 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 22 - Theorem. The greater side of every triangle is opposite to the greater angle. Let ABC be a triangle of which the side AC is greater than the side AB ; the angle ABC is also greater than the angle BCA. Because AC is greater than AB, make...
Page 192 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Page 126 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Page 20 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.