Elements of Geometry and Mensuration: With Easy Exercises, Designed for Schools and Adult Classes |
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Page 56
... division draw lines parallel to BE intersecting DE , and EF : then DE will be di- vided by these parallels into the same number of equal parts as AB , and EF into the same number as BC ( 67 ) , that is , DE will contain a certain line ...
... division draw lines parallel to BE intersecting DE , and EF : then DE will be di- vided by these parallels into the same number of equal parts as AB , and EF into the same number as BC ( 67 ) , that is , DE will contain a certain line ...
Page 60
... division draw lines pa- rallel to AD or BC , dividing ABCD into as many pa- rallelograms as the unit is contained in AB , and BEFC into as many as the unit is contained in BE . Then since parallelograms upon equal bases and between the ...
... division draw lines pa- rallel to AD or BC , dividing ABCD into as many pa- rallelograms as the unit is contained in AB , and BEFC into as many as the unit is contained in BE . Then since parallelograms upon equal bases and between the ...
Page 63
... division draw lines parallel to AB , dividing ABCD into as many parallelo- grams as the unit is contained in GH , and ABEF into as many as the unit is contained in GI . These smaller parallelograms are obviously all equal to one another ...
... division draw lines parallel to AB , dividing ABCD into as many parallelo- grams as the unit is contained in GH , and ABEF into as many as the unit is contained in GI . These smaller parallelograms are obviously all equal to one another ...
Page 70
... division in AB and CD , so that the arc AB is divided into 5 equal parts , CD into 3 equal parts , and also the angles AED , CFD , into 5 and 3 equal angles , respectively , since equal arcs in the same circle , or in equal circles ...
... division in AB and CD , so that the arc AB is divided into 5 equal parts , CD into 3 equal parts , and also the angles AED , CFD , into 5 and 3 equal angles , respectively , since equal arcs in the same circle , or in equal circles ...
Page 94
... division being marked by lines across the face of the ruler . The common foot - rule is an example of a Scale of Equal Parts , its length being divided into 12 equal parts called inches , and each inch into parts of an inch . This ...
... division being marked by lines across the face of the ruler . The common foot - rule is an example of a Scale of Equal Parts , its length being divided into 12 equal parts called inches , and each inch into parts of an inch . This ...
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Common terms and phrases
ABCDEF angular points base bisect centre chain chord circular circumference circumscribed circumscribing circle compasses cone construction cubic curved cylinder describe a circle diagonal diameter distance divided draw a straight drawn edge equal angles equal arcs equilateral triangle feet find the area foot frustum given angle given circle given line given point given ratio given straight line given triangle greater height Hence hexagon inches inscribed instrument intersecting length Let ABCD magnitude measure meet number of sides opposite angle parallelogram parallelopiped perimeter perpendicular plane surface points of division prism PROB produced PROP proportional Protractor radii radius rectangle rectangle contained regular polygon right angles ruler scale segment semi-circle shew shewn similar triangles square of AB square of AC subtends suppose tangent trapezium triangle ABC unit vernier vertex 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 16 - If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle, shall be greater than the base of the other.
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 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 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 223 - 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 128 - 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.