Elements of Geometry and Trigonometry |
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Page 10
... Angles , like all other quantities , are susceptible of addition , subtraction , multiplication , and division ... equal to each other , each of those angles is called a right angle ; and the line AB is said to be perpendicular to CD ...
... Angles , like all other quantities , are susceptible of addition , subtraction , multiplication , and division ... equal to each other , each of those angles is called a right angle ; and the line AB is said to be perpendicular to CD ...
Page 11
... equal , and its an- gles right - angles . The rectangle , which has its angles right an- gles , without having its sides equal . The parallelogram , or rhomboid , which has its opposite sides parallel . The rhombus , or lozenge , which ...
... equal , and its an- gles right - angles . The rectangle , which has its angles right an- gles , without having its sides equal . The parallelogram , or rhomboid , which has its opposite sides parallel . The rhombus , or lozenge , which ...
Page 12
... equal sides , or the equal angles , are named homologous sides or angles . Definitions of terms employed in Geometry . An axiom is a self - evident proposition . A theorem is a truth , which becomes evident by means of a train of ...
... equal sides , or the equal angles , are named homologous sides or angles . Definitions of terms employed in Geometry . An axiom is a self - evident proposition . A theorem is a truth , which becomes evident by means of a train of ...
Page 13
... equal to the same thing , are equal to each other . 2. If equals be added to equals , the wholes will be equal . 3 ... angles are equal to each other . 11. From one point to another only one straight line can be drawn . 12. Through the ...
... equal to the same thing , are equal to each other . 2. If equals be added to equals , the wholes will be equal . 3 ... angles are equal to each other . 11. From one point to another only one straight line can be drawn . 12. Through the ...
Page 14
... angles will be equal to two right angles . Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to two right angles . A E C B At the point C , erect CE perpendicular to AB . The ...
... angles will be equal to two right angles . Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to two right angles . A E C B At the point C , erect CE perpendicular to AB . The ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex