Elementary geometry |
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Page xix
... equiangular to one another and have a side of the one equal to the corresponding side of the other , then triangles will be equal in all respects • THEOREM 16. If two sides and the included angle of one triangle are respectively . equal ...
... equiangular to one another and have a side of the one equal to the corresponding side of the other , then triangles will be equal in all respects • THEOREM 16. If two sides and the included angle of one triangle are respectively . equal ...
Page xxix
... Equiangular parallelograms have to one another the ratio compounded of the ratios of their sides SIX COROLLARIES PAGE • • 153 154 . 156 • 156 · 157 THEOREM 13. In any circle angles at the centre have to one another the ratio of the arcs ...
... Equiangular parallelograms have to one another the ratio compounded of the ratios of their sides SIX COROLLARIES PAGE • • 153 154 . 156 • 156 · 157 THEOREM 13. In any circle angles at the centre have to one another the ratio of the arcs ...
Page 15
... equiangular , that is when all its sides and angles are equal . A regular four - sided figure is called a square . The line joining any two angles not adjacent is called a diagonal . When the number of its sides is 3 , 4 , 5 , 6 ...
... equiangular , that is when all its sides and angles are equal . A regular four - sided figure is called a square . The line joining any two angles not adjacent is called a diagonal . When the number of its sides is 3 , 4 , 5 , 6 ...
Page 17
... equiangular triangle are equal to two - thirds of a right angle . Express them in degrees . 3. Find the magnitude of the angle of a regular octagon . 4. How many equiangular triangles can be placed so as to have one common angular point ...
... equiangular triangle are equal to two - thirds of a right angle . Express them in degrees . 3. Find the magnitude of the angle of a regular octagon . 4. How many equiangular triangles can be placed so as to have one common angular point ...
Page 18
... equiangular , and conversely ? IO . Shew that the exterior angle of a regular polygon of I n sides is of 360 ° : and that its interior angle is II . n angle is ( 2–4 ) 90o . How many diagonals can be drawn in a pentagon ? How many in a ...
... equiangular , and conversely ? IO . Shew that the exterior angle of a regular polygon of I n sides is of 360 ° : and that its interior angle is II . n angle is ( 2–4 ) 90o . How many diagonals can be drawn in a pentagon ? How many in a ...
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Common terms and phrases
AB² ABCD ALGEBRA altitude angle ABC angle AOB ARITHMETIC bisectors bisects the angle BROOKE FOSS WESTCOTT Cambridge centre chord circumference cloth coincide common measure corresponding angles Crown 8vo decagon describe a circle diagonals diameter divided ELEMENTARY equal angles equiangular equivalent Euclid exterior angles Fcap Find the locus four right angles Geometry given angle given circle given line given point given ratio given straight line greater Hence hypothenuse inscribed intersect isosceles triangle less Let ABC magnitudes Mathematical meet middle points opposite sides parallel parallelogram perpendicular PROBLEM Proof proportional prove quadrilateral radius rectangle contained regular polygon respectively equal rhombus right angles right-angled triangle Schools Second Edition segments shew shewn similar similar triangles square subtend tangent Theorem 15 three sides touch TREATISE triangle ABC unequal vertical angle
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