be_v the_o production_n of_o the_o right_a line_n ga_fw-mi for_o as_o before_o by_o construction_n the_o right_a line_n chord_n da_fw-mi and_o ca_fw-mi to_o the_o homologal_a point_n d_o and_o c_o be_v equal_a and_o the_o right_a line_n fa_fw-mi cut_v the_o right_a line_n de_fw-fr produce_v in_o the_o point_n h_o the_o right_a line_n dh_fw-mi and_o ah_o being_n two_o right_a line_n tangent_n of_o the_o same_o circle_n adb_n occur_v be_v equal_a and_o let_v the_o right_a line_n ac_fw-la produce_v occur_v with_o the_o right_a line_n de_fw-fr produce_v in_o the_o point_n k._n as_o appear_v the_o right_n line_v angle_n adh_fw-mi dah_fw-mi and_o cag_fw-mi as_o before_o be_v equal_a and_o the_o right_n line_v angle_n ahe_fw-la be_v equal_a to_o two_o right_a right_n line_v angle_n all_o but_o the_o two_o right_o line_v angle_n hda_fw-la and_o have_v that_o be_v all_o but_o the_o two_o right_o line_v angle_n cag_n and_o have_v therefore_o the_o right_n line_v angle_n ahe_fw-la be_v equal_a 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and_o c_o be_v take_v at_o quadrantal_a or_o other_o distance_n from_o the_o angular_a point_n then_o most_o manifest_o the_o right-lined_n angle_v dcg_a and_o fag_n be_v equal_a be_v under_o the_o two_o and_o two_o respective_a right_n line_v tangent_n and_o between_o the_o angle_n and_o their_o compliment_n unto_o two_o right_a right_n line_v angle_n be_v no_o difference_n as_o appear_v by_o what_o be_v in_o the_o former_a demonstration_n so_o in_o fig._n 23._o if_o the_o homologal_a point_n d_o and_o c_o be_n so_o take_v that_o the_o chord_n da_fw-mi and_o ca_fw-mi be_v the_o diameter_n then_o produce_v the_o right_a line_n tangent_fw-la ce_fw-fr till_o it_o occur_v with_o the_o other_o right_a line_n tangent_fw-la de_fw-la in_o the_o point_n e_o and_o with_o the_o other_o right-line_n tangent_fw-la fa_fw-it in_o the_o point_n f_o the_o right_n line_v angle_n cfa_v and_o fag_n be_v equal_a and_o in_o the_o trapezium_fw-la def_n a_o the_o two_o right_o line_v angle_n eda_fw-la and_o 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inclination_n differ_v so_o far_o in_o kind_n that_o
urge_v out_o of_o optic_n and_o the_o usage_n in_o that_o science_n to_o demonstrate_v in_o conical_a figure_n the_o angle_n of_o incidence_n and_o reflection_n to_o be_v equal_a only_o with_o respect_n to_o the_o right-line_n tangent_fw-la touch_v the_o figure_n in_o the_o point_n of_o incidence_n and_o reflection_n without_o special_a respect_n to_o the_o curvature_n in_o the_o conical_a section_n but_o hereto_o without_o wrong_n either_o to_o truth_n nature_n or_o that_o noble_a science_n may_v be_v upon_o good_a ground_n answer_v 1._o that_o optic_n be_v not_o pure_a geometry_n and_o obstruct_a stereometry_n and_o mathematics_n wherein_o quantity_n mensuration_n and_o proportion_n be_v consider_v mere_o as_o in_o themselves_o without_o relation_n to_o matter_n and_o the_o use_n to_o which_o in_o other_o faculty_n they_o be_v applicable_a but_o in_o optic_n be_v a_o improvement_n of_o what_o in_o nature_n may_v be_v observe_v about_o luminous_a and_o visual_a beam_n and_o luminous_a 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and_o bound_n can_v be_v thereof_o destitute_a and_o if_o the_o name_n of_o figure_n be_v so_o frequent_o give_v to_o hyperbola_n parabola_n and_o the_o like_a which_o neither_o do_v nor_o ever_o can_v by_o any_o possible_a production_n perfect_o bind_v in_o their_o plane_n what_o reason_n be_v there_o then_o why_o angle_n shall_v be_v deny_v a_o imperfect_a interest_n in_o the_o name_n beside_o as_o a_o plane_n in_o its_o own_o general_a nature_n at_o large_a do_v not_o denote_v any_o special_a plane_n figure_n but_o the_o rise_n of_o figure_n i_o mean_v plane_n figure_n be_v from_o the_o bound_a of_o the_o plane_n so_o it_o be_v in_o angle_n as_o they_o by_o the_o mutual_a habitude_n of_o their_o concur_v side_n give_v imperfect_a limit_n and_o bound_n unto_o the_o space_n and_o plane_n so_o they_o therein_o make_v a_o imperfect_a figuration_n that_o in_o angle_n something_o of_o form_n and_o figure_n be_v to_o be_v note_v as_o well_o as_o magnitude_n and_o one_o line_n can_v 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concavo-convexe_a angle_n contain_v by_o arch_n
the_o other_o in_o the_o other_o be_v very_o near_o show_v and_o as_o near_o as_o be_v possible_a in_o right-line_n by_o the_o right-line_n tangent_n of_o those_o respective_a point_n but_o in_o mix_v line_v and_o mix_v crooked-lined_n angle_n by_o several_a way_n of_o account_v several_a point_n be_v make_v to_o answer_v one_o another_o as_o by_o account_v by_o distance_n from_o the_o angular_a point_n or_o by_o account_v by_o equalness_n of_o line_n along_o the_o side_n etc._n etc._n mix_v line_v angle_n of_o contact_n when_o they_o can_v be_v and_o be_v divide_v by_o a_o right-line_n the_o part_n be_v heterogeneal_a and_o unequal_a and_o one_o of_o the_o unequal_a part_n be_v a_o right-lined_n angle_n every_o recto-convexe_a and_o convexo-convexe_a or_o citradiametral_a concavo-convexe_a angle_n of_o contact_n be_v the_o least_o possible_a under_o those_o side_n rectilineary_a mensurableness_n in_o mix_v line_v crooked-lined_n angle_v concur_v by_o way_n of_o section_n begin_v 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neither_o the_o curvature_n of_o the_o mix_v line_v inclination_n have_v any_o thing_n in_o it_o conform_v or_o proportionable_a to_o the_o rectitude_n of_o the_o right-lined_n inclination_n nor_o the_o rectitude_n of_o the_o right-lined_n inclination_n to_o the_o curvature_n of_o the_o mix_v line_v inclination_n in_o a_o word_n so_o different_a be_v the_o inclinableness_n of_o a_o crooked_a line_n upon_o a_o right_a line_n from_o the_o inclinableness_n of_o a_o right_a line_n upon_o a_o right_a line_n that_o it_o be_v impossible_a for_o the_o one_o ever_o to_o be_v either_o equal_a or_o any_o way_n determinate_o proportionable_a unto_o the_o other_o because_o the_o coaptation_n of_o a_o right_a line_n as_o a_o right_a line_n to_o a_o crooked-line_n as_o a_o crooked_a jine_n be_v against_o the_o property_n of_o their_o figuration_n kind_n and_o nature_n and_o for_o what_o reason_n shall_v there_o be_v lesser_a difference_n between_o a_o crooked-lined_n inclination_n and_o a_o right_n line_v inclination_n than_o there_o be_v between_o a_o crooked-line_n and_o a_o right_a line_n yet_o all_o this_o their_o distinctness_n concern_v only_o a_o heterogeneity_n in_o their_o figuration_n and_o not_o at_o all_o or_o not_o primary_o their_o quantity_n the_o argument_n if_o they_o be_v angle_n or_o plane_n angle_n they_o be_v homogeneal_a and_o of_o the_o same_o kind_n be_v of_o no_o more_o force_n than_o this_o consequence_n if_o they_o be_v quantity_n or_o continuous_a magnitude_n they_o be_v homogeneal_a and_o of_o the_o same_o kind_n and_o they_o that_o deny_v all_o heterogeneity_n in_o angle_n because_o they_o be_v all_o angle_n will_v find_v it_o a_o hard_a task_n upon_o the_o same_o ground_n to_o maintain_v a_o analogous_n homogeneity_n or_o any_o other_o considerable_a homogeneity_n between_o right_n line_v angle_n and_o spherical_a angle_n or_o any_o other_o angle_n make_v by_o plane_n cut_v the_o heterepipedal_n surface_v of_o solid_n and_o especial_o solid_a angle_n of_o what_o sort_n soever_o and_o to_o yield_v that_o all_o plane_n angle_n be_v homogeneal_a for_o it_o be_v true_a and_o the_o most_o absolute_a proper_a and_o genuine_a homogeneity_n be_v among_o plane_n angle_n i_o e._n no_o part_n of_o a_o plane_n angle_n can_v be_v any_o other_o than_o a_o plane_n angle_n how_o great_a or_o little_a soever_o and_o whether_o proportionable_a or_o improportionable_a one_o to_o another_o i._n e._n whither_o mathematical_o homogeneal_a or_o heterogeneal_a yet_o if_o we_o serious_o consider_v what_o be_v this_o homogeneity_n which_o be_v among_o plane_n angle_n that_o all_o their_o part_n be_v plane_n angle_n it_o be_v not_o as_o be_v say_v any_o quantitative_a or_o mathematical_a homogeneity_n the_o contrary_a of_o which_o be_v plentiful_o demonstrate_v in_o geometry_n to_o be_v possible_a nor_o any_o such_o homogeneity_n in_o respect_n of_o the_o manner_n of_o their_o positure_n and_o figuration_n as_o to_o exclude_v all_o far_a distinguishableness_n in_o respect_n of_o figuration_n but_o only_o denote_v that_o in_o every_o plane_n angle_n and_o in_o every_o part_n of_o every_o plane_n angle_n the_o side_n lie_v still_o in_o the_o same_o plane_n which_o homogeneity_n as_o be_v plain_a exclude_v neither_o heterogeneity_n in_o respect_n of_o figuration_n nor_o in_o respect_n of_o proportion_n and_o identity_n in_o the_o way_n of_o measure_v their_o quantity_n to_o the_o objection_n that_o in_o fig._n 12._o the_o recto-convexe_a angle_n of_o contact_n baf_n can_v be_v add_v to_o the_o right_a right-lined_n angle_v bag_n so_o make_v the_o outer_a angle_n of_o a_o semi_a circle_n f_o agnostus_n or_o take_v out_o of_o it_o sc._n the_o recto-convexe_a angle_n of_o contact_n bid_v out_o of_o the_o same_o right_a right-lined_n angle_v bag_n so_o make_v the_o inner_a angle_n of_o a_o semi_a circle_n gad_n and_o that_o therefore_o the_o recto-convexe_a angle_n of_o contact_n f_o ab_fw-la and_o b_o ad_fw-la and_o the_o right_a right-lined_n angle_v bag_n and_o the_o two_o angle_n of_o the_o semi_a circle_n gad_n and_o fag_n be_v all_o of_o they_o homogeneal_a and_o of_o the_o same_o kind_n i_o answer_v first_o what_o need_n be_v there_o of_o such_o endeavour_n for_o you_o to_o prove_v their_o homogeneity_n it_o be_v geometrical_o demonstrate_v and_o confess_v that_o there_o be_v no_o analogy_n or_o proportion_n between_o they_o i_o mean_v between_o the_o recto-convexe_a angle_n of_o contact_n and_o either_o the_o right_a right_n line_v angle_n or_o either_o of_o the_o angle_n of_o the_o semi_a circle_n and_o according_a to_o your_o opinion_n that_o which_o be_v add_v or_o take_v out_o be_v say_v to_o be_v nothing_o but_o especial_o its_o thought_n strange_a why_o there_o shall_v be_v such_o doubt_v that_o heterogeneal_n can_v be_v add_v and_o lay_v up_o together_o as_o into_o one_o repository_n it_o be_v with_o as_o easy_a connexion_n performable_a as_o be_v usual_a in_o the_o addition_n of_o incommensurable_n and_o specious_a quantity_n of_o which_o it_o be_v not_o know_v whether_o they_o be_v homogeneal_a or_o heterogeneal_a and_o out_o of_o a_o heterogeneal_a sum_n as_o a_o store-house_n why_o can_v some_o of_o the_o heterogeneal_n be_v subduct_v the_o rest_n remain_v and_o what_o be_v more_o usual_a than_o the_o add_v of_o heterogeneal_a figure_n one_o unto_o another_o and_o subduct_v out_o of_o a_o give_v figure_n some_o other_o figure_n which_o be_v quite_o heterogeneal_a to_o the_o first_o give_v figure_n so_o to_o add_v together_o number_n and_o measure_n and_o weight_n the_o sum_n of_o which_o may_v be_v divide_v multiply_a increase_v or_o lessen_v notwithstanding_o its_o heterogeneity_n as_o suppose_v a_o b_o c_o d_o all_o heterogeneal_a as_o be_v usual_a in_o analytic_n the_o half_a or_o three_o part_n or_o any_o proportionable_a part_n of_o this_o heterogeneal_a sum_n may_v be_v give_v and_o any_o one_o of_o the_o heterogeneal_a magnitude_n subduct_v the_o rest_n remain_v or_o a_o five_o heterogeneal_a magnitude_n add_v to_o the_o former_a sum_n or_o any_o algorythme_n ever_o specious_o sometime_o complete_o and_o absolute_o thereupon_o perform_v beside_o upon_o geometrical_a demonstration_n and_o your_o own_o confession_n all_o recto-convexe_a convexo-convexe_a and_o citradiametral_a concavo-convexe_a angle_n of_o contact_n must_v necessary_o by_o your_o own_o principle_n be_v allow_v to_o be_v absolute_o heterogeneal_a to_o all_o right-lined_n angle_n whatsoever_o yourself_o acknowledge_v that_o neither_o in_o equality_n nor_o in_o any_o kind_n of_o multiplicity_n or_o submultiplicity_n be_v any_o proportionableness_n possible_a among_o they_o and_o where_o between_o angle_n a_o mathematical_a homogeneity_n be_v confess_v and_o allow_v yet_o heterogeneity_n in_o respect_n of_o their_o schematisme_n and_o figuration_n be_v undeniable_a the_o thing_n therefore_o constitute_v and_o distinguish_v plane_n angle_v in_o respect_n of_o their_o figuration_n be_v as_o above_z their_o side_n their_o inclination_n or_o rather_o inclineableness_n and_o their_o concurrence_n that_o when_o two_o angle_n have_v all_o these_o in_o the_o same_o respective_a kind_n the_o angle_n be_v upon_o good_a reason_n in_o this_o sense_n conclude_v to_o be_v homogeneal_a but_o when_o between_o two_o angle_n be_v a_o heterogeneity_n in_o any_o of_o these_o thing_n which_o be_v of_o the_o essence_n and_o constitution_n of_o a_o angle_n those_o angle_n may_v just_o be_v judge_v in_o this_o sense_n to_o be_v heterogeneal_a and_o that_o such_o a_o specific_a heterogeneity_n may_v be_v in_o each_o of_o these_o may_v easy_o be_v declare_v as_o above_o as_o first_o in_o line_n which_o be_v the_o contain_v side_n how_o easy_a be_v it_o to_o discover_v such_o a_o heterogeneity_n for_o though_o a_o right_a line_n and_o a_o crooked-line_n agree_v undeniable_o in_o the_o general_a nature_n of_o a_o line_n and_o of_o length_n and_o of_o extension_n yet_o the_o rectitude_n of_o the_o one_o and_o the_o curvature_n of_o the_o other_o be_v several_a kind_n of_o positure_n into_o which_o the_o length_n of_o the_o one_o and_o of_o the_o other_o be_v dispose_v that_o except_o in_o contrariety_n we_o can_v see_v nothing_o but_o homogeneity_n such_o a_o heterogeneity_n must_v needs_o be_v acknowledge_v between_o they_o and_o whereas_o homogeneity_n as_o to_o side_n inclination_n and_o concurrence_n be_v require_v to_o the_o homogeneal_a figuration_n of_o angle_n the_o heterogeneity_n of_o the_o side_n hinder_v the_o possibility_n of_o ever_o make_v they_o out_o to_o be_v such_o or_o that_o by_o any_o alter_n their_o divarication_n keep_v their_o present_a property_n they_o can_v be_v coaptable_a and_o that_o angle_v contain_v by_o heterogeneal_a side_n may_v be_v equal_a prove_v only_o the_o equality_n of_o the_o inclination_n in_o either_o but_o not_o the_o homogeneity_n of_o the_o figuration_n of_o the_o angle_n or_o inclination_n as_o the_o equality_n between_o a_o square_a and_o triangle_n in_o respect_n of_o their_o equal_a perimeter_n area_n height_n base_n prove_v not_o in_o the_o least_o
that_o the_o equality_n between_o isoclitical_a concavo-convexe_a and_o right-lined_n angle_n be_v not_o so_o absolute_a as_o to_o make_v they_o every_o way_n alike_o equal_a and_o of_o the_o same_o kind_n may_v appear_v especial_o in_o this_o which_o be_v elsewhere_o demonstrate_v viz._n that_o a_o ultradiametral_a concavo-convexe_a angle_n of_o contact_n be_v isoclitical_a be_v always_o equal_a to_o two_o right_a right-lined_n angle_n which_o no_o one_o right_a lined-angle_n can_v be_v and_o if_o it_o be_v anisoclitical_a of_o the_o large_a it_o be_v ever_o great_a than_o two_o right_a right-lined_n angle_n can_v be_v which_o be_v impossible_a also_o for_o one_o right-lined_n angle_n to_o be_v and_o the_o difference_n between_o mathematical_a heterogeneity_n and_o the_o heterogeneity_n of_o angular_a figuration_n be_v as_o above_o discover_v the_o nature_n as_o well_o of_o anisoclitical_a crooked-lined_n and_o mixt-lined_n secant_fw-la angle_v will_n as_o clear_o appear_v viz._n that_o compare_v they_o with_o right-lined_n angle_v they_o be_v compound_v and_o concrete_a angle_n constitute_v of_o right-lined_n angle_n and_o angle_n of_o contact_n which_o be_v demonstrate_v every_o way_n heterogeneal_a and_o such_o anisoclitical_a secant_fw-la angle_n can_v be_v divide_v into_o any_o number_n at_o pleasure_n of_o part_n homogeneal_a either_o mathematical_o or_o in_o respect_n of_o their_o figuration_n but_o of_o necessity_n some_o of_o they_o must_v be_v both_o way_n heterogeneal_a this_o be_v manifest_a because_o the_o flux_n or_o circumduction_n of_o angle_n of_o contact_n or_o of_o one_o of_o their_o contain_v side_n add_v only_o a_o right-lined_n angle_v to_o they_o after_o the_o same_o manner_n as_o the_o four_o right_a right-lined_n angle_n which_o complete_a the_o space_n in_o any_o plane_n about_o any_o give_a point_n may_v be_v exhaust_v by_o the_o circumduction_n of_o a_o crooked_a concave_a or_o convexe_a autoclitical_a or_o antanaclitical_a line_n as_o well_o as_o by_o the_o circumduction_n of_o a_o right-line_n and_o that_o this_o tie_v not_o both_o angle_n to_o be_v of_o the_o same_o kind_n may_v easy_o appear_v from_o the_o heterogeneity_n between_o line_n and_o their_o flux_n which_o be_v superficial_a or_o surface_v and_o their_o flux_n which_o be_v solid_a no_o wonder_n therefore_o if_o by_o the_o flux_n of_o a_o angle_n of_o contact_n or_o of_o one_o of_o its_o side_n be_v create_v another_o kind_n of_o angle_n hold_v no_o analogy_n with_o the_o former_a the_o heterogeneity_n and_o improportionableness_n of_o right-lined_n angle_n and_o angle_n of_o contact_n have_v be_v demonstrate_v so_o upon_o the_o same_o ground_n we_o may_v be_v assist_v to_o look_v into_o the_o special_a property_n considerable_a in_o the_o several_a kind_n of_o angle_n peculiar_a unto_o some_o and_o incommunicable_a unto_o other_o for_o example_n in_o right_o line_v angle_n neither_o the_o great_a possible_a angle_n nor_o the_o least_o possible_a angle_n can_v be_v give_v though_o all_o usual_o say_v to_o be_v within_o the_o compass_n but_o of_o one_o kind_n but_o to_o pursue_v the_o difference_n which_o be_v in_o angle_n angle_n of_o contact_n except_o such_o as_o be_v contain_v under_o line_n of_o the_o same_o rectitude_n and_o curvature_n be_v every_o one_o of_o a_o several_a kind_n either_o mathematical_o or_o in_o respect_n of_o their_o figuration_n or_o both_o and_o except_o convexo-convexe_a angle_n of_o contact_n of_o equal_a arch_n which_o may_v be_v divide_v into_o two_o equal_a angle_n by_o common_a right-lined_n tangent_n all_o other_o angle_n of_o contact_n be_v every_o one_o both_o the_o great_a and_o least_o possible_a of_o their_o special_a kind_n and_o every_o angle_n of_o contact_n contain_v under_o the_o convexe_a side_n of_o its_o arch_n or_o arch_n be_v the_o least_o possible_a under_o those_o side_n which_o i_o suppose_v be_v the_o speculation_n unhappy_o miss_v by_o those_o learned_a man_n who_o will_v have_v impose_v upon_o the_o world_n upon_o that_o their_o mistake_n the_o dream_n of_o the_o coincidence_n of_o the_o side_n in_o such_o angle_n again_o a_o right-line_n may_v be_v draw_v divide_v a_o convexo-convexe_a angle_n of_o contact_n whether_o it_o divide_v it_o equal_o or_o unequal_o but_o a_o right-line_n can_v be_v draw_v divide_v either_o of_o the_o recto-convexe_a angle_n of_o contact_n into_o which_o the_o former_a be_v so_o divide_v whether_o the_o two_o recto-convexe_a angle_n of_o contact_n be_v of_o the_o same_o or_o different_a kind_n as_o be_v up_o and_o down_o demonstrate_v in_o geometry_n in_o citradiametral_a concavo-convexe_a angle_n of_o contact_n either_o the_o arch_n be_v of_o unequal_a curvature_n or_o which_o be_v tantamount_n though_o they_o be_v of_o equal_a curvature_n yet_o they_o touch_v not_o at_o homologal_a and_o answer_a point_n be_v not_o all_o over_o of_o equal_a curvature_n which_o make_v they_o notwithstanding_o the_o respective_a but_o not_o answer_v equality_n of_o their_o curvature_n to_o be_v anisoclitical_a and_o between_o their_o arch_n contain_v the_o angle_n of_o contact_n a_o right-line_n can_v be_v draw_v but_o infinite_a crooked-line_n in_o number_n may_v be_v draw_v bearing_z in_o like_o manner_n their_o convexity_n towards_o the_o concave_n which_o be_v inward_a and_o their_o concavity_n towards_o the_o convexe_a of_o the_o other_o side_n which_o be_v also_o inward_a concavo-convexe_a angle_n concur_v by_o way_n of_o section_n and_o have_v two_o right-line_n tangent_n draw_v upon_o the_o arch_n at_o the_o angular_a point_n be_v equal_a unto_o the_o right-lined_n angle_v contain_v under_o those_o right-lined_n tangent_n add_v respective_o to_o each_o right-lined_n angle_v one_o of_o the_o recto-convexe_a angle_n of_o contact_n and_o subduct_v out_o of_o it_o the_o other_o recto-convexe_a angle_n of_o contact_n and_o when_o those_o two_o recto-convexe_a angle_n of_o contact_n be_v equal_a as_o they_o be_v when_o the_o side_n be_v isoclitical_a than_o the_o concavo-convexe_a angle_n be_v exact_o equal_a to_o the_o right-lined_n angle_n but_o when_o the_o two_o recto-convexe_a angle_n of_o contact_n be_v unequal_a as_o they_o be_v when_o the_o side_n of_o the_o concavo-convexe_a angle_n be_v anisoclitical_a than_o the_o concavo-convexe_a angle_n and_o the_o right-lined_n angle_n be_v unequal_a concavo-concave_a angle_n concur_v by_o way_n of_o section_n as_o all_o such_o ever_o do_v or_o by_o coincidence_n and_o then_o one_o right-lined_n tangent_fw-la give_v the_o analysme_n of_o they_o show_v the_o two_o recto-convexe_a angle_n of_o contact_n by_o which_o the_o angle_n of_o coincidence_n be_v less_o than_o two_o right_a right-lined_n angle_n be_v by_o two_o right-lined_n tangent_n at_o the_o angular_a point_n reduce_v into_o the_o right-lined_n angle_n which_o be_v the_o least_o of_o those_o right-lined_n angle_n that_o be_v great_a than_o it_o exceed_v it_o only_o by_o two_o recto-convexe_a angle_n of_o contact_n to_o be_v take_v out_o of_o it_o convexo-convexe_a angle_n concur_v by_o way_n of_o section_n be_v by_o two_o right-lined_n tangent_n at_o the_o angular_a point_n reduce_v into_o a_o right-lined_n angle_n unto_o which_o to_o make_v it_o equal_a to_o the_o convexo-convexe_a angle_n be_v to_o be_v add_v two_o recto-convexe_a angle_n of_o contact_n and_o the_o right-lined_n angle_n be_v the_o great_a of_o all_o the_o right-lined_n angle_n that_o be_v less_o than_o the_o convexo-convexe_a angle_n recto-concave_a angle_n concur_v by_o way_n of_o contact_n be_v the_o great_a angle_n possible_a under_o those_o two_o side_n recto-convexe_a angle_n concur_v by_o way_n of_o contact_n be_v the_o least_o angle_n possible_a under_o those_o two_o side_n if_o we_o compare_v recto-concave_a angle_n of_o contact_n with_o right_n line_v angle_n they_o be_v less_o than_o two_o right_a right-lined_n angle_v by_o one_o only_a recto-convexe_a angle_n of_o contact_n and_o the_o least_o 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recto-convexe_a angle_n of_o contact_n the_o inclination_n of_o the_o side_n without_o the_o angular_a point_n at_o any_o two_o respective_a or_o other_o point_n the_o one_o take_v in_o the_o one_o side_n